What are non-trivial dissections of a $45^\circ-60^\circ-75^\circ$ triangle into smaller $45^\circ-60^\circ-75^\circ$ triangles?

Asked Nov 18 '21 at 00:19

Active Nov 18 '21 at 00:43

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At this link, a square is divided into $45^\circ-60^\circ-75^\circ$ triangles in various ways. To solve that problem, several people built databases of shapes that could be built with that triangle. Since a lot of effort went into those databases, this question is meant to mine out some of the existing interesting data.

I would like to see a few of the other possibilities for use in substitution tilings.

edited Nov 18 '21 at 00:43

asked Nov 18 '21 at 00:19

Ed Pegg

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What are non-trivial dissections of a $45^\circ-60^\circ-75^\circ$ triangle into smaller $45^\circ-60^\circ-75^\circ$ triangles?

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