plane colouring
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enFolding the future: From origami to engineering
http://plus.maths.org/content/folding-future
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Kim Krieger </div>
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<p>Remember how hard it was to fold maps? Mathematicians have struggled with map folding problems for ages but a recent insight suggests there might be another way to approach them, making an unlikely connection between combinatorics, origami and engineering.</p>
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<div class="rightimage" style="width: 350px;"><img src="/sites/plus.maths.org/files/articles/2013/Origami/map.jpg" alt="Miura fold" width="350" height="232" />
<p>Old-fashioned navigation aid.</p><div class="field field-type-number-integer field-field-hidden">
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<p><a href="http://plus.maths.org/content/folding-future" target="_blank">read more</a></p>http://plus.maths.org/content/folding-future#commentscolouringengineeringorigamiplane colouringstatistical mechanicsWed, 22 May 2013 14:34:18 +0000mf3445897 at http://plus.maths.org/contentMathematical mysteries: Painting the Plane
http://plus.maths.org/content/mathematical-mysteries-painting-plane
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Helen Joyce </div>
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<p>Suppose you have an infinitely large sheet of paper (mathematicians refer to this hypothetical object as the plane). You also have a number of different colours - pots of paint, perhaps. Your aim is to colour every point on the plane using the colours available. That is, each point must be assigned one colour.</p>
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<div class="pub_date">May 2001</div>
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<p>Suppose you have an infinitely large sheet of paper (mathematicians refer to this hypothetical object as the <i>plane</i>). You also have a number of different colours - pots of paint, perhaps. Your aim is to colour every point on the plane using the colours available. That is, each point must be assigned one colour.</p>
<p>Can you do this so that, for any two points on the plane which are exactly 1cm apart, they are given different colours?</p><p><a href="http://plus.maths.org/content/mathematical-mysteries-painting-plane" target="_blank">read more</a></p>http://plus.maths.org/content/mathematical-mysteries-painting-plane#comments15Mathematical mysteriesplane colouringRamsey theoryMon, 30 Apr 2001 23:00:00 +0000plusadmin4750 at http://plus.maths.org/content