[math-fun] Why isn’t PentakisDodecahedron Johnson 93??

Here's a colored, auto-rotating rendering. You can also click- and-drag to manually rotate it (requires a mouse, not a touch screen): http://www.karzes.com/polyhedra/polyhedron.html?ph=v5.6.6 Tom Tom Karzes writes:

It looks like the tumble problem has been fixed. Rotating it makes it clear that the triangles are not regular. Wikipedia says they are isosceles, and that the Pentakis Dodecahedron is a Catalan Solid.

Tom

Tom Karzes writes:

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I see 6 triangles meeting at a vertex. If the triangles are regular, then either they are coplanar or the polyhedron is concave.

Tom

Bill Gosper writes:

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Johnson 93? <https://www.wolframcloud.com/objects/810fbe92-6ab3-480b-9f86-e4869990cf46> —rwg And why can't we tumble that figure?