{"id":13578,"date":"2016-09-17T03:15:57","date_gmt":"2016-09-17T03:15:57","guid":{"rendered":"http:\/\/blogs.vsb.bc.ca\/dkeller\/?page_id=13578"},"modified":"2021-10-12T16:08:30","modified_gmt":"2021-10-12T16:08:30","slug":"pattern-painting-project","status":"publish","type":"page","link":"https:\/\/blogs.vsb.bc.ca\/dkeller\/pattern-painting-project\/","title":{"rendered":"Pattern Painting Project"},"content":{"rendered":"<blockquote><p>&nbsp;<\/p><\/blockquote>\n<p><em><span style=\"color: #800000\">***Please note that it will be most advantageous\u00a0if you have a firm understanding of Colour before you begin this project. \u00a0 <a style=\"color: #800000;text-decoration: underline\" href=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/intro-to-colour\/\">Intro to Colour Project<\/a><\/span><\/em><\/p>\n<p><em><span style=\"color: #800000\">***Please, please, note that the following unity is meant as the backdrop to a lecture.<\/span>\u00a0<\/em><\/p>\n<p>&nbsp;<\/p>\n<p>OK, let&#8217;s listen to\u00a0some Tycho, <span style=\"text-decoration: underline\">The science of pattern<\/span>s while we talk about patterns<\/p>\n<p><iframe title=\"Tycho - The Science of Patterns\" width=\"956\" height=\"717\" src=\"https:\/\/www.youtube.com\/embed\/u0txgXdGW5s?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p style=\"text-align: center\"><span style=\"color: #0000ff\"><strong>As we listen I would like you to think not only of Pattern\u00a0but of repetition and rhythm as well.<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #008000\">Curriculum objectives:<\/span><\/p>\n<ul>\n<li><span style=\"color: #008000\">Big idea: Pattern\u00a0is a huge topic that can be used to talk about the history of humanity, the spread of disease, Math and a whole lot more,,, really almost\u00a0everything we know can be talked about in relationship\u00a0to patterns.<\/span><\/li>\n<li><span style=\"color: #008000\">In this unit, we will explore the patterns as structure. Talk about how artists use pattern. \u00a0Use patterns as a means to deepen our understanding of colour theory.<\/span><\/li>\n<li><span style=\"color: #008000\">Students will design and produce patterns based on Ideas and colour schemes.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>In this Page you will find the following sections:<\/strong><\/p>\n<p>What is a pattern?<br \/>\nPatterns from around the world<br \/>\nTypes of Patterns<br \/>\nArticles about Patterns and the world we live in<br \/>\nTask<br \/>\nMarking criteria<\/p>\n<p>___________________________________<\/p>\n<div id=\"attachment_14575\" style=\"width: 1175px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" aria-describedby=\"caption-attachment-14575\" class=\"size-full wp-image-14575\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss.jpg\" alt=\"Image source http:\/\/whitney.org\/Exhibitions\/TestPattern\" width=\"1165\" height=\"882\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss.jpg 1165w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-150x114.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-300x227.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-768x581.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-1024x775.jpg 1024w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-560x424.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-260x197.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Nick-Mauss-160x121.jpg 160w\" sizes=\"(max-width: 1165px) 100vw, 1165px\" \/><p id=\"caption-attachment-14575\" class=\"wp-caption-text\">Image source http:\/\/whitney.org\/Exhibitions\/TestPattern<\/p><\/div>\n<p>&nbsp;<\/p>\n<p><strong>What is a pattern?<\/strong><\/p>\n<blockquote><p><b>Pattern<\/b> is the underlying structure that organises surfaces or structures in a consistent, regular manner. Patterns can be described as a repeating unit of shape or form, but it can also be thought of as the &#8220;skeleton&#8221; that organises the parts of a composition.<\/p>\n<p>Pattern exists in nature as well as in designed objects; it is useful to look at the parallels. A Harvard biologist named Peter S. Stevens has published a book entitled &#8220;<i>Patterns in Nature<\/i>&#8221; in which he claims that there are only a finite number of ways that patterns can be structured. He starts with the idea of a <strong>grid<\/strong> as the foundation for any structure or image. He presents a set of ways in which the points of a grid can be connected. These modes of connection become classes of pattern, which he claims can be seen in any situation, in nature and in made images, and from the microscopic to the cosmic scale.<\/p>\n<div id=\"attachment_14576\" style=\"width: 439px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-14576\" class=\" wp-image-14576\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/rrmint_moroccan_repeat_spoonflower_shop_thumb.png\" alt=\"Image source www.spoonflower.com\" width=\"429\" height=\"429\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/rrmint_moroccan_repeat_spoonflower_shop_thumb.png 173w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/rrmint_moroccan_repeat_spoonflower_shop_thumb-150x150.png 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/rrmint_moroccan_repeat_spoonflower_shop_thumb-160x160.png 160w\" sizes=\"(max-width: 429px) 100vw, 429px\" \/><p id=\"caption-attachment-14576\" class=\"wp-caption-text\">Image source www.spoonflower.com<\/p><\/div>\n<p>The modes he describes include the following which are described here in terms of examples from nature. However, each of these modes can also be seen in examples of designed objects and works of art:<\/p>\n<p>(text source http:\/\/char.txa.cornell.edu\/language\/element\/pattern\/pattern.htm)<\/p><\/blockquote>\n<div id=\"attachment_13881\" style=\"width: 469px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-13881\" class=\" wp-image-13881\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-2.jpeg\" alt=\"Image source www.inspirememandalas.com1\" width=\"459\" height=\"461\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-2.jpeg 224w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-2-150x150.jpeg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-2-160x161.jpeg 160w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><p id=\"caption-attachment-13881\" class=\"wp-caption-text\">Image source www.inspirememandalas.com<\/p><\/div>\n<p>&nbsp;<\/p>\n<div class=\"article-text clearfix\">\n<div class=\"\">\n<blockquote><p>Humans are natural pattern recognizers. \u00a0Whether, as in prehistoric times, we were recognizing danger in a telltale rustle of the bushes or skimming a page of letters and numbers today, we use patterns to derive meaning without having to do a more detailed inspection.<\/p>\n<p>Futurist and entrepreneur\u00a0<a href=\"http:\/\/en.wikipedia.org\/wiki\/Ray_Kurzweil\">Ray Kurzweil<\/a>\u00a0considers pattern recognition so important that in his recent book,\u00a0<a href=\"http:\/\/www.amazon.com\/How-Create-Mind-Thought-Revealed\/dp\/1491518839\"><em>How to Create A Mind<\/em><\/a>, he argued that pattern recognition and intelligence are essentially the same thing. \u00a0Expertise, in essence, is the familiarity of patterns of a specific field.<\/p>\n<div id=\"attachment_14577\" style=\"width: 1290px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14577\" class=\"size-full wp-image-14577\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800.jpg\" alt=\"Image source http:\/\/www.wallpaperhd.pk\/\" width=\"1280\" height=\"800\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800.jpg 1280w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-150x94.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-300x188.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-768x480.