Shakedown Social

This Is My GlasgowLove this beautiful Art Nouveau style tenement tile pattern, featuring Scottish Bluebells. It's from a tenement close in the Pollokshields area of Glasgow.<a href="https://mastodon.scot/tags/glasgow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#glasgow</a> <a href="https://mastodon.scot/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mastodon.scot/tags/scottishbluebells" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#scottishbluebells</a> <a href="https://mastodon.scot/tags/tiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiles</a> <a href="https://mastodon.scot/tags/tenementtiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tenementtiles</a> <a href="https://mastodon.scot/tags/ceramics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ceramics</a> <a href="https://mastodon.scot/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.scot/tags/artnouveau" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#artnouveau</a> <a href="https://mastodon.scot/tags/bluebells" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#bluebells</a>

n-gonsSierpinski Pyramid Tiling for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> This kind of pyramid is a quarter of a cube.<a href="https://mathstodon.xyz/tags/Voxel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Voxel</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fractal</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂⭕'དཔལ་བེའུ།*16 🥨 (I'm like 90% sure ðe orange bit forms a single loop)<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/pixelart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pixelart</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a>

foldworksStreet decoration featuring eight-pointed stars, Buôn Ma Thuột, Vietnam <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/Pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Pattern</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/MathsArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathsArt</a>

Dani Laura (they/she/he)I have found a novel family of rep-tiles which produce aperiodic tilings. The prototile is a triangle with smallest side 1 and biggest side 2, the other side is 1 < x <= 2. The family includes one pointed isosceles triangle, the right triangle of angles 30-60-90 (half an equilateral triangle), and other scalene, obtuse or acute, triangles. The first image shows relevant members of the family, the second the substitution rule. The isosceles triangle of the family has another already known aperiodic tiling ( <a href="https://tilings.math.uni-bielefeld.de/substitution/viper/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://tilings.math.uni-bielefeld.de/substitution/viper/</a> ) which looks the same but is different because there the tile has no reflections, whereas here some tiles are reflected (in the case of the isosceles triangle the reflection makes a difference when applying the substitution). Figure 3 shows the difference between that tessellation and the one proposed here, mine has just four slopes. Last figure shows a zoom into one big instance of the tiling for the right triangle. <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathart</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂traitoR<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/vibes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#vibes</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mastoart</a>

foldworksWindow, County Hall, Preston, Lancashire, England <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pattern</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mathstodon.xyz/tags/window" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#window</a>

n-gonsA square decomposed into triangles, squares and crowns for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a><a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a>

Dani Laura (they/she/he)Untidy tessellation with one fifth of a pentagon. <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a>

foldworksTiled entrance to a “buzzy gathering place” (eatery) in Lancaster, England. <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pattern</a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#design</a>

n-gons<a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> Snub Flower Tiling RevisitedI found a beautiful egg shape hidden in my previous design.Also note: Today, new versions of the mac apps I use for most of my tiling designs are released!! That is <a href="https://mastodon.cc/@zellige" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@zellige</a>, which I used for the egg, as well as <a href="https://mastodon.social/@girih" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@girih</a> (for equilateral shapes), thank you Stefan!<a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Egg" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Egg</a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a>

n-gonsSnub Flower TilingIf you look careful you can see the snub square tiling and its cairo cousin hiding in the geometry.<a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a>

꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂<a href="https://mastodon.gamedev.place/tags/4d" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#4d</a> cartesian product of 2 of ðese fancy pentagonal tilings + 🔄2d✝️sections = 🤔🤔🤔<a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mastodon.gamedev.place/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mastoart</a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#abstract</a> <a href="https://mastodon.gamedev.place/tags/monochrome" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#monochrome</a> <a href="https://mastodon.gamedev.place/tags/animation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#animation</a> <a href="https://mastodon.gamedev.place/tags/creativecoding" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#creativecoding</a>

n-gonsA <a href="https://mathstodon.xyz/tags/pentagon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pentagon</a> <a href="https://mathstodon.xyz/tags/flower" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#flower</a> for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> This tiling uses 931 equilateral tiles.<a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a>

Dani Laura (they/she/he)Artistic rendering of a <a href="https://mathstodon.xyz/tags/CairoTiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CairoTiling</a> . <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a>

foldworksSeat upholstery, Stockholm, Sweden <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#photography</a> <a href="https://mathstodon.xyz/tags/pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#pattern</a>

This Is My GlasgowLove these rather beautiful decorative tiles on a cast-iron fireplace in the hallway of a Victorian townhouse in the West End of Glasgow which has now been converted into flats.<a href="https://mastodon.scot/tags/glasgow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#glasgow</a> <a href="https://mastodon.scot/tags/tiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiles</a> <a href="https://mastodon.scot/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.scot/tags/ceramics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ceramics</a> <a href="https://mastodon.scot/tags/fireplace" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fireplace</a> <a href="https://mastodon.scot/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mastodon.scot/tags/architecturephotography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecturephotography</a>

n-gonsThis is a tiling of different size 90-36-54 triangles. <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MathArt</a> <a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Tiling</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Art</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Geometry</a>

This Is My GlasgowLove the mosaics lining the corridor leading up to the boardroom of the former Clyde Navigation Trust building on Robertson Street in Glasgow.<a href="https://mastodon.scot/tags/glasgow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#glasgow</a> <a href="https://mastodon.scot/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecture</a> <a href="https://mastodon.scot/tags/mosaic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mosaic</a> <a href="https://mastodon.scot/tags/tiles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiles</a> <a href="https://mastodon.scot/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a> <a href="https://mastodon.scot/tags/architecturephotography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#architecturephotography</a> <a href="https://mastodon.scot/tags/glasgowbuildings" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#glasgowbuildings</a>

JamesSquare Spectres <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TilingTuesday</a> <a href="https://mathstodon.xyz/tags/aperiodic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#aperiodic</a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tiling</a>

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