GAAAAAAA!! In[12]:= PolyhedronData["PentakisDodecahedron", "EdgeLengths"] // DeleteDuplicates Out[12]= {1, 1/6 (9 - Sqrt[5])} I mistook pentakis to mean augmented! Apologies to everyone. On 2019-03-11 11:57, Tom Karzes wrote:

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:

...

Johnson 93? < https://www.wolframcloud.com/objects/810fbe92-6ab3-480b-9f86-e4869990cf46> —rwg And why can't we tumble that figure? We probably can if we refresh the page once or twice. —rwg