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-1024x640.jpg 1024w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-560x350.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-260x163.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/electronic-circuit-board-wallpaper-1280x800-160x100.jpg 160w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><p id=\"caption-attachment-14577\" class=\"wp-caption-text\">Image source http:\/\/www.wallpaperhd.pk\/<\/p><\/div>\n<p>Today,\u00a0<a href=\"http:\/\/www.digitaltonto.com\/2013\/how-the-machines-are-learning-to-take-over\/\">machines are learning to recognize patterns<\/a>\u00a0as well. <a href=\"http:\/\/www.digitaltonto.com\/2014\/mass-personalization-is-coming-are-we-ready-for-it\/\">Marketers analyze patterns<\/a>\u00a0to target their messages and\u00a0<a href=\"http:\/\/www.ibm.com\/smarterplanet\/us\/en\/ibmwatson\/what-is-watson.html\">IBM\u2019s Watson<\/a>\u00a0can detect patterns embedded in millions of documents\u00a0<a href=\"http:\/\/www.wired.com\/2012\/03\/ibm-watson\/\">in fields such as medicine<\/a>. \u00a0However, there\u2019s a problem with patterns. \u00a0Just as they can uncover hidden meaning, they can also make us see things that aren\u2019t really there. (<a class=\"link preload-hidden ng-binding\" href=\"http:\/\/www.forbes.com\/sites\/gregsatell\/\">Greg Satell<\/a>\u00a0http:\/\/www.forbes.com\/sites\/gregsatell\/2015\/05\/01\/the-science-of-patterns\/#10ef6c565361)<\/p><\/blockquote>\n<\/div>\n<\/div>\n<p><strong>Patterns from around the world<\/strong><\/p>\n<p>Let&#8217;s take a look at some patterns found around our world. <span style=\"color: #0000ff\">Click on the image below for a slide show.<\/span><\/p>\n<div id=\"attachment_14573\" style=\"width: 738px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.slideshare.net\/elemICT\/world-patterns\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14573\" class=\"size-full wp-image-14573\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728.jpg\" alt=\"Image from http:\/\/www.slideshare.net\/\" width=\"728\" height=\"563\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728.jpg 728w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728-150x116.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728-300x232.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728-560x433.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728-260x201.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/world-patterns-24-728-160x124.jpg 160w\" sizes=\"(max-width: 728px) 100vw, 728px\" \/><\/a><p id=\"caption-attachment-14573\" class=\"wp-caption-text\">Image from http:\/\/www.slideshare.net\/<\/p><\/div>\n<p>&nbsp;<\/p>\n<h2><strong>The History of Patterns:<\/strong><\/h2>\n<ul>\n<li>Patterns\u00a0are as old as humanity. \u00a0We can see Patterns on early clay shards, cave paintings, early textiles and basketry.<\/li>\n<li>Can we see history as a pattern?<\/li>\n<li>Could it be said that the history of humanity is the history discovery the patterns around us\u00a0how we have incorporating them into our lives?<\/li>\n<li><\/li>\n<\/ul>\n<h2><strong>Types of patterns:<\/strong><\/h2>\n<blockquote><p>Nature provides examples of many kinds of pattern, including <a title=\"Symmetry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Symmetry\">symmetries<\/a>, trees and other structures with a <a title=\"Fractal\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fractal\">fractal<\/a> dimension, <a class=\"mw-redirect\" title=\"Spirals\" href=\"https:\/\/en.wikipedia.org\/wiki\/Spirals\">spirals<\/a>, <a title=\"Meander\" href=\"https:\/\/en.wikipedia.org\/wiki\/Meander\">meanders<\/a>, <a title=\"Wave\" href=\"https:\/\/en.wikipedia.org\/wiki\/Wave\">waves<\/a>, <a title=\"Foam\" href=\"https:\/\/en.wikipedia.org\/wiki\/Foam\">foams<\/a>, <a title=\"Tessellation\" href=\"https:\/\/en.wikipedia.org\/wiki\/Tessellation\">tilings<\/a>, <a title=\"Fracture\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fracture\">cracks<\/a> and stripes.<sup id=\"cite_ref-3\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-3\">[2]<\/a><\/sup><\/p>\n<h3><span id=\"Symmetry\" class=\"mw-headline\">Symmetry<\/span><\/h3>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div id=\"attachment_14583\" style=\"width: 418px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14583\" class=\" wp-image-14583\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3.jpg\" alt=\"Image source https:\/\/sylvaindeville.net\/2015\/03\/10\/snowflakes-engineered\/\" width=\"408\" height=\"411\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3.jpg 550w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3-150x150.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3-298x300.jpg 298w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3-260x262.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/sans-titre3-160x161.jpg 160w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/><p id=\"caption-attachment-14583\" class=\"wp-caption-text\">Image source https:\/\/sylvaindeville.net\/2015\/03\/10\/snowflakes-engineered\/<\/p><\/div>\n<div class=\"thumbcaption\"><a title=\"Snowflake\" href=\"https:\/\/en.wikipedia.org\/wiki\/Snowflake\">Snowflake<\/a><a class=\"mw-redirect\" title=\"Dihedral symmetry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Dihedral_symmetry\">sixfold symmetry<\/a><\/div>\n<\/div>\n<\/div>\n<p>Symmetry is widespread in living things. Animals that move usually have bilateral or <a title=\"Reflection symmetry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Reflection_symmetry\">mirror symmetry<\/a> as this favours movement.<sup id=\"cite_ref-4\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-4\">[3]<\/a><\/sup> Plants often have radial or <a title=\"Rotational symmetry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Rotational_symmetry\">rotational symmetry<\/a>, as do many flowers, as well as animals which are largely static as adults, such as <a title=\"Sea anemone\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sea_anemone\">sea anemones<\/a>. Fivefold symmetry is found in the <a class=\"mw-redirect\" title=\"Echinoderms\" href=\"https:\/\/en.wikipedia.org\/wiki\/Echinoderms\">echinoderms<\/a>, including <a title=\"Starfish\" href=\"https:\/\/en.wikipedia.org\/wiki\/Starfish\">starfish<\/a>, <a title=\"Sea urchin\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sea_urchin\">sea urchins<\/a>, and <a class=\"mw-redirect\" title=\"Sea lilies\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sea_lilies\">sea lilies<\/a>.<sup id=\"cite_ref-5\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-5\">[4]<\/a><\/sup><\/p>\n<p>Among non-living things, <a title=\"Snowflake\" href=\"https:\/\/en.wikipedia.org\/wiki\/Snowflake\">snowflakes<\/a> have striking <a class=\"mw-redirect\" title=\"Dihedral symmetry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Dihedral_symmetry\">sixfold symmetry<\/a>: each flake is unique, its structure recording the varying conditions during its crystallisation similarly on each of its six arms.<sup id=\"cite_ref-6\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-6\">[5]<\/a><\/sup> <a title=\"Crystal\" href=\"https:\/\/en.wikipedia.org\/wiki\/Crystal\">Crystals<\/a> have a highly specific set of possible <a title=\"Crystal habit\" href=\"https:\/\/en.wikipedia.org\/wiki\/Crystal_habit\">crystal symmetries<\/a>; they can be cubic or octahedral, but cannot have fivefold symmetry (unlike <a class=\"mw-redirect\" title=\"Quasicrystals\" href=\"https:\/\/en.wikipedia.org\/wiki\/Quasicrystals\">quasicrystals<\/a>).