Friday, March 24, 2023

(x, why?) Mini: Polykite

(Click on the comic if you can't see the full image.)
(C)Copyright 2023, C. Burke. "AnthroNumerics" is a trademark of Christopher J. Burke and (x, why?).

Read all about it in the aperiodical!

I admit that I don't know much about aperiodical tiling. Unlike tessellations, aperiodical tiling doesn't repeat. If you take kites and darts and make Penrose tiling, you can start with a nice flower (call it a rose or a penrose, if you will) and expand outward, but the patterns will never repeat.

The tridecagon shown in the comic is a "new" shape, recently discovered, that doesn't tessellate. It creates tiles that do not repeat. This is of interest because unlike kites and darts, this is a single polygon. That's something new.

It's called a polykite and is referred to as a "hat". I used both references, although I didn't manage a "pass the hat" quip. And, yes, like Polywhirl and Polycarp, I think that Polykite sounds like it sound evolve into another shape.

Or, since it's Geometry, maybe it should "transform".

Such a transformation likely wouldn't be a rigid motion. But the tiling definitely is.



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