Top Tweets for #Cairotiling
This is my art gallery submission for JMM 2025. Clearer pictures can be found at: https://t.co/xhIIt8BgGZ #JMM2025 #mathart #mathsart #cairoTilings #cairoTiling
@Tom_Ruen

The time-lapse of @Ayliean hand-drawing a #CairoTiling from a snub square tiling ❤️ (https://t.co/SkWd0RUCYl) has reminded me to retweet this…never mind me, I’ll just keep staring at this screen…
#mathart #mathsart
This could also fall under the category of #Mathober #Mathober2021 Snub.
One of a “class” of patterns made of #dodecagons which can be pretty much split into a snub square tiling and its dual cairo-type tiling
#tiling #tilings #cairotiling #mathart #mathsart
“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

古本屋サイトでほぼ同じものをみつけました
カイロタイリングも掲載
会社の名前が「タイル」でなく「タイリング」なのが素敵。
タイルカタログ - THE TANAKA'S CEMENT PRODUCTS. CATALOGUE 4.- 田中タイリング商会 彩色図版42頁 昭1
https://t.co/zFBrcrRPVa
#cairotiling
大正14(1925)年に発行された田中タイリング商会のカタログ。本社は大阪市で東京に支店があったよう。

This could also fall under the category of #Mathober #Mathober2021 Snub.
One of a “class” of patterns made of #dodecagons which can be pretty much split into a snub square tiling and its dual cairo-type tiling
#tiling #tilings #cairotiling #mathart #mathsart
Using digital tools, continuing to learn more about the relationship between #slubsquare and #Cairotiling. You might like this @MrReuland. #pentagons

(1/3) An edge-touching pattern of 60-gons (should also work with 12-gons) making up an approximation of a #CairoTiling-type pattern with 105°-90°-150°-90°-105° #pentagons.
#mathart #mathsart #symmetry #tiling #tilings
@tessellationfan @panlepan

Something somewhat similar, using a “pentagon” with different angles in the #cairotiling, but still working with 20-gons.
#mathart #mathsart #tilings #tiling
https://t.co/tTqiP9MUi0

The basic “tile” that I made could be “expanded”. Here’s what happened when I expanded the tile by one “unit”.
https://t.co/1NZCChkj1G
#cairotiling #mathart #mathsart #tiling #tilings #polygons

Here is an edge-touching regular 20-gon pattern. Can you can spot a hint of a #cairotiling? This time, I am not using the dual of a snub-square tiling, so the angles are different.
#mathart #symmetry #tiling #tilings

The basic “tile” that I made could be “expanded”. Here’s what happened when I expanded the tile by one “unit”.
#cairotiling #mathart #mathsart #tiling #tilings #polygons

Here is an edge-touching regular 20-gon pattern. Can you can spot a hint of a #cairotiling? This time, I am not using the dual of a snub-square tiling, so the angles are different.
#mathart #symmetry #tiling #tilings

Here is an edge-touching regular 20-gon pattern. Can you can spot a hint of a #cairotiling? This time, I am not using the dual of a snub-square tiling, so the angles are different.
#mathart #symmetry #tiling #tilings


A #CairoTiling-like thing made of regular edge-touching 12-gons (#dodecagons)
#mathart #mathsart #tiling #tilings

A #CairoTiling-like thing made of regular edge-touching 12-gons (#dodecagons)
#mathart #mathsart #tiling #tilings

Trying to show hexagonal grids intersecting to form Cairo-type tilings. The grids fall apart after a while if I want the motion to stay smooth.
#cairotiling #mathart #tiling #tilings
And a reduced-colour version for #swirlysquaresunday.
#mathart #tilings #tiling #pentagons #cairotiling
Here I drew #tilings over the rotating squares.
Various irregular #pentagons form from the overlapping squares and maintain a #CairoTiling-like arrangement.
@panlepan have you done something similar?
@tessellationfan, I’m sorry that I am probably not using the terms properly.
Here I drew #tilings over the rotating squares.
Various irregular #pentagons form from the overlapping squares and maintain a #CairoTiling-like arrangement.
@panlepan have you done something similar?
@tessellationfan, I’m sorry that I am probably not using the terms properly.
Cairo-type tilings can be generated by rotating and shrinking squares on a grid. Here I am exploring how the tiles change with rotation. It almost seems that quad half-tiles may be more natural to work with than the full irregular pentagons.
#cairotiling #mathart #tiling #tilings
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