<sup id=\"cite_ref-7\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-7\">[6]\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/a><\/sup><\/p><\/blockquote>\n<div id=\"attachment_14581\" style=\"width: 681px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14581\" class=\" wp-image-14581\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn.jpg\" alt=\"Image source http:\/\/fineartamerica.com\/featured\/ghosts-of-symmetry-joel-kahn.html\" width=\"671\" height=\"671\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn.jpg 900w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-150x150.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-300x300.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-768x768.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-560x560.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-260x260.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/ghosts-of-symmetry-joel-kahn-160x160.jpg 160w\" sizes=\"(max-width: 671px) 100vw, 671px\" \/><p id=\"caption-attachment-14581\" class=\"wp-caption-text\">Image source http:\/\/fineartamerica.com\/featured\/ghosts-of-symmetry-joel-kahn.html<\/p><\/div>\n<h3><a href=\"https:\/\/www.google.ca\/search?q=Symmetry+art&amp;safe=active&amp;rls=com.microsoft:en-US&amp;biw=1440&amp;bih=733&amp;source=lnms&amp;tbm=isch&amp;sa=X&amp;ved=0ahUKEwjA8J7qroPRAhWBKGMKHZtIArsQ_AUIBigB#safe=active&amp;tbm=isch&amp;q=symmetry+in+famous+art\">Symmetry in Art\u00a0images<\/a><\/h3>\n<p><span style=\"color: #0000ff\">(*An excellent article! <a style=\"color: #0000ff\" href=\"http:\/\/blog.artlandia.com\/the-simplest-diagram-of-the-17-symmetry-types-ever\/\">The Simplest Diagram of the 17 Symmetry Types, Eve<\/a>r)<\/span><\/p>\n<blockquote>\n<h3><span id=\"Spirals\" class=\"mw-headline\">Spirals<\/span><\/h3>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div id=\"attachment_14582\" style=\"width: 420px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14582\" class=\"size-full wp-image-14582\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1.jpg\" alt=\"Image source axesmundi.blogspot.com\" width=\"410\" height=\"324\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1.jpg 410w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1-150x119.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1-300x237.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1-260x205.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Daniela_Bertol-140429-NautilusSpiralShell-1-160x126.jpg 160w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><p id=\"caption-attachment-14582\" class=\"wp-caption-text\">Image source axesmundi.blogspot.com<\/p><\/div>\n<div class=\"thumbcaption\">\n<div class=\"magnify\"><\/div>\n<p><i><a title=\"Aloe polyphylla\" href=\"https:\/\/en.wikipedia.org\/wiki\/Aloe_polyphylla\">Aloe polyphylla<\/a><\/i><a title=\"Phyllotaxis\" href=\"https:\/\/en.wikipedia.org\/wiki\/Phyllotaxis\">phyllotaxis<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>Spiral patterns are found in the body plans of animals including <a class=\"mw-redirect\" title=\"Molluscs\" href=\"https:\/\/en.wikipedia.org\/wiki\/Molluscs\">molluscs<\/a> such as the <a title=\"Nautilus\" href=\"https:\/\/en.wikipedia.org\/wiki\/Nautilus\">nautilus<\/a>, and in the <a title=\"Phyllotaxis\" href=\"https:\/\/en.wikipedia.org\/wiki\/Phyllotaxis\">phyllotaxis<\/a> of many plants, both of leaves spiralling around stems, and in the multiple spirals found in flowerheads such as the <a class=\"mw-redirect\" title=\"Sunflower\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sunflower\">sunflower<\/a> and fruit structures like the <a title=\"Pineapple\" href=\"https:\/\/en.wikipedia.org\/wiki\/Pineapple\">pineapple<\/a>.<sup id=\"cite_ref-8\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-8\">[7]\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/a><\/sup><\/p>\n<div><\/div>\n<\/blockquote>\n<div id=\"attachment_14585\" style=\"width: 658px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14585\" class=\"size-full wp-image-14585\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo.jpg\" alt=\"Image source http:\/\/art-now-and-then.blogspot.ca\/2016\/01\/remedios-varo.html\" width=\"648\" height=\"567\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo.jpg 648w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo-150x131.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo-300x263.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo-560x490.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo-260x228.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Spiral-Transit-1962-Remedios-Varo-160x140.jpg 160w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><p id=\"caption-attachment-14585\" class=\"wp-caption-text\">Image source http:\/\/art-now-and-then.blogspot.ca\/2016\/01\/remedios-varo.html<\/p><\/div>\n<p>(<a href=\"http:\/\/art-now-and-then.blogspot.ca\/2016\/01\/remedios-varo.html\">If you like the painting above by Remedios Varo CLICK HERE to see more of her work<\/a>)<\/p>\n<h3><a href=\"https:\/\/www.google.ca\/search?q=Symmetry+art&amp;safe=active&amp;rls=com.microsoft:en-US&amp;biw=1440&amp;bih=733&amp;source=lnms&amp;tbm=isch&amp;sa=X&amp;ved=0ahUKEwjA8J7qroPRAhWBKGMKHZtIArsQ_AUIBigB#safe=active&amp;tbm=isch&amp;q=Spirals+in+famous+art+and+ancient+cultures\">Spirals in Art<\/a><\/h3>\n<p>&nbsp;<\/p>\n<h3><span id=\"Chaos.2C_flow.2C_meanders\" class=\"mw-headline\">Chaos, flow, meanders<\/span><\/h3>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div class=\"thumbcaption\">\n<div class=\"magnify\">\n<p>\u00a0Can you guess what the image below is?<\/p>\n<div id=\"attachment_14591\" style=\"width: 552px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14591\" class=\" wp-image-14591\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap.jpg\" alt=\"Image source www.cardus.ca\" width=\"542\" height=\"783\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap.jpg 800w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-104x150.jpg 104w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-208x300.jpg 208w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-768x1109.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-709x1024.jpg 709w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-560x809.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-260x375.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/themeandermap-160x231.jpg 160w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><p id=\"caption-attachment-14591\" class=\"wp-caption-text\">Image source www.cardus.ca<\/p><\/div>\n<p>It is a pictorial\u00a0history of all the different routes the Mississippi has taken over thousands of years.<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<blockquote><p><a title=\"Chaos theory\" href=\"https:\/\/en.wikipedia.org\/wiki\/Chaos_theory\">Chaos theory<\/a> predicts that while the laws of <a title=\"Physics\" href=\"https:\/\/en.wikipedia.org\/wiki\/Physics\">physics<\/a> are <a class=\"mw-redirect\" title=\"Deterministic\" href=\"https:\/\/en.wikipedia.org\/wiki\/Deterministic\">deterministic<\/a>, events and patterns in nature never exactly repeat because extremely small differences in starting conditions can lead to widely differing outcomes.<sup id=\"cite_ref-9\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-9\">[8]<\/a><\/sup> Many natural patterns are shaped by this apparent randomness, including <a class=\"mw-redirect\" title=\"Vortex street\" href=\"https:\/\/en.wikipedia.org\/wiki\/Vortex_street\">vortex streets<\/a><sup id=\"cite_ref-10\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-10\">[9]<\/a><\/sup> and other effects of turbulent flow such as <a title=\"Meander\" href=\"https:\/\/en.wikipedia.org\/wiki\/Meander\">meanders<\/a> in rivers.