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/
Orange Echo.
IFStile 4. and Ultra Fractal 6.04
I exported the raw geometry from IFStile and brought it into Ultra Fractal to add depth and layers. It’s a steep learning curve, but I love how a change in tools shifts the visual language.
#FractalArt
#UltraFractal #IFStile #DigitalArt #fractal #AbstractArt #Tessellations #FractalExploration #CreativeProcess #NoAI #MastoArt
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
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
'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
The path from #mathematics to #origami yields spectacular results
via @colossal
(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
mel
Ele Willoughby, PhD
ThereseA
Zeno Rogue
JMLR
Ur Ya'ar
Patternsmith