“The Infinite Pattern that Never Repeats”, a presentation by
Paul Steinhardt on the problem of “tiling the plane” to infinity” (as in
flooring), on the Versatium channel. Indeed, what a geometry lesson.
The concept is called “Penrose tiling”, which I will defer
to Wikipedia for explanation. A related
problem is how “quasi crystals” form in nature.
The picture above shows a typical mineral quasicrystal in
nature, Wikipedia embed (click for attribution and chemical formula).
One can certainly imagine board or computer games based on
this mathematics. Kadi Runnels explains how tiling can he used to explain the speed of light and relativity here.
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