<sup id=\"cite_ref-11\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-11\">[10]<\/a>\u00a0\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/sup><\/p>\n<div>\n<div id=\"attachment_14592\" style=\"width: 495px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14592\" class=\"wp-image-14592 \" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Double-compound-pendulum.gif\" alt=\"Image source Wikipedia. A double rod pendulumanimation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions \" width=\"485\" height=\"364\" \/><p id=\"caption-attachment-14592\" class=\"wp-caption-text\">Image source Wikipedia A double rod pendulumanimation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions<\/p><\/div>\n<\/div>\n<\/blockquote>\n<div>\n<p><span style=\"color: #800000\">There are even patterns in static or white noise\u00a0<a style=\"color: #800000\" href=\"http:\/\/www.tmsoft.com\/white-noise-player\/\">Click here<\/a><\/span><\/p>\n<\/div>\n<div><\/div>\n<blockquote>\n<h3><span id=\"Spots.2C_stripes\" class=\"mw-headline\">Spots, stripes<\/span><\/h3>\n<\/blockquote>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div id=\"attachment_14597\" style=\"width: 4686px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14597\" class=\"size-full wp-image-14597\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall.jpg\" alt=\"Image source nationalaquarium.wordpress.com\" width=\"4676\" height=\"3117\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall.jpg 4676w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-150x100.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-300x200.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-768x512.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-1024x683.jpg 1024w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-560x373.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-260x173.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/map-puffer13-06-110029grall-160x107.jpg 160w\" sizes=\"(max-width: 4676px) 100vw, 4676px\" \/><p id=\"caption-attachment-14597\" class=\"wp-caption-text\">Image source nationalaquarium.wordpress.com<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div class=\"thumbcaption\">\n<div class=\"magnify\">\u00a0Giant puffer fish skin<\/div>\n<div class=\"magnify\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<blockquote>\n<div class=\"hatnote\">Main article: <a title=\"Pattern formation\" href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern_formation\">Pattern formation<\/a><\/div>\n<p><a title=\"Alan Turing\" href=\"https:\/\/en.wikipedia.org\/wiki\/Alan_Turing\">Alan Turing<\/a>,<sup id=\"cite_ref-Turing_17-0\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-Turing-17\">[16]<\/a><\/sup> and later the mathematical biologist <a title=\"James D. Murray\" href=\"https:\/\/en.wikipedia.org\/wiki\/James_D._Murray\">James D. Murray<\/a><sup id=\"cite_ref-Murray2013_18-0\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-Murray2013-18\">[17]<\/a><\/sup> and other scientists, described a mechanism that spontaneously creates spotted or striped patterns, for example in the skin of mammals or the plumage of birds: a <a class=\"mw-redirect\" title=\"Reaction-diffusion\" href=\"https:\/\/en.wikipedia.org\/wiki\/Reaction-diffusion\">reaction-diffusion<\/a> system involving two counter-acting chemical mechanisms, one that activates and one that inhibits a development, such as of dark pigment in the skin.<sup id=\"cite_ref-Ball159_19-0\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-Ball159-19\">[18]<\/a><\/sup> These <a title=\"Spatiotemporal pattern\" href=\"https:\/\/en.wikipedia.org\/wiki\/Spatiotemporal_pattern\">spatiotemporal patterns<\/a> slowly drift, the animals&#8217; appearance changing imperceptibly as Turing predicted.\u00a0\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/p><\/blockquote>\n<p><span style=\"color: #800000\">Here is another interesting\u00a0non-equilibrium thermodynamics a\u00a0<b>Belousov\u2013Zhabotinsky reaction. \u00a0<\/b>Take a look.<\/span><\/p>\n<p><iframe title=\"The Belousov-Zhabotinsky Oscillating Reaction\" width=\"956\" height=\"538\" src=\"https:\/\/www.youtube.com\/embed\/PpyKSRo8Iec?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<blockquote><p>A <b>Belousov\u2013Zhabotinsky reaction&#8217;<i>, or<\/i><\/b><i>BZ reaction<b>,<\/b><\/i> is one of a class of reactions that serve as a classical example of <a title=\"Non-equilibrium thermodynamics\" href=\"https:\/\/en.wikipedia.org\/wiki\/Non-equilibrium_thermodynamics\">non-equilibrium thermodynamics<\/a>, resulting in the establishment of a <a class=\"mw-redirect\" title=\"Nonlinear\" href=\"https:\/\/en.wikipedia.org\/wiki\/Nonlinear\">nonlinear<\/a><a title=\"Chemical clock\" href=\"https:\/\/en.wikipedia.org\/wiki\/Chemical_clock\">chemical oscillator<\/a>. The only common element in these oscillators is the inclusion of bromine and an acid. The reactions are important to theoretical chemistry in that they show that chemical reactions do not have to be dominated by <a title=\"Equilibrium thermodynamics\" href=\"https:\/\/en.wikipedia.org\/wiki\/Equilibrium_thermodynamics\">equilibrium thermodynamic<\/a><\/p>\n<p>behavior<\/p>\n<p>. These reactions are far from equilibrium and remain so for a significant length of time and evolve <a title=\"Chaos theory\" href=\"https:\/\/en.wikipedia.org\/wiki\/Chaos_theory\">chaotically<\/a>. In this sense, they provide an interesting chemical model of nonequilibrium biological phenomena, and the mathematical models of the BZ reactions themselves are of theoretical interest and simulations.<\/p>\n<p><span style=\"font-size: 10pt\">(text source https:\/\/en.wikipedia.org\/wiki\/Belousov%E2%80%93Zhabotinsky_reaction#cite_note-1)<\/span><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<div id=\"attachment_14598\" style=\"width: 387px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14598\" class=\" wp-image-14598\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/BeachStripes.jpg\" alt=\"Artist Michael Carson Image source http:\/\/artcontrarian.blogspot.ca\/2011\/03\/dialing-it-back.html\" width=\"377\" height=\"566\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/BeachStripes.jpg 213w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/BeachStripes-100x150.jpg 100w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/BeachStripes-200x300.jpg 200w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/BeachStripes-160x240.jpg 160w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><p id=\"caption-attachment-14598\" class=\"wp-caption-text\"><span style=\"font-size: 10pt\">Artist Michael Carson<\/span><br \/><span style=\"font-size: 10pt\">Image source http:\/\/artcontrarian.blogspot.ca\/2011\/03\/dialing-it-back.html<\/span><\/p><\/div>\n<blockquote>\n<h2><span id=\"Art_and_architecture\" class=\"mw-headline\">Art and architecture<\/span><\/h2>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<div id=\"attachment_14601\" style=\"width: 771px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14601\" class=\"wp-image-14601\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/1024px-Enderun_library_Topkapi_42.jpg\" alt=\"1024px-enderun_library_topkapi_42\" width=\"761\" height=\"575\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/1024px-Enderun_library_Topkapi_42-150x113.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/1024px-Enderun_library_Topkapi_42-260x195.