Aperiodic Monotile

[Acorn]

This a a design that cover the plane but never repeats and uses a single montile (the Einstein Tile - from 'ein stein').
This is an article in Wikipedia, https://en.wikipedia.org/wiki/Einstein_problem, with lots of references elsewhere.
It is exciting as it may lead to development of quasi-crystals so it is not just a mathematical puzzle solved.
David Smith used this "hat"-shaped tile formed from eight copies of a 60°–90°–120°–90° kite, glued edge-to-edge.
I have made my construction from a hexagon and two slice steps to creat the 'hat'.

As the end result is a Shape it can be scaled and rendered in a browser as a SVG and even exported as one.

Here is my design: SVG - Aperiodic monotile smith 2023.xar
The Pasteboard is a repeated portion of such a tiling to give you an idea of what it looks like.

Acorn

[handrawn]

a great career awaits you as the designer of cushion flooring patterns !



that said quasi-crystal technology has a lot of uses

[Acorn]

a great career awaits you as the designer of cushion flooring patterns !
that said quasi-crystal technology has a lot of uses

As long as my room doesn't have padded wall tiles too!

Acorn