Elevated and Excavated Dodecahedra
My favorite mathartist Paula Beardell Krieg was writing about these polyhedra and I had lots of questions. Like how can you have six equilateral triangles and not be flat?
So she sent me these!
So stellated polyhedra are not just with pyramids on the faces, the pyramids have to have faces coplanar with the original faces of the polyhedron, which this stellated in progress really demonstrates.
From Wikipedia: a pentakis dodecahedron or kisdodecahedron is the polyhedron created by attaching a pentagonal pyramid to each face of a regular dodecahedron; that is, it is the Kleetope of the dodecahedron. It is a Catalan solid, meaning that it is a dual of an Archimedean solid, in this case, the truncated icosahedron.
Kleetope!
Dan Bach responded...
Solid math pun.
And that's my week in polyhedra!
