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#mathart

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foldworks<p>Window, North Gate, Imperial Citadel of Thăng Long, Hanoi, Vietnam <a href="https://en.wikipedia.org/wiki/Imperial_Citadel_of_Th%C4%83ng_Long#North_Gate_(C%E1%BB%ADa_B%E1%BA%AFc,_or_B%E1%BA%AFc_M%C3%B4n)" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Imperial</span><span class="invisible">_Citadel_of_Th%C4%83ng_Long#North_Gate_(C%E1%BB%ADa_B%E1%BA%AFc,_or_B%E1%BA%AFc_M%C3%B4n)</span></a><br><a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Tiling</span></a> <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TilingTuesday</span></a> <a href="https://mathstodon.xyz/tags/Pattern" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pattern</span></a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geometry</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/MathsArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathsArt</span></a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>photography</span></a> <a href="https://mathstodon.xyz/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>architecture</span></a></p>
꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂<p>Diagonal ✝️section of ðe 4d cartesian product of 2 "I want to be a sea urchin and eat cabbage"(yes, really) tilings</p><p>⬛🟦⬛<br>🟧⬜🟧 kinda like ðis<br>⬛🟦⬛</p><p>Unfortunately we are still too dimensionally, perceptually, &amp; probably intellectually challenged to even try to look at ðe full θing 😔</p><p><a href="https://mastodon.gamedev.place/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TilingTuesday</span></a> <a href="https://mastodon.gamedev.place/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>tiling</span></a> <a href="https://mastodon.gamedev.place/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mastodon.gamedev.place/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mastodon.gamedev.place/tags/mastoart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mastoart</span></a> <a href="https://mastodon.gamedev.place/tags/4d" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>4d</span></a> <a href="https://mastodon.gamedev.place/tags/abstract" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>abstract</span></a></p>
n-gons<p>It's <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TilingTuesday</span></a> !</p><p>Tiling of 12 colourful ducks.</p><p><a href="https://mathstodon.xyz/tags/Tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Tiling</span></a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geometry</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Art</span></a></p>
Dani Laura (they/she/he)<p>Two tilings of tangent circles for <a href="https://mathstodon.xyz/tags/TilingTuesday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TilingTuesday</span></a> .<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>tiling</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a></p>
bbqshoes<p>"Just remember," she says. "I'm holding you responsible for all of this."</p><p><a href="https://mastodon.art/tags/Monday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Monday</span></a> <a href="https://mastodon.art/tags/Mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathart</span></a> <a href="https://mastodon.art/tags/Mandelbulb" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mandelbulb</span></a> <a href="https://mastodon.art/tags/Mood" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mood</span></a></p>
Dani Laura (they/she/he)<p>These artworks are based on a simple procedure I came up with, no randomness but 4 parameters to adjust (apart from the colours). One of the parameters is an angle, slight adjustments can produce significant changes in the output. Best viewed enlarged.<br>Generated using <a href="https://mathstodon.xyz/tags/Python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Python</span></a> with the libraries cairo and euclid.<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Art</span></a> <a href="https://mathstodon.xyz/tags/GenArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GenArt</span></a></p>
Zeno Rogue<p>A procedurally generated, non-human building. What creatures could live in buildings of this kind?</p><p>(There is a correct answer, but other answers are interesting too.)</p><p><a href="https://mathstodon.xyz/tags/Rogueviz" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Rogueviz</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/procgen" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>procgen</span></a></p>
Fractal Kitty<p>If anyone wants to make a Half-square Hilbert I made a toy to play with patterns. (fixed a bug from the first go)</p><p>I need fabric - so I plan to start maybe later this week. </p><p><a href="https://codepen.io/fractalkitty/live/pvoBwxv/edc44d4417167d59d8b2c1d9ad574109" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">codepen.io/fractalkitty/live/p</span><span class="invisible">voBwxv/edc44d4417167d59d8b2c1d9ad574109</span></a></p><p><a href="https://mathstodon.xyz/tags/codepen" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>codepen</span></a> <a href="https://mathstodon.xyz/tags/p5js" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>p5js</span></a> <a href="https://mathstodon.xyz/tags/quilting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>quilting</span></a> <a href="https://mathstodon.xyz/tags/hilbertCurve" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>hilbertCurve</span></a> <a href="https://mathstodon.xyz/tags/fiberArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fiberArt</span></a> <a href="https://mathstodon.xyz/tags/quilts" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>quilts</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a></p>
n-gons<p>Fun with chiral shapes - cube from snub cubes.</p><p><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geometry</span></a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>3D</span></a> <a href="https://mathstodon.xyz/tags/Polyhedron" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Polyhedron</span></a> <a href="https://mathstodon.xyz/tags/Hedron" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hedron</span></a></p>
