Rectified order-6 truncated triakis tetrahedron

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Rectified order-6 truncated triakis tetrahedron
Rank3
TypeNear-miss
Notation
Conway notationat6kT
Elements
Faces4 triambi, 12 mirror-symmetric pentagons, 12+12 isosceles triangles, 4 triangles
Edges12+12+12+24+24
Vertices24+12+6
Vertex figures12 isosceles trapezoid
 24 irregular quadrilateral
 6 rectangle
Measures (edge length 1)
Edge length ratio1.03143
Central density1
Number of external pieces44
Related polytopes
ConjugateNone
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA3, order 24
ConvexYes
NatureTame

The rectified order-6 truncated triakis tetrahedron is a near-miss Johnson solid. Its faces are 4 triambi, 12 mirror-symmetric pentagons, 12+12 isosceles triangles and 4 regular triangles.

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