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I don’t think anyone noticed yet that if you continue transforming the hinged tessellation of squares beyond the point that the squares overlap, something surprising happens:

At one stage all squares overlap completely, so that you see only a single square.

In fact, if you work out the formula for the translation of square (i,j), for a tessellation in which the squares are rotated by angle alfa and (-alfa) alternating, you get

(x,y) = (i,j) * (cos(alfa) + sin(alfa))

So when alfa gets –pi/4, the translations all become zero!

At one stage all squares overlap completely, so that you see only a single square.

In fact, if you work out the formula for the translation of square (i,j), for a tessellation in which the squares are rotated by angle alfa and (-alfa) alternating, you get

(x,y) = (i,j) * (cos(alfa) + sin(alfa))

So when alfa gets –pi/4, the translations all become zero!

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+Ihab Awad At first glance at the picture I thought this was you.

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Shepherd tone crochet needles

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In software-defined radio, there are well-established ways of visually representing the entire received bandwidth, to

*see*all signals within it. Here is a way to*hear*them as well, with caveats.Add a comment...

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Holy crap, this musical marble machine is amazing!

Have been watching various videos of the guy building the machine over the past year. First became aware of it when he emailed me asking questions about gearing a long time ago.

Have been watching various videos of the guy building the machine over the past year. First became aware of it when he emailed me asking questions about gearing a long time ago.

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