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/1024px-Enderun_library_Topkapi_42-160x120.jpg 160w\" sizes=\"(max-width: 761px) 100vw, 761px\" \/><p id=\"caption-attachment-14601\" class=\"wp-caption-text\">Image source wikioedia<\/p><\/div>\n<div class=\"thumbcaption\">\n<div class=\"magnify\"><\/div>\n<p>Elaborate ceramic tiles at <a class=\"mw-redirect\" title=\"Topkapi Palace\" href=\"https:\/\/en.wikipedia.org\/wiki\/Topkapi_Palace\">Topkapi Palace<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/blockquote>\n<div class=\"hatnote\">\n<h3><span id=\"Tilings\" class=\"mw-headline\">Tilings<\/span><\/h3>\n<blockquote><p><strong>The Art of Elegant Tiling<\/strong><\/p>\n<p>Mathematics and art have many points of contact, but none is more beautiful than the concept of symmetry. The mathematician\u2019s approach to symmetry is a little too rigid for most forms of visual art, but it can be readily applied to any art form that features repetitive patterns. Wallpaper, fabrics and tiles are familiar examples, and all of them can rise to great artistic heights. Tiles and wallpaper designed by 19th-century British artist William Morris are displayed in London\u2019s Victoria and Albert Museum. The Edo-Tokyo Museum possesses some absolutely outstanding examples of patterned kimonos, and the Alhambra palace in Granada, Spain, is renowned worldwide for its intricate tiled patterns.<\/p>\n<p>Although the basic mathematics of symmetry and tilings was worked out long ago, new discoveries continue to be made, often by artists. Rosemary Grazebrook, a contemporary British artist, has invented a remarkably simple tiling system that is eminently practical and different enough from the usual rectangular tiles to be interesting. It is also ingenious and, in the right hands, beautiful.<\/p><\/blockquote>\n<p><a href=\"http:\/\/www.whydomath.org\/Reading_Room_Material\/ian_stewart\/0799.html\">(<span style=\"color: #0000ff\">*To read more of\u00a0<strong> Ian Stewart&#8217;s article\u00a0The Art of Elegant Tiling CLICK HERE)<\/strong><\/span><\/a><\/p>\n<\/div>\n<h2 class=\"hatnote\">Tessellation and Tile<\/h2>\n<p>In visual art, pattern consists in regularity which in some way &#8220;organises surfaces or structures in a consistent, regular manner.&#8221; At its simplest, a pattern in art may be a geometric or other repeating shape in a <a title=\"Painting\" href=\"https:\/\/en.wikipedia.org\/wiki\/Painting\">painting<\/a>, <a title=\"Drawing\" href=\"https:\/\/en.wikipedia.org\/wiki\/Drawing\">drawing<\/a>, <a title=\"Tapestry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Tapestry\">tapestry<\/a>, ceramic <a title=\"Tile\" href=\"https:\/\/en.wikipedia.org\/wiki\/Tile\">tiling<\/a> or <a title=\"Carpet\" href=\"https:\/\/en.wikipedia.org\/wiki\/Carpet\">carpet<\/a>, but a pattern need not necessarily repeat exactly as long as it provides some form or organising &#8220;skeleton&#8221; in the artwork.<sup id=\"cite_ref-20\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-20\">[19]<\/a><\/sup> In mathematics, a <a title=\"Tessellation\" href=\"https:\/\/en.wikipedia.org\/wiki\/Tessellation\">tessellation<\/a> is the tiling of a plane using one or more geometric shapes (which mathematicians call tiles), with no overlaps and no gaps.<sup id=\"cite_ref-Grunbaum_21-0\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-Grunbaum-21\">[20]<\/a><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-7\">Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/a><\/sup><\/p>\n<p><span style=\"color: #ff0000\">Have you seen<\/span> \u00a0<a href=\"https:\/\/www.google.ca\/search?q=escher+tessellation&amp;safe=active&amp;rls=com.microsoft:en-US&amp;biw=1440&amp;bih=733&amp;source=lnms&amp;tbm=isch&amp;sa=X&amp;ved=0ahUKEwiCjaiz97bRAhVLsFQKHdNkCk4Q_AUIBigB#imgdii=xqabVLqx4r8E_M%3A%3BxqabVLqx4r8E_M%3A%3Bdb0FuXWsTXZJ3M%3A&amp;imgrc=xqabVLqx4r8E_M%3A\">the tessellations of MC Escher?<\/a><\/p>\n<div id=\"attachment_14847\" style=\"width: 526px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14847\" class=\" wp-image-14847\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/pegasus-1.gif\" alt=\"\" width=\"516\" height=\"518\" \/><p id=\"caption-attachment-14847\" class=\"wp-caption-text\">Image source http:\/\/britton.disted.camosun.bc.ca\/ \u00a0By Escher<\/p><\/div>\n<div id=\"attachment_14848\" style=\"width: 139px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14848\" class=\"size-full wp-image-14848\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/animpegasus.gif\" alt=\"\" width=\"129\" height=\"150\" \/><p id=\"caption-attachment-14848\" class=\"wp-caption-text\">Image source http:\/\/britton.disted.camosun.bc.ca\/<\/p><\/div>\n<p>&nbsp;<\/p>\n<div id=\"attachment_14638\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14638\" class=\"size-full wp-image-14638\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling.png\" alt=\"Image source http:\/\/mathstat.slu.edu\/escher\/index.php\/Aperiodic_Tessellations\" width=\"600\" height=\"184\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling.png 600w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling-150x46.png 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling-300x92.png 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling-560x172.png 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling-260x80.png 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-tiling-160x49.png 160w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><p id=\"caption-attachment-14638\" class=\"wp-caption-text\">Image source http:\/\/mathstat.slu.edu\/escher\/index.php\/Aperiodic_Tessellations<\/p><\/div>\n<blockquote><p>To draw a substitution tiling by hand, begin with a large version of the tile, subdivide it into smaller copies of itself, and then continue subdividing each smaller copy until the desired level of detail is reached:<\/p>\n<div id=\"attachment_14637\" style=\"width: 370px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14637\" class=\"size-full wp-image-14637\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Sphinx-substitution-animated.gif\" alt=\"Image source http:\/\/mathstat.slu.edu\/escher\/index.php\/Aperiodic_Tessellations\" width=\"360\" height=\"214\" \/><p id=\"caption-attachment-14637\" class=\"wp-caption-text\">Image source http:\/\/mathstat.slu.edu\/escher\/index.php\/Aperiodic_Tessellations<\/p><\/div>\n<p>In the Extension Theorem, the tile (or tiles) are required to cover &#8216;larger and larger&#8217; patches of the plane. This is intended to mean that the tile can cover as large a patch as desired, or that there is no limit to the size of a patch covered by the tile. One might ask if there is some patch size that is always large enough. As an example for thought, the tile shown below is a hexagon with one flat side, two spiked sides, and three dents. The spikes fit into the dents, and for a while this tile can build a tessellation, but eventually the dents outnumber the spikes and one gets stuck &#8211; Amman&#8217;s dented hexagon cannot tile the plane, even though it can tile a fairly large patch: <span style=\"color: #0000ff\">(<a style=\"color: #0000ff\" href=\"http:\/\/mathstat.slu.edu\/escher\/index.php\/Aperiodic_Tessellations\">*To read more from this sitehttp:\/\/mathstat.slu.edu Please CLICK HERE<\/a>)<\/span><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p>How to Draw Islamic Geometric Patterns<\/p>\n<p><iframe title=\"HOW to Draw Islamic Geometric Patterns \u2738  8 Fold Rozette Tiling\" width=\"956\" height=\"538\" src=\"https:\/\/www.youtube.com\/embed\/ILD0Hvf5Xbo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<blockquote>\n<h2><span id=\"Science_and_mathematics\" class=\"mw-headline\">Science and mathematics<\/span><\/h2>\n<div class=\"thumb tright\">\n<div class=\"thumbinner\">\n<p>&nbsp;<\/p>\n<div class=\"thumbcaption\">\n<div class=\"magnify\">\n<div id=\"attachment_14627\" style=\"width: 343px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14627\" class=\"wp-image-14627 size-full\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained.png\" alt=\"fractal_fern_explained\" width=\"333\" height=\"465\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained.png 333w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained-107x150.png 107w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained-215x300.png 215w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained-260x363.png 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Fractal_fern_explained-160x223.png 160w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><p id=\"caption-attachment-14627\" class=\"wp-caption-text\">Image source wikapedia<\/p><\/div>\n<\/div>\n<p>Fractal model of a fern illustrating <a class=\"mw-redirect\" title=\"Self-similar\" href=\"https:\/\/en.wikipedia.org\/wiki\/Self-similar\">self-similarity<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><a title=\"Mathematics\" href=\"https:\/\/en.wikipedia.org\/wiki\/Mathematics\">Mathematics<\/a> is sometimes called the &#8220;Science of Pattern&#8221;, in the sense of rules that can be applied wherever needed.