AngharadHafod

I found ths more fascinating than is probably good for me.

‘The miracle that disrupts order’: mathematicians invent new ‘#einstein’ shape - an #aperiodic tile.

They seem not to know what to do with it. But it immediately occurred to me that it could be useful in #games #graphics textures, where you want a tiling texture which doesn't form obvious patterns to the eye as you zoom out.

https://www.theguardian.com/science/2023/apr/03/new-einstein-shape-aperiodic-monotile

‘The miracle that disrupts order’: mathematicians invent new ‘einstein’ shape

Called ‘the hat’, the 13-sided shape can be arranged in a tile formation such that it never forms a repeating grid

The Guardian
May 12, 2023 at 1:03pmWeb
Show threadPaul H 🏴󠁧󠁢󠁷󠁬󠁳󠁿🇪🇺May 12, 2023

@AngharadHafod

Oh yes - the tiling problem is a fascinating area of mathematics. Aperiodic tiling is especially important (it has applications in materials and electronics where the ordering of atoms is important).

Just as fascinating are "Penrose tiles" (named after the mathematician Roger Penrose) - two shapes which cover aperidically.
https://en.wikipedia.org/wiki/Penrose_tiling

Penrose tiling - Wikipedia

Show threadGarryMay 12, 2023
@AngharadHafod When I first saw this in The Guardian, I thought 'sheep in a pen'. But maybe that's just me or golygfa Gymreig :)
Show threadAngharadHafodMay 12, 2023
@Gaz I don't think shapes with squidgy edges count though 😁