Orthotunnelled truncated cube

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Orthotunnelled truncated cube
Rank3
TypeQuasi-convex Stewart toroid
Notation
Stewart notationT4/Q4(P4)Q4
Elements
Faces4 octagons,
8+8 triangles
4+8 squares
Edges4+4+8+8+16+16
Vertices8+8+16
Measures (edge length 1)
Volume
Surface area
Related polytopes
Convex hullTruncated cube
Abstract & topological properties
Flag count256
Euler characteristic0
SurfaceTorus
OrientableYes
Genus1
Properties
SymmetryB2×A1
ConvexNo

The orthotunnelled truncated cube is a quasi-convex Stewart toroid. It can be made by excavating 2 square cupolas and 1 cube from a truncated cube. There are two ways to do this, resulting in two distinct quasi-convex Stewart toroids.[1] The gyrotunnelled variant results in octagonal faces sharing edges with square faces, while in the orthotunnelled variant octagons only share edges with triangles and other octagons. Both varieties have the same symmetry, face counts, and volumes.

Gallery[edit | edit source]

External links[edit | edit source]

References[edit | edit source]

Bibliography[edit | edit source]

  • Stewart, Bonnie (1964). Adventures Amoung the Toroids (2 ed.). ISBN 0686-119 36-3.