<sup id=\"cite_ref-24\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-24\">[23]<\/a><\/sup> For example, any <a title=\"Sequence\" href=\"https:\/\/en.wikipedia.org\/wiki\/Sequence\">sequence<\/a> of numbers that may be modeled by a mathematical function can be considered a pattern. Mathematics can be taught as a collection of patterns.<sup id=\"cite_ref-25\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-25\">[24]<\/a>\u00a0\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/sup><\/p><\/blockquote>\n<h2><\/h2>\n<h2>Waves and Dunes<\/h2>\n<div id=\"attachment_14619\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14619\" class=\"size-full wp-image-14619\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/giphy.gif\" alt=\"Image source http:\/\/giphy.com\/\" width=\"300\" height=\"225\" \/><p id=\"caption-attachment-14619\" class=\"wp-caption-text\">Image source http:\/\/giphy.com\/<\/p><\/div>\n<p><span style=\"color: #800000\">I have to admit that my fascination and captivation with <a style=\"color: #800000\" href=\"https:\/\/www.youtube.com\/watch?v=_fGYOrWvwII\" target=\"_blank\" rel=\"noopener noreferrer\">beaches<\/a>, the place where\u00a0liquids and solids meet. \u00a0Ocean wave, the result of wind and the moon&#8217;s gravitational pull on the earth, and the Dunes the result of the winds.<\/span><\/p>\n<div id=\"attachment_14620\" style=\"width: 330px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14620\" class=\"size-full wp-image-14620\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/giphy-1.gif\" alt=\"Image source http:\/\/giphy.com\/\" width=\"320\" height=\"240\" \/><p id=\"caption-attachment-14620\" class=\"wp-caption-text\">Image source http:\/\/giphy.com\/<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>Yet,<\/p>\n<blockquote><p>Sand dunes are ubiquitous, sometimes problematic features of deserts and coastlines. Their undulations call to mind ripples on water, but dunes and water waves differ in crucial ways. In particular, whereas \u201ctraveling\u201d water waves are largely illusory, a product of motion that is essentially up and down, the advance of sand dunes really does involve material transport: Individual grains of sand are blown by the wind along nearly horizontal trajectories, as anyone whose face has been sandblasted at the beach on a breezy day will know. Errant dunes have been known to block roads and overrun buildings.<\/p><\/blockquote>\n<blockquote>\n<div id=\"attachment_14621\" style=\"width: 677px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14621\" class=\"size-full wp-image-14621\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes.jpg\" alt=\"Image source http:\/\/www.whydomath.org\/Reading_Room_Material\/siamnews\/sn11_2007.html\" width=\"667\" height=\"561\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes.jpg 667w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes-150x126.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes-300x252.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes-560x471.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes-260x219.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/dunes-160x135.jpg 160w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><p id=\"caption-attachment-14621\" class=\"wp-caption-text\">Image source http:\/\/www.whydomath.org\/Reading_Room_Material\/siamnews\/sn11_2007.html.<\/p><\/div>\n<p style=\"text-align: center\"><strong>Figure 1.<em> Anatomy of a dune. Forces exerted by wind, gravity, and friction determine the<br \/>\nshape of a barchan. Figure courtesy of Hans Herrmann.<\/em><\/strong><\/p>\n<\/blockquote>\n<p style=\"text-align: left\">(*<a href=\"http:\/\/www.whydomath.org\/Reading_Room_Material\/siamnews\/sn11_2007.html\">For more information Please see\u00a0Barry A. Cipra&#8217;s article on\u00a0<strong>Dune Dynamics- CLICK HERE<\/strong><\/a>)<\/p>\n<p style=\"text-align: left\"><span style=\"color: #800000\">Did you know that waves don&#8217;t actually travel from great distances to the beach&#8230; no,\u00a0its more about a transference of energy through water then the movement of water from place to place.<\/span><\/p>\n<div id=\"attachment_14850\" style=\"width: 410px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14850\" class=\"size-full wp-image-14850\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v.jpg\" alt=\"\" width=\"400\" height=\"319\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v.jpg 400w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v-150x120.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v-300x239.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v-260x207.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/FX_YOeezIaHf1t7v-160x128.jpg 160w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><p id=\"caption-attachment-14850\" class=\"wp-caption-text\">Image source http:\/\/www.silvasurflessons.com\/what-are-waves\/<\/p><\/div>\n<p>&nbsp;<\/p>\n<div id=\"attachment_14630\" style=\"width: 628px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14630\" class=\"wp-image-14630\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0.jpg\" alt=\"Artist Franci Bacon. Image source http:\/\/www.tate.org.uk\/\" width=\"618\" height=\"839\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0.jpg 973w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-111x150.jpg 111w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-221x300.jpg 221w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-768x1042.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-755x1024.jpg 755w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-560x760.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-260x353.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/francis-bacon-sand-dune-tp17-limited_0-160x217.jpg 160w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><p id=\"caption-attachment-14630\" class=\"wp-caption-text\">Artist Franci Bacon, Sand Dune.\u00a0Image source http:\/\/www.tate.org.uk\/<\/p><\/div>\n<p>&nbsp;<\/p>\n<div id=\"attachment_14631\" style=\"width: 630px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14631\" class=\" wp-image-14631\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-3.jpeg\" alt=\"Close Katsushika Hokusai, 'The Great Wave off Kanagawa' Image source http:\/\/www.vam.ac.uk\" width=\"620\" height=\"424\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-3.jpeg 272w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-3-150x103.jpeg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-3-260x178.jpeg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/images-3-160x109.jpeg 160w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><p id=\"caption-attachment-14631\" class=\"wp-caption-text\">Close<br \/>Katsushika Hokusai, &#8216;The Great Wave off Kanagawa&#8217; Image source http:\/\/www.vam.ac.uk<\/p><\/div>\n<h2>Sign waves<\/h2>\n<p>This tool will let you <span style=\"color: #800000\"><strong>HEAR<\/strong><\/span> different Frequencies. \u00a0 <a href=\"http:\/\/www.szynalski.com\/tone-generator\/\">Click here to go to an online Tone generator.