Disnub disicosahedron B (near-miss)

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This non-convex isogonal polyhedron is a faceting of a slightly deformed compound of five great icosahedra.

Disnub disicosahedron B (near-miss)
Rank3
TypeIsogonal
Elements
Faces60 scalene triangles, 20 triangles, 60 scalene triangles, 20 triangles
Edges240
Vertices60
Vertex figureIrregular octagram
Measures ​
Edge length ratio
ArmyNon-uniform snid
Abstract & topological properties
Schläfli type{3,8}
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

This is a near-miss uniform polyhedron that has two sets of different snub scalene triangles.

It has 5 different edge lengths: 1, ~1.00016, ~1.03228, ~1.03583, ~1.04027.

This polyhedron is notable for being topologically regular since all of its faces are triangles and 8 of them join at each vertex.

60 Scalene triangles 20 Equilateral triangles 60 Scalene triangles 20 Equilateral triangles

Its dual is an isohedral octagrammic hexecontahedron.

(The dual is also topologically regular since all of its faces are octagrams and 3 of them join at each vertex).

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