#tessellations — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #tessellations, aggregated by home.social.
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🎨✨ Behold, the groundbreaking revelation that #Hokusai, known for his waves and dragons, also liked shapes! 🐉🔺 Dive into this earth-shattering exposition on the obvious, where #tessellations are treated like the #discovery of #fire. 🔥🙄
https://dl.ndl.go.jp/pid/1899550/1/11/ #Art #Shapes #HackerNews #ngated -
🎨✨ Behold, the groundbreaking revelation that #Hokusai, known for his waves and dragons, also liked shapes! 🐉🔺 Dive into this earth-shattering exposition on the obvious, where #tessellations are treated like the #discovery of #fire. 🔥🙄
https://dl.ndl.go.jp/pid/1899550/1/11/ #Art #Shapes #HackerNews #ngated -
🎨✨ Behold, the groundbreaking revelation that #Hokusai, known for his waves and dragons, also liked shapes! 🐉🔺 Dive into this earth-shattering exposition on the obvious, where #tessellations are treated like the #discovery of #fire. 🔥🙄
https://dl.ndl.go.jp/pid/1899550/1/11/ #Art #Shapes #HackerNews #ngated -
🎨✨ Behold, the groundbreaking revelation that #Hokusai, known for his waves and dragons, also liked shapes! 🐉🔺 Dive into this earth-shattering exposition on the obvious, where #tessellations are treated like the #discovery of #fire. 🔥🙄
https://dl.ndl.go.jp/pid/1899550/1/11/ #Art #Shapes #HackerNews #ngated -
🎨✨ Behold, the groundbreaking revelation that #Hokusai, known for his waves and dragons, also liked shapes! 🐉🔺 Dive into this earth-shattering exposition on the obvious, where #tessellations are treated like the #discovery of #fire. 🔥🙄
https://dl.ndl.go.jp/pid/1899550/1/11/ #Art #Shapes #HackerNews #ngated -
rushing to devour the magazine before her son (who had the subscription). He reported in July, 1975, that Kershner had finally found all the remaining convex polygons which could make #tessellations to tile the plane. The next month, a reader, Richard James III found a new convex pentagon tiler. Rice was inspired to start her own search.
She spent her spare time discretely drawing diagrams on the kitchen table which she hid when her husband, kids or friends stopped by. 🧵2/
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An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.
These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).
It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.
The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle \(\alpha\)!
https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes
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An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.
These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).
It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.
The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle \(\alpha\)!
https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes
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An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.
These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).
It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.
The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle \(\alpha\)!
https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes
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An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.
These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).
It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.
The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle \(\alpha\)!
https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes
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An aperiodic tessellation of the hyperbolic plane, found by Toimine in the #tessellations channel in the HyperRogue discord.
These tiles are equilateral, with edge length of 0.56358, which is less than the 0.56626 that was achieved by the regular {7,3} tiling (which was apparently the previous record for a tiling with equilateral convex tiles).
It is also possible to the connect two pentagons by their "bases" to obtain a funky variant of the {8,3} tiling. Then, we can play with the angles -- for "narrow" tiles, the edge length becomes even smaller, about 0.5436.
The animated visualization also shows some new cool features of the RogueViz expression parser: it can now automatically solve for the edge length which makes the tiling work for the given angle \(\alpha\)!
https://github.com/zenorogue/hyperrogue/blob/master/tessellations/sample/aperiodic_pentagons.tes
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son (who had the subscription). He reported in July, 1975, that Kershner had finally found all the remaining convex polygons which could make #tessellations to tile the plane. The next month, a reader, Richard James III found a new convex pentagon tiler. Rice was inspired to start her own search.
She spent her spare time discretely drawing diagrams on the kitchen table which she hid when her husband, kids or friends stopped by. She succeeded by February, 1976, & wrote Gardner of her new 🧵2/n
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'Minimax Rates for High-Dimensional Random Tessellation Forests', by Eliza O'Reilly, Ngoc Mai Tran.
http://jmlr.org/papers/v25/22-0673.html
#tessellations #classification #forests -
(who had the subscription). He reported in July, 1975, that Kershner had finally found all the remaining convex polygons which could make #tessellations to tile the plane. The next month, a reader, Richard James III found a new convex pentagon tiler. Rice was inspired to start her own search.
She spent her spare time discretely drawing diagrams on the kitchen table which she hid when her husband, kids or friends stopped by. She succeeded by February 1976, & wrote Gardner of her new pentagon 🧵2
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She began to follow SciAm writer/amateur mathematician Martin Gardner's column, rushing to devour the magazine before her son (who had the subscription). He reported in July, 1975, that Kershner had finally found all the remaining convex polygons which could make #tessellations to tile the plane. The next month, a reader, Richard James III found a new convex pentagon tiler. Rice was inspired to start her own search.
🧵2/n -
I just returned from my first Society of Engineering Science conference in Minneapolis, and I had a great time!
My student presented recent work on #tessellations of #origami patterns called "flashers". Flashers can fold a polygonal sheet of material into a spirally-wrapped cylinder. I've been working with these patterns for a while, and this work showed that it's possible to tile the plane with flashers.
Here's an example of a hexagonal tiling.
1/n
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Some real cool #tessellations on display in the LGA terminal. How are the tiles tessellating?
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rushing to devour the magazine before her son (who had the subscription). He reported in July, 1975, that Kershner had finally found all the remaining convex polygons which could make #tessellations to tile the plane. The next month, a reader, Richard James III found a new convex pentagon tiler. Rice was inspired to start her own search.
She spent her spare time discretely drawing diagrams on the kitchen table which she hid when her husband, kids or friends stopped by.
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Stay tuned for my #linocut of amateur #mathematician Marjorie Rice & her #pentagonalTiling work, Escher-like patterns & #tessellations. This is also a story about not gate-keeping & a mathematician who was able to recognize the accuracy of the unusual work of an outsider. Lastly it’s a story of how thinking like an artist can sometimes give new insights in science and math.
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following intro up with some hashtags
Things I do actively!
Programming: #csharp #fsharp #functionalprogramming #idris #clojure #typescript
Gamedev: #bitsy #twine #interactivefiction #pico8 #roguelike #rotjs
Music: #guitar #lute #earlymusic #mbira #livecoding #sonicpi #dungeonsynthInterests!
Math: #categorytheory #logic #tessellations #theoreticalcomputerscience #polyhedra #abstractalgebra
Nature #ferns #fungi #slimemold #lichen #invertebrates
Other: #bicycling #swordandsorcery -
“Cairo Transitions: Radial”
Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?
#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons
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“Cairo Transitions: Radial”
Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?
#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons
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“Cairo Transitions: Radial”
Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?
#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons
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“Cairo Transitions: Radial”
Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?
#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons