# tessellations mathart mathsart rhombus tiling rstats mathematics generative tidyverse splatoon2 fanart cephalopod nautilus

The newest great discovery in tilings is already implemented in HyperRogue. So you can play infinite aperiodic Minesweeper on it, or whatever!

89 778
2023-03-24

Here’s an interesting finding. It’s well-known that there are three pentagonal tilings which are duals of the Archimedean tilings, named Cairo, Prismatic, and Floret. Cairo and Prismatic are known to tile as a mixture. But what about all three? I can't find it in the literature.

5 39
2022-07-12

Third one is "Geometric realms" by

Persian tone and geometrical tilings??? these touches every single architect bone in my body

https://t.co/nLkO18efty

1 5
2022-05-09

In her talk Doris Schattschneider shared the link to the web app "[John H.] Conway's Magic Pen," which allows you to generate various tilings such as this one. She was the mathematical consultant behind it. https://t.co/yNBrgSXYWI

0 6
2021-10-22

One of my Escher-like tilings used to illustrate a spiral principle in a joint paper headed by Peichang Ouyang, an advanced mathematician, in ‘Generation of advanced Escher-like spiral tessellations’. The paper is open access: https://t.co/ikFs0KAKIb

9 26
2021-08-19

A glimpse of infinity.
Don't you just love nonperiodic tilings? They seem to have a mixture of order and disorder, poised at the edges of human intuition or comprehension. Source: https://t.co/LSkokHl0FI

11 78
2021-02-24

n-armed spiral tilings of trapezoids based on regular n-gons. When n = 4 the trapezoid becomes a rectangle. Note that n = 5 is unique in allowing two distinct ways of matching adjacent scaled tiles.

32 130
2021-02-19

Penrose tilings are examples of aperiodic tessellations – even though they only consist of a few different shapes, they never repeat themselves. https://t.co/IQKCeUTtvB

18 44
2020-06-18

Cool :3 maybe octilings? :D

0 4
2020-05-07

数検ツイートって1年毎に違ったのか、昔https://t.co/wiIEq1udCp は調べなかったけど、今年の荒木様からarXivのJoel Anthony Haddley, Stephen Worsley「Infinite families of monohedral disk tilings」https://t.co/Je17zT1Sh0 まで見て自分でも作図してみた難！円の扇形n分割からさらに非自明分割と

0 0
2019-07-22

squaring_net様 「pdf of SPIIRTSs order 10 (10 tilings)」https://t.co/EWumMuD4t4 いうても直二グリッドに沿って大きい直二だけにしてるだけやろ、ってメチャクチャ難しい問題やないかーい、やる気ない俺は魔方陣を図解するようなパズルと考えたら、最終案で添付図のようになりました。斜め意味なし

0 0
2019-07-16

Some images showing the multi-grid method for constructing rhombic tilings inside n-gons.

13 54
2019-03-15

正12角形さんレベルだとチョット隙間増やした方が重ならない（重なってもドッチカ選べばいいんだけど）4n一般解については再考の余地あり略。とかやってる間に中心にブラックホールがあるけど万能タイルsymmetrotilings?発明されてたスゴスギ、スカスカだけど少ないarm7で繋げたんじゃなく難しい方だッ

0 0
2019-01-24

Every tiling in the paper „Some Monohedral Tilings Derived From Regular Polygons“ by Paul Gailiunas can be drawn with the .

https://t.co/ZI7Qmchn6D

2 10
2019-01-22

Crescents tilings work also for even numbers of edges. But for 6 a chessboard coloring ist not always possible. But with 8 it works fine.

1 3
2019-01-13

Inspired by the Splatoon Series, here's a new Species of ink shapeshifters based on the Nautilus, called Nautilings!

2 4
2018-11-18