<p><div><div><div><div data-show-faces="false" data-height="21" data-width="100" data-layout="button_count" data-send="true" data-href="https://www.r-bloggers.com/mandalas-colored/"></div></div><div></div></div><div></div></div>
<div>
(This article was first published on <strong><a href="https://fronkonstin.com/2018/03/11/mandalas-colored/"> R – Fronkonstin</a></strong>, and kindly contributed to <a rel="nofollow" href="https://www.r-bloggers.com/">R-bloggers)</a> </div>
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<blockquote>
<p><em>Apriétame bien la mano, que un lucero se me escapa entre los dedos (Coda Flamenca, Extremoduro)</em></p>
</blockquote>
<p>I have the privilege of being teacher at <a rel="nofollow" href="http://www.estalmat.org/" target="_blank">ESTALMAT</a>, a project run by Spanish Royal Academy of Sciences that tries to detect, guide and stimulate in a continuous way, along two courses, the exceptional mathematical talent of students of 12-13 years old. Some weeks ago I gave a class there about the importance of programming. I tried to convince them that learning R or Python is a good <em>investment</em> that always pays off; It will make them enjoy more of mathematics as well as to see things with their own eyes. The main part of my class was a workshop about Voronoi tesselations in R. We started drawing points on a circle and we finished drawing mandalas like <a rel="nofollow" href="https://fronkonstin.com/2018/02/14/mandalas/" target="_blank">these ones</a>. You can find the details of the workshop <a rel="nofollow" href="https://bitbucket.org/aschinchon/estalmat_0218" target="_blank">here</a> (in Spanish). It was a wonderful experience to see the faces of the students while generating their own mandalas.</p>
<p>In that case all mandalas were empty, ready to be printed and coloured as my 7 years old daughter does. In this experiment I colour them. These are the changes I have done to my  previous code:</p>
<ul>
<li>Remove external segments which intersects the boundary of the enclosing<br>
rectangle</li>
<li>Convert the tesselation into a list of polygons with <code>tile.list</code> function</li>
<li>Use <code>colourlovers</code> package to fill the polygons with beautiful colour palettes</li>
</ul>
<p>This is an example of the result:</p>
<p><img data-orig-file="https://i2.wp.com/fronkonstin.com/wp-content/uploads/2018/03/IMG00.png?fit=3000%2C3000&amp;ssl=1" data-orig-size="3000,3000" data-medium-file="https://i2.wp.com/fronkonstin.com/wp-content/uploads/2018/03/IMG00.png?fit=300%2C300&amp;ssl=1" data-attachment-id="4436" data-image-meta="{" data-image-description="" src="https://i2.wp.com/fronkonstin.com/wp-content/uploads/2018/03/IMG00.png?resize=604%2C604&ssl=1" data-permalink="https://fronkonstin.com/2018/03/11/mandalas-colored/img00/" data-large-file="https://i2.wp.com/fronkonstin.com/wp-content/uploads/2018/03/IMG00.png?fit=604%2C604&amp;ssl=1" alt="" data-image-title="IMG00" sizes="(max-width: 604px) 100vw, 604px" width="450" data-comments-opened="1" class="wp-image-4436" data-recalc-dims="1"><br>
Changing three simple parameters (<code>iter</code>, <code>points</code> and <code>radius</code>) you can obtain completely different images (clicking on any image you can see its <em>full size version</em>):</p>
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<p>You can find details of these parameters <a rel="nofollow" href="https://fronkonstin.com/2018/02/14/mandalas/" target="_blank">in my previous post</a>. I cannot resist to place more examples:</p>
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<p>You can find the code <a rel="nofollow" href="https://github.com/aschinchon/mandalas-colored" target="_blank">here</a>. Enjoy.</p>
	<p>
<div>
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