<\/a><\/p>\n<div id=\"attachment_14615\" style=\"width: 410px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14615\" class=\"size-full wp-image-14615\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/Wave_frequency.gif\" alt=\"Image source https:\/\/en.wikipedia.org\/wiki\/Hertz\" width=\"400\" height=\"200\" \/><p id=\"caption-attachment-14615\" class=\"wp-caption-text\">Image source https:\/\/en.wikipedia.org\/wiki\/Hertz<\/p><\/div>\n<h2>Virtual Oscilloscope<\/h2>\n<p><span style=\"color: #800000\">This tool will let you <strong>SEE<\/strong> different Frequencies. <a style=\"color: #800000\" href=\"https:\/\/academo.org\/demos\/virtual-oscilloscope\/\">Click here to go to a Virtual Oscilloscope<\/a><\/span><\/p>\n<h2>Spectrum Analyzer<\/h2>\n<hr \/>\n<p class=\"blurb\"><span style=\"color: #800000\">This audio spectrum analyser (<em>a device for analysing a system of oscillations, especially sound, into its separate components<\/em>) enables you to <strong>SEE<\/strong> the frequencies present in audio recordings which you can <strong>HEAR<\/strong> at the same time.<\/span><\/p>\n<p class=\"blurb\"><span style=\"color: #800000\"><a style=\"color: #800000\" href=\"https:\/\/academo.org\/demos\/spectrum-analyzer\/\">Click here to go to an online audio spectrum analyser<\/a><\/span><\/p>\n<hr \/>\n<p>The spectrum analyser above gives us a graph of all the frequencies that are present in a sound recording at a given time. The resulting graph is known as a spectrogram. The darker areas are those where the frequencies have very low intensities, and the orange and yellow areas represent frequencies that have high intensities in the sound. You can toggle between a linear or logarithmic frequency scale by ticking or unticking the logarithmic frequency checkbox.<\/p>\n<p>In many ways, this demo is similar to the <a href=\"https:\/\/academo.org\/demos\/virtual-oscilloscope\/\">Virtual Oscilloscope demo<\/a>, but there is a crucial and very important difference. In the oscilloscope demo, the plot shows the <em>displacement<\/em> of an audio signal versus the time, which is called the time-domain signal. <em>This<\/em> demo shows the signal represented in a different way: the frequency domain. The frequency spectrum is generated by applying a Fourier transform to the time-domain signal.(Text source\u00a0https:\/\/academo.org\/demos\/spectrum-analyzer\/)<\/p>\n<p><span style=\"color: #800000\">Is there a pattern to a bird&#8217;s song?<\/span><\/p>\n<p>(<a href=\"http:\/\/users.rowan.edu\/~shreek\/networks1\/music.html\">*For anyone interested in Music and the frequencies of different notes click HERE<\/a>)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div id=\"attachment_14595\" style=\"width: 539px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14595\" class=\"wp-image-14595\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/mandelbrot_zoom_in_gif_by_zygzwurx-d4esnmj.gif\" alt=\"Image sourse\" width=\"529\" height=\"397\" \/><p id=\"caption-attachment-14595\" class=\"wp-caption-text\">Image source https:\/\/upload.wikimedia.org\/wikipedia\/commons\/a\/a4\/Mandelbrot_sequence_new.gif<\/p><\/div>\n<blockquote>\n<h3><span id=\"Fractals\" class=\"mw-headline\">Fractals<\/span><\/h3>\n<p>Some mathematical rule-patterns can be visualized, and among these are those that explain <a title=\"Patterns in nature\" href=\"https:\/\/en.wikipedia.org\/wiki\/Patterns_in_nature\">patterns in nature<\/a> including the mathematics of symmetry, waves, meanders, and fractals. <a title=\"Fractal\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fractal\">Fractals<\/a> are mathematical patterns that are scale invariant. This means that the shape of the pattern does not depend on how closely you look at it. Self-similarity is found in fractals. Examples of natural fractals are coast lines and tree shapes, which repeat their shape regardless of what magnification you view at. While self-similar patterns can appear indefinitely complex, the rules needed to describe or produce their <a title=\"Pattern formation\" href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern_formation\">formation<\/a> can be simple (e.g. <a class=\"mw-redirect\" title=\"Lindenmayer system\" href=\"https:\/\/en.wikipedia.org\/wiki\/Lindenmayer_system\">Lindenmayer systems<\/a>describing <a title=\"Tree\" href=\"https:\/\/en.wikipedia.org\/wiki\/Tree\">tree<\/a> shapes).<sup id=\"cite_ref-Mandelbrot1983_26-0\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-Mandelbrot1983-26\">[25]<\/a><\/sup><\/p>\n<p>In <a title=\"Pattern theory\" href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern_theory\">pattern theory<\/a>, devised by <a title=\"Ulf Grenander\" href=\"https:\/\/en.wikipedia.org\/wiki\/Ulf_Grenander\">Ulf Grenander<\/a>, mathematicians attempt to describe the world in terms of patterns. The goal is to lay out the world in a more computationally friendly manner.<sup id=\"cite_ref-27\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-27\">[26]<\/a><\/sup><\/p>\n<p>In the broadest sense, any regularity that can be explained by a scientific theory is a pattern. As in mathematics, science can be taught as a set of patterns.<sup id=\"cite_ref-28\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-28\">[27]<\/a>\u00a0(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/sup><\/p><\/blockquote>\n<p><span style=\"color: #0000ff\">(If you want to play with an online fractal generator <a style=\"color: #0000ff\" href=\"https:\/\/sciencevsmagic.net\/fractal\/#0305,0111,2,1,0,0,2\">CLICK HERE<\/a>)<\/span><\/p>\n<blockquote>\n<h2><span id=\"Computer_science\" class=\"mw-headline\">Computer science<\/span><\/h2>\n<p>In computer science, a <a title=\"Software design pattern\" href=\"https:\/\/en.wikipedia.org\/wiki\/Software_design_pattern\">software design pattern<\/a>, in the sense of a <a title=\"Template method pattern\" href=\"https:\/\/en.wikipedia.org\/wiki\/Template_method_pattern\">template<\/a>, is a general solution to a problem in programming. A design pattern provides a reusable architectural outline that may speed the development of many computer programs.<sup id=\"cite_ref-29\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pattern#cite_note-29\">[28]<\/a><\/sup><\/p>\n<p>(Text source https:\/\/en.wikipedia.org\/wiki\/Pattern)<\/p><\/blockquote>\n<div class=\"thumb tright\">\n<p><span style=\"color: #800000\">Anther aspect of patterns in Computers science is that advent of Binary, Early counting devices and Memory storage devices. \u00a0Here is an interesting article:<\/span><\/p>\n<h3 class=\"headline hover-highlight entry-title js_entry-title\"><a href=\"http:\/\/io9.com\/the-history-of-early-computing-machines-from-ancient-t-549202742\">The History of Early Computing Machines, from Ancient Times to 1981<\/a><\/h3>\n<div id=\"attachment_14603\" style=\"width: 1476px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14603\" class=\"size-full wp-image-14603\" src=\"http:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard.jpg\" alt=\"Image source blog.joehuffman.org\" width=\"1466\" height=\"647\" srcset=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard.jpg 1466w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-150x66.jpg 150w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-300x132.jpg 300w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-768x339.jpg 768w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-1024x452.jpg 1024w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-560x247.jpg 560w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-260x115.jpg 