codeismycanvas<p>At some point, I have to stop agonizing over color palettes and just post the thing.</p><p><a href="https://universeodon.com/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://universeodon.com/tags/fractalart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractalart</span></a> <a href="https://universeodon.com/tags/generativeart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>generativeart</span></a> <a href="https://universeodon.com/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a></p>
Jean-Baptiste Etienne<p>Un pavage de Truchet modifiable en cliquant sur les triangles d'une zone bien précise.<br><a href="https://www.geogebra.org/m/pngnrsgh" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">geogebra.org/m/pngnrsgh</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/truchet" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>truchet</span></a> <a href="https://mathstodon.xyz/tags/geogebra" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geogebra</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/triangle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>triangle</span></a></p>
Adam Coffman<p>Seen in the Mathematical Art display room at the tri-section <a href="https://mathstodon.xyz/tags/MAA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MAA</span></a> meeting: a long exact scarf!?! 🧣 <br><a href="https://mathstodon.xyz/tags/FiberArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FiberArt</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a></p>
David A. Reimann<p><a href="https://mathstodon.xyz/tags/MathArtMarch" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArtMarch</span></a> Day 5: Discovery<br>Julia is the Solution<br>This work pays homage to Julia Robinson (1919–1985). Her work was a critical component in discovering a proof (negatively) of Hilbert's tenth problem.<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a></p>
Dani Laura (they/she/he)<p>These art pieces are generated starting with a rectangle of given proportions and iteratively generating two smaller rectangles from it, using a simple procedure (which could be easily done with ruler and compass).<br>Rectangles are coloured according to their proportion and orientation, each piece with a different palette . No randomness here (as usual). Generated using <a href="https://mathstodon.xyz/tags/Python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Python</span></a> .<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Art</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a></p>
Risto A. Paju<p>Minimum spanning tree of a dithered image, 4096 vertices. Model: Swetlana</p><p><a href="https://mathstodon.xyz/tags/spanningtreeyoungandsweet" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spanningtreeyoungandsweet</span></a> <a href="https://mathstodon.xyz/tags/minimumspanningtree" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>minimumspanningtree</span></a> <a href="https://mathstodon.xyz/tags/primsalgorithm" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>primsalgorithm</span></a> <a href="https://mathstodon.xyz/tags/graphtheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>graphtheory</span></a> <a href="https://mathstodon.xyz/tags/halftoneart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>halftoneart</span></a> <a href="https://mathstodon.xyz/tags/lineart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>lineart</span></a> <a href="https://mathstodon.xyz/tags/pythoncode" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>pythoncode</span></a> <a href="https://mathstodon.xyz/tags/opengl" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>opengl</span></a> <a href="https://mathstodon.xyz/tags/algorithmicart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>algorithmicart</span></a> <a href="https://mathstodon.xyz/tags/algorist" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>algorist</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/laskutaide" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>laskutaide</span></a> <a href="https://mathstodon.xyz/tags/computerart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>computerart</span></a> <a href="https://mathstodon.xyz/tags/ittaide" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ittaide</span></a> <a href="https://mathstodon.xyz/tags/kuavataide" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>kuavataide</span></a> <a href="https://mathstodon.xyz/tags/iterati" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>iterati</span></a></p>
Dani Laura (they/she/he)<p>These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size.<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Art</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/tiling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>tiling</span></a></p>
Albert P. Carpenter<p>Graphic design of a Stewart star dodecahedral polytoroid and 3D print: design components: cubes, J92s, J5s, decagonal pyramids. <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>3dprintedmath</span></a> <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>3dprinting</span></a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>stem</span></a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>steam</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/polyhedra" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>polyhedra</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>art</span></a></p>
Dani Laura (they/she/he)<p>Continuing with fractals related to squares and silver ratio diminution, a new creature of the fractal sea, along with the underlying squares version.<br><a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>art</span></a> <a href="https://mathstodon.xyz/tags/SilverRatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SilverRatio</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a></p>

A while back, @gwenbeads posted about the book “A Stitch in Line: Mathematics and One-Stitch Sashiko” by Katherine Seaton, and it was so relevant to my interests I had to get hold of it. I’ve been working through it ever since, stitching the samplers and playing with the maths.

I’m currently paused at the end of chapter 8 as I wait for new thread (Retors d’Alsace!!!) to arrive for the next sampler. Here’s a photo of all my samplers so far, done on my hand-dyed muslin scraps; my plan is to patchwork them all together into a hanging once I’ve finished.

Gwen’s review of the book is in a paywalled journal, but she’s put a link to free copies (of the review, not the book) here: mathstodon.xyz/@gwenbeads/1140