Here a slightly different view with a perspective camera showing the triangular, rectangular and hexagonal tunnels. (2/2)
Here a slightly different view with a perspective camera showing the triangular, rectangular and hexagonal tunnels. (2/2)
Monohedral hexagonal tiling which is the dual tessellation of a partial Cayley surface complex of the group:
```
G = ⟨ t₁,t₂,t₃ │ t₁t₂⁻¹t₃t₂
t₂³
(t₁t₃)²
t₁²t₃⁻²t₂⁻¹ ⟩
```
Orthographic view of an embedded ball of radius 15. (1/2)
Here the final cleaned printed surface. (5/n)
Even the supports "randomly" created by the slicer are quite beautiful to look at. (4/n)
When smoothed and printed this surface (especially the hyperbolic versions) takes on a very organic character. (3/n)
Seems like there are several solutions for the monohedral tile. Some which are of a more hyperbolic nature. (2/n)
A monohedral hexagonal tiling of a 2-periodic infinite surface. Maybe someone can help me with the right terminology here? As can be seen from the animation using a Maximum Entropy Stress Algorithm (startpoint of animation) to get to a regular embedding of the tiling in \( \mathbb{R}^3 \) only gets you so far. You need to to add more restrictions to get to an embedding where all hexagons are the same. (1/n)
"Unlock Modern Window Management in GNOME with Tiling Shell"
with Domenico Ferraro at #GUADEC2025 25 July
15:15 CEST
Brescia
Layout editor, Snap Assistant & more—Domenico shows how Tiling Shell transforms GNOME window management.
A rather beautiful bit of tiling from a tenement close in the Garnethill area of Glasgow.
4d shapes
9d colors
The hexagonal tile is of course slightly skewed. (2/3) #TilingTuesday #tiling #geometry #math
The tiling can be divided down into different modules of higher genus. One can be seen below. (2/3) #TilingTuesday #tiling #geometry #math
Monohedral Hexagonal Tiling of infinite stacked surface with triangular, hexagonal and rhombic channels. (1/3) #TilingTuesday #tiling #geometry #math
Ulugh Beg Observatory Museum, Samarkand, Uzbekistan
Three rather beautiful tile panels from walls of the Horseshoe Bar on Drury Street in central Glasgow. They're themed around the seasons, and show Spring, Summer and Autumn. If you're wondering where Winter is, apparently someone nicked it at some point!
à partir du pavage sur une boîte de piononos. (https://es.wikipedia.org/wiki/Pionono)
Humphry (the cat statue) and a tiling and hexagons and equilateral triangles, Alf Barrett playground, Old Gloucester St, London, England
My experience echoes this writer’s https://isobelandcat.wordpress.com/2012/05/03/the-back-story-of-humphry-and-marcia/
‘A while back, wandering around Bloomsbury on a sunny afternoon, I came across this sculpture in a children’s playground. … The plinth gave the cat’s name as Humphry, and the artist as Marcia Debra Solway. I looked about wondering if there was more information about why he was there, took a couple more photos, and made a mental note to look into it later.’
but the writer did the research for me:
'... on Flickr …’MARCIA SOLWAY was my daughter, she made this sculpture of HUMPHRY. He was the resident cat for 18 years at the Mary Ward Centre in Queen Square WCI...MARCIA suffered with EPILEPSY ...she died aged 34 years August 1992, the same year as HUMPHRY. MARCIA lived in Rosebery Ave ECI, she was an ardent cat lover’'
Periodic Penrose rhombs, Garden Halls, Marchmont Street, London, England