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 [👁 {
,
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]
.
![👁 [-6,4,-4]^4](https://mathworld.wolfram.com/images/equations/BidiakisCube/Inline3.svg){kind=link}
![👁 [-6,-3,3,-6,3,-3]^2](https://mathworld.wolfram.com/images/equations/BidiakisCube/Inline4.svg){kind=link}
![👁 [-6,-3,3,-6,4,-3,-6,4,-4,-6,3,-4]](https://mathworld.wolfram.com/images/equations/BidiakisCube/Inline5.svg){kind=link}
See also
Bislit Cube, Cube, Cubical GraphExplore with Wolfram|Alpha
More things to try:
Cite this as:
Weisstein, Eric W. "Bidiakis Cube." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BidiakisCube.html