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#tiling

15 posts7 participants0 posts today

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)

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)

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 isobelandcat.wordpress.com/201
‘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’'