Bidiakis Cube


The 12-vertex graph consisting of a cube in which two opposite faces (say, top and bottom) have edges drawn across them which connect the centers of opposite sides of the faces in such a way that the orientation of the edges added on top and bottom are perpendicular to each other.

The bidiakis cube is implemented in the Wolfram Language as GraphData[{"CubicPolyhedral", 4}].

The bidiakis cube is biconnected, cubic, polyhedral, and Hamiltonian. It has three LCF notations: [-6,4,-4]^4, [-6,-3,3,-6,3,-3]^2, and [-6,-3,3,-6,4,-3,-6,4,-4,-6,3,-4].

See also

Bislit Cube, Cube, Cubical Graph

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Cite this as:

Weisstein, Eric W. "Bidiakis Cube." From MathWorld--A Wolfram Web Resource.

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