Sunday, May 12, 2013

Korgome: all-in vs. in-out

If korgome is configured all-in there is no need for the underlying triangulation to be chess-colorable.

The all-out korgome weave of a tetrahedron is simply a cube with the tetrahedron visible as diagonals of the faces.

The all-in korgome weave of an octahedron has zero volume.

As shown in the previous post, the in-out korgome weave of the two-faced triangle (the dual map of the theta graph on the sphere) has zero volume. The same is true of the dual map of the cyclo-butadiene graph on the sphere.

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