Tri-tridiminished icosahedron

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Tri-tridiminished icosahedron
Rank3
Notation
Bowers style acronymTitdi
Elements
Faces3+3 isosceles triangles, 3 kites
Edges3+3+3+6
Vertices1+1+3+3
Vertex figure1+1+3 triangles, 3 pentagons
Measures (edge length 1)
Central density1
Related polytopes
ArmyTitdi
RegimentTitdi
DualTridiminished icosahedron
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA2×I, order 6
ConvexYes
NatureTame

The tri-tridiminished icosahedron, or titdi, is a polyhedron obtained as the dual of the tridiminished icosahedron. It has 3 kites and 3+3 isosceles triangles for faces.

It can be formed from a regular icosahedron by removing 3 sets of 3 vertices, or from a dodecahedron by augmenting 3 non-adjacent faces with tall pyramids.

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