Snub dodecahedron (near-miss)

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Snub dodecahedron (near-miss)
Near-miss20.png
Rank3
TypeIsogonal
SpaceSpherical
Elements
Faces60 isosceles trapezoids, 12 pentagons
Edges150
Vertices60
Vertex figuremirror-symmetric pentagram
Measures ​
Edge length ratio
Related polytopes
ArmyNon-uniform Srid
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

This non-convex isogonal polyhedron is a faceting of a deformed noble pentagonal hexecontahedron.

This is a near-miss uniform polyhedron that has snub "squares" (isosceles trapezoids).


It has 3 different edge lengths: 1, ~1.11486, ~1.11946.

If the trapezoids are distorted to become rectangles, the polyhedron becomes semi-uniform.

20verf.png

20face1.png
20face2.png
12 pentagons 60 isosceles trapezoids

Its dual is an isohedral pentagrammic hexecontahedron.

Its dual is a isohedral octagrammic hexecontahedron
Dual's face
Dual's face