RevK Apr 22

I have decided to do something very stupid…

Trying to create a tiled surface of spectre aperiodic chiral monotiles, in code. Generating svg…

I sure others have, but trying to solve it myself.

I am pondering a coordinate system that is a sum of integer multiples of 0.5 plus integer multiples of sin60.

https://en.wikipedia.org/wiki/Einstein_problem#/media/File%3AMonotilePolygon.svg

Einstein problem - Wikipedia

Show threadRevK Apr 23

OK I cannot simply place tiles randomly touching existing tiles as they can leave non tile shaped gaps.

I have to work out allowed ways to place tiles somehow.

Back to drawing board.

Show threadHugo MillsApr 23
@revk I know you're working it out for yourself, but if you get stuck, Simon Tatham (@simontatham) has written in detail about some of the algorithms used for aperiodic tilings on his home page: https://www.chiark.greenend.org.uk/~sgtatham/
Simon Tatham's Home Page

Show threadRevK 

@darkling @simontatham Yeh, I am getting to the point I need to read up and maybe code that...

Shame.

Apr 23 at 10:17amWeb
Show threadHugo MillsApr 23
@revk @simontatham There was also a Penrose-tiling screensaver in xscreensaver, which showed it filling in the plane as it went. You could see that it did a lot of backtracking if it determined that it had backed itself into a corner. Watching that may be of some help, too.