{3,8}

Genus: 5
Symmetry: Multi-directional

This model can be constructed as a packing of snub cubes in alternating left and right handed versions (colored red and green respