Snub expanded tetrated dodecahedron

The snub expanded tetrated dodecahedron is a near-miss Johnson solid. Its faces are 12+12+12+12 scalene triangles, 4+4 regular triangles, and 12 irregular pentagons.

Snub expanded tetrated dodecahedron
Rank3
TypeNear-miss
Elements
Faces12+12+12+12 scalene triangles, 4+4 regular triangles, 12 irregular pentagons
Edges6+12+12+12+12+12+12+12+12+12
Vertices12+12+12+12
Vertex figures12 irregular quadrilaterals
 12+12+12 irregular pentagons
Measures (edge length 1)
Edge length ratio1.01801
Central density1
Number of external pieces68
Related polytopes
ConjugateNone
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA3+, order 12
ConvexYes
NatureTame

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