A Tessellation of Squares, 30-60-90 Triangles, and Obtuse, Scalene Triangles
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This has many more different polygons than most of my tessellations, so I’m including a color key.
Using Stella 4d (available here), I put this tessellation on the octagonal faces of a truncated octahedron, while hiding the triangular faces. The tessellation itself was made using Geometer’s Sketchpad.
If you like this, please look at the post immediately before this one, also — it’s what gave me the idea for the tessellation above.