Re: [math-fun] A COMPLETELY different kind of "squared square"
Here's a periodic tiling with 3 different-size squares: <https://www.pngkit.com/png/full/462-4628967_a-plane-composed-of-a-series-of-squares.png>. —Dan Allan Wechsler wrote: ----- I take back my intemperate guess that a square toroidal dissection into _any_ number of distinct squares is possible. In fact I don't know what the next smallest number of parts is, after 1 and 2. -----
That's cool, but the fundamental region isn't square (as it is for the Pythagorean tilings). On Fri, Jul 3, 2020 at 4:34 PM Dan Asimov <dasimov@earthlink.net> wrote:
Here's a periodic tiling with 3 different-size squares:
< https://www.pngkit.com/png/full/462-4628967_a-plane-composed-of-a-series-of-...
.
—Dan
Allan Wechsler wrote: ----- I take back my intemperate guess that a square toroidal dissection into _any_ number of distinct squares is possible. In fact I don't know what the next smallest number of parts is, after 1 and 2. -----
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Allan Wechsler -
Dan Asimov