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#geogebra

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foldworks<p>A Geogebra generalisation of Star 8 Octad modular @origami <a href="https://www.geogebra.org/m/mv6gxxbu" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">geogebra.org/m/mv6gxxbu</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/origami" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>origami</span></a></p>
foldworks<p><span class="h-card" translate="no"><a href="https://mastodon.social/@wtrmt" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>wtrmt</span></a></span> I quite like the overlapping 😀 Here's the Geogebra file if you want to play / edit 🛠️ <a href="https://www.geogebra.org/m/qg7qpfmt" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">geogebra.org/m/qg7qpfmt</span><span class="invisible"></span></a> </p><p><a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a></p>
foldworks<p>And squares whose sides decrease by the plastic ratio (about 1.324). At one moment the spiral of five squares make one full turn.<br><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GoldenRatio</span></a> <a href="https://mathstodon.xyz/tags/PlasticRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PlasticRatio</span></a></p>
foldworks<p>Now for equilateral triangles whose sides decrease by the plastic ratio (about 1.324). A slow version so that the plastic pentagon is clearer <a href="https://en.wikipedia.org/wiki/Plastic_ratio#Plastic_pentagon" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Plastic_</span><span class="invisible">ratio#Plastic_pentagon</span></a></p><p>The plastic ratio is probably not as well-known as the golden and silver (√2) ratios?</p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GoldenRatio</span></a></p>
foldworks<p>Now squares increasing by the golden ratio</p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GoldenRatio</span></a></p>
foldworks<p>Looping animation of silver rectangles with sides decreasing by 1/√2.</p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>Looping animation of squares with sides decreasing by golden ratio.</p><p>h/t <a href="https://youtube.com/shorts/VloYWtLJ2KM" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">youtube.com/shorts/VloYWtLJ2KM</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GoldenRatio</span></a></p>
Jean-Baptiste Etienne<p><a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> destruction :)</p><p><a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TilingTuesday</span></a> <a href="https://mathstodon.xyz/tags/rotation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>rotation</span></a> <a href="https://mathstodon.xyz/tags/translate" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>translate</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a></p>
foldworks<p><span class="h-card" translate="no"><a href="https://mastodon.art/@MashedMen" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>MashedMen</span></a></span> Thanks, I was going to do more but the existing construction does not generalise well. Here are the key shapes for twelve-pointed stars. </p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>This one has regular octagons and rhombuses.<br><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>This animation has two different kinds of white shape. Curiously, I made this before the ones with only one kind of white shape. This one has two sizes of squares.<br><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>Eight- and four-pointed stars using different angles.<br><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>No scrolling needed for eight- and four-pointed stars like this classic stars and crosses pattern.</p><p><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
foldworks<p>And a generalisation that needed more to work to do.<br><a href="https://mathstodon.xyz/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>animation</span></a> <a href="https://mathstodon.xyz/tags/loop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>loop</span></a> <a href="https://mathstodon.xyz/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://mathstodon.xyz/tags/IslamicPattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IslamicPattern</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pattern</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a></p>
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