From: Bill Gosper <billgosper@gmail.com> Date: Tue, 30 May 2017 18:57:05 -0700 Subject: [math-fun] The bathroom square dance?
On 2017-05-29 05:48, James Propp wrote:
Can a square-tiling of the plane, like a square-tiling of a square, be converted into an electrical network (a la Brooks, Smith, Stone, and Tutte)? That might give a picture that would be suggestive of a different name than "bathroom floor tiling".
Incidentally, I've always thought that the tiling of the plane by squares and octagons was the "bathroom floor tiling":
The tiles of the MIT AI Lab bathroom were just squares, randomly dark and light. I remember because, as I looked at them, they'd spontaneously run a couple of Life generations, so long had I spent watching the CRT. Strangely, the dark ones were 1 and the light ones 0. Maybe the dark ones were sparser? --rwg
https://www.houzz.com/photos/48092404/Victorian-Octagon-With-White-Dot-Porce...
The bathrooms in building 10 had a tile that was composed of ominoes in two colors. There was no obvious pattern. From time to time I've seen that tiling in other places, but it has been some years now. It might be called "stretch bond", but I've found that name in only one place, and I'm not sure it is the same pattern. Could someone run over to building 10 and take a picture? Hilarie