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RasmusMonohedral triangle tiling of the gyroid, which is the dual tessellation of a partial Cayley surface complex of the group: ``` G = ⟨ f₁,t₁ | f₁², t₁⁶, (f₁t₁)⁴, (f₁t₁f₁t₁⁻¹f₁t₁²)² ⟩ ```Ball of radius 21. (1/2)<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/3d" class="mention hashtag" rel="nofollow noopener" target="_blank">#3d</a>

RasmusModule that can be used to create the structure. (2/2)<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/3d" class="mention hashtag" rel="nofollow noopener" target="_blank">#3d</a>

Bojidar Marinov<a href="https://editor.p5js.org/bojidar-bg/full/vZRBxs5PO" rel="nofollow noopener" translate="no" target="_blank">https://editor.p5js.org/bojidar-bg/full/vZRBxs5PO</a><a href="https://mastodon.social/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mastodon.social/tags/p5js" class="mention hashtag" rel="nofollow noopener" target="_blank">#p5js</a> <a href="https://mastodon.social/tags/hexagons" class="mention hashtag" rel="nofollow noopener" target="_blank">#hexagons</a>

Laurent Malys⋈ Bow ties hexagonal weavingmade with <a href="https://framapiaf.org/tags/p5js" class="mention hashtag" rel="nofollow noopener" target="_blank">#p5js</a> <a href="https://framapiaf.org/tags/creativecoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#creativecoding</a> <a href="https://framapiaf.org/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://framapiaf.org/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://framapiaf.org/tags/tessellation" class="mention hashtag" rel="nofollow noopener" target="_blank">#tessellation</a> <a href="https://framapiaf.org/tags/art" class="mention hashtag" rel="nofollow noopener" target="_blank">#art</a>

foldworksBase of a Celtic cross (c. 1890), Glasnevin Cemetery (Irish: Reilig Ghlas Naíon), Dublin, Ireland<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#design</a> <a href="https://mathstodon.xyz/tags/celtic" class="mention hashtag" rel="nofollow noopener" target="_blank">#celtic</a> <a href="https://mathstodon.xyz/tags/CelticCross" class="mention hashtag" rel="nofollow noopener" target="_blank">#CelticCross</a> <a href="https://mathstodon.xyz/tags/triskelion" class="mention hashtag" rel="nofollow noopener" target="_blank">#triskelion</a> <a href="https://mathstodon.xyz/tags/spiral" class="mention hashtag" rel="nofollow noopener" target="_blank">#spiral</a>

TimemiTUltrafractal ducks and stats<a href="https://mastodon.scot/tags/tilingtuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#tilingtuesday</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂4d shapes 9d colors 😳<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/4d" class="mention hashtag" rel="nofollow noopener" target="_blank">#4d</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/animation" class="mention hashtag" rel="nofollow noopener" target="_blank">#animation</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener" target="_blank">#abstract</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener" target="_blank">#mastoart</a>

RasmusThe hexagonal tile is of course slightly skewed. (2/3) <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a>

RasmusThe tiling can be divided down into different modules of higher genus. One can be seen below. (2/3) <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a>

RasmusMonohedral Hexagonal Tiling of infinite stacked surface with triangular, hexagonal and rhombic channels. (1/3) <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a>

Bojidar MarinovI heard people like animated checkerboards, so I made one 😇 <a href="https://editor.p5js.org/bojidar-bg/full/j3T6PwfH1" rel="nofollow noopener" translate="no" target="_blank">https://editor.p5js.org/bojidar-bg/full/j3T6PwfH1</a><a href="https://mastodon.social/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mastodon.social/tags/p5js" class="mention hashtag" rel="nofollow noopener" target="_blank">#p5js</a>

n-gonsWow, check all the beautiful stuff posted for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> - none from me this time, I’m on summer break:)

foldworksUlugh Beg Observatory Museum, Samarkand, Uzbekistan<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener" target="_blank">#architecture</a> <a href="https://mathstodon.xyz/tags/history" class="mention hashtag" rel="nofollow noopener" target="_blank">#history</a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#design</a>

Non-Euclidean DreamerHappy <a href="https://mathstodon.xyz/tags/tilingtuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#tilingtuesday</a> to all who celebrate!here we have a batch of a triangle Tiling in Nilgeometry, all edges are geodesics and the same length, growing throughout the video.One edge of each triangle is vertical. we look at the structure horizontally from a fixed distance.in Nilgeometry 3 points do not generally define a plane (a totally geodesic subspace) so there is no intrinsic way to think of the Triangles as surfaces.

Adam P<a href="https://mastodon.r-flash.eu/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a>

Malwen<a href="https://toot.wales/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> Created in <a href="https://toot.wales/tags/OneLab" class="mention hashtag" rel="nofollow noopener" target="_blank">#OneLab</a>

Bojidar Marinov<a href="https://mastodon.social/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a>

foldworksCarved stone screen, Agra, India, 19th century, copied from earlier models, Victoria and Albert Museum, London<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#design</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener" target="_blank">#architecture</a>

Rasmus(5/n) <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a>

Σ(i³) = (Σi)²Same as last week, but with slightly tweaked parameters <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener" target="_blank">#TilingTuesday</a>

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