260w, https:\/\/blogs.vsb.bc.ca\/dkeller\/files\/2016\/09\/PunchedCard-160x71.jpg 160w\" sizes=\"(max-width: 1466px) 100vw, 1466px\" \/><p id=\"caption-attachment-14603\" class=\"wp-caption-text\">Image source blog.joehuffman.org<\/p><\/div>\n<\/div>\n<div>\u00a0If you like history and hoe computer memory was developed, then this next video might be for you<\/div>\n<div><\/div>\n<div>\n<p><iframe title=\"World&#039;s First RAM Chip (Memory Plane)\" width=\"956\" height=\"538\" src=\"https:\/\/www.youtube.com\/embed\/9e2SL56FSAw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div>\n<div><span style=\"color: #800000\">I have to say:<\/span><\/div>\n<div><span style=\"color: #800000\">\u00a0<\/span><\/div>\n<div><span style=\"color: #800000\">01010111011001010010000001101000011101010110110101100001011011100111001100100000011011000110100101110110011001010010000001101001011011100010000001101111011101010111001000100000011000100111001001100001011010010110111001110011001000000111000001100101011100100110001101100101011010010111011001101001011011100110011100100000011101000110100001100101001000000111000001100001011101000111010001100101011100100110111001110011001000000110000101110010011011110111010101101110011001000010000001110101011100110010000001110100011010000111001001101111011101010110011101101000001000000110111101110101011100100010000001110011011001010110111001110011011001010111001100101110001000000010000001001001011101000010000001101001011100110010000001101001011011010111000001101111011100100111010001100001011011100111010000100000011101000110111100100000011101010110111001100100011001010111001001110011011101000110000101101110011001000010000001110100011010000110000101110100001000000111011101100101001000000110110101100001011110010010000001101110011011110111010000100000011000010110110001110111011000010111100101110011001000000110100101101110011101000110010101110010011100000111001001100101011101000010000001110100011010000110010100100000011001000110000101110100011000010010000001100011011011110111001001110010011001010110001101110100011011000111100100101110001000000010000000100000010010000110100101110011011101000110111101110010011110010010000001101001011100110010000001100110011101010110110001101100001000000110111101100110001000000111001101100011011010010110010101101110011101000110100101110011011101000111001100100000011101110110100001101111001000000110100001100001011101100110010100100000011011010110100101110011011010010110111001110100011001010111001001110000011100100110010101110100011001010110010000100000011001000110000101110100011000010010000001100001011011100110010000100000011100110110010101101110011101000010000001101000011101010110110101100001011011100110100101110100011110010010000001100100011011110111011101101110001000000111010001101000011001010010000001110010011000010110001001100010011010010111010000100000011010000110111101101100011001010010111000100000001000000101100101100101011101000010000001001001001000000110010001101001011001110111001001100101011100110111001100101110<\/span><\/div>\n<div><span style=\"color: #800000\">\u00a0<\/span><\/div>\n<div><span style=\"color: #800000\">010000010111001001100101001000000111100101101111011101010010000001110010011001010110000101100100011110010010000001110100011011110010000001110011011101000110000101110010011101000010000001101101011000010110101101101001011011100110011100100000011100000110000101110100011101000110010101110010011011100111001100111111<\/span><\/div>\n<div><span style=\"color: #800000\">\u00a0<\/span><\/div>\n<div><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.roubaixinteractive.com\/PlayGround\/Binary_Conversion\/Binary_To_Text.asp\">(&#8230; CLICK HERE to convert)<\/a><\/span><\/div>\n<div><\/div>\n<div><span style=\"color: #800000\">Ya, I know I&#8217;m getting a bit weird at this point&#8230;<\/span><\/div>\n<hr \/>\n<h2><strong>Articles about Patterns and the world we live in:<\/strong><\/h2>\n<p><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.whydomath.org\/Reading_Room_Material\/siamnews\/sn5_2002new.html\"><strong>Pattern Recognition and Gene Expression<\/strong><\/a><\/span><\/p>\n<p><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.whydomath.org\/Reading_Room_Material\/cipra\/cipra239.html\"><strong>Fighting Fire with Data<\/strong><\/a><\/span><\/p>\n<p class=\"entry-title\"><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/www.mentalhelp.net\/blogs\/pattern-recognition-a-key-to-success-in-doing-anything-well\/\"><strong>Pattern Recognition: A Key to Success in Doing Anything Well<\/strong><\/a><\/span><\/p>\n<h2><strong>Task:<\/strong><\/h2>\n<p><span style=\"color: #800000\">I would like you to think about an area of life that captivates you. \u00a0Then develop pattern paintings that speak to that area in the way the colour and patterns are designed.<\/span><\/p>\n<p><span style=\"color: #800000\">Please use\u00a0the following colour theories:<\/span><\/p>\n<ol>\n<li><span style=\"color: #800000\">Intermediate \u00a0or\u00a0<\/span><span style=\"color: #800000\">Tertiary<\/span><\/li>\n<li><span style=\"color: #800000\">Secondary<\/span><\/li>\n<li><span style=\"color: #800000\">Complimentary<\/span><\/li>\n<li><span style=\"color: #800000\">Split Complimentary<\/span><\/li>\n<li><span style=\"color: #800000\">Double split complementary<\/span><\/li>\n<li><span style=\"color: #800000\">Analogous (Warm or cool)<\/span><\/li>\n<li><span style=\"color: #800000\">Monochromatic<\/span><\/li>\n<\/ol>\n<p><span style=\"color: #800000\"><strong><em>*The style or look of that patterns is up to you. \u00a0After seeing all the images\u00a0above I am hoping you have some ideas!!! \u00a0<\/em><\/strong><\/span><\/p>\n<p><span style=\"color: #800000\"><strong><em>**Please note that some of the images are not really of patterns although they have patterns in them, and in this project, I am really liking for you to develop patterns.<\/em><\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"color: #800000\">Marking criteria<\/span><\/h2>\n<p><span style=\"color: #800000\">As discussed in class your painting will be marked on:<\/span><\/p>\n<ul>\n<li><span style=\"color: #800000\">Completion or all 6<\/span><\/li>\n<li><span style=\"color: #800000\">Having an Idea based in content for each patern- content can me anything as long as you define it!<\/span><br \/>\n<span style=\"color: #800000\"> Having 8\u00a0different colour theories<\/span><\/li>\n<li><span style=\"color: #800000\">No smaller than 3&#215;3&#8243;<\/span><\/li>\n<li><span style=\"color: #800000\">No bigger that 6&#215;6&#8243;<\/span><\/li>\n<li><span style=\"color: #800000\">Complexity<\/span><\/li>\n<li><span style=\"color: #800000\">Application of paint<\/span><\/li>\n<li><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; ***Please note that it will be most advantageous\u00a0if you have a firm understanding of Colour before you begin this project. \u00a0 Intro to Colour Project ***Please, please, note that the following unity is meant as the backdrop to a&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/blogs.vsb.bc.ca\/dkeller\/pattern-painting-project\/\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":20,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-13578","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/pages\/13578","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/comments?post=13578"}],"version-history":[{"count":62,"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/pages\/13578\/revisions"}],"predecessor-version":[{"id":17532,"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/pages\/13578\/revisions\/17532"}],"wp:attachment":[{"href":"https:\/\/blogs.vsb.bc.ca\/dkeller\/wp-json\/wp\/v2\/media?parent=13578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}