I recently made this 4-inch polyhedron out of 6 hand-cut octagons and 8 equilateral triangles. It's for a project that I hope to be able to share soon, but for now...
I love the beautiful simplicity of creating octagons from squares using simply a silver pencil, a straight edge and a compass. No actual measurements of any kind (other than getting a 4-inch square to begin with).
Typically I find myself making one or more of the five Platonic solids (although though this is not one, but a modified version of one) in various sizes and for a variety of reasons—sometimes closed like these below, but often open as well.
For example, I love the way my large-ish (approx. 3 ft dia.) open dodecahedron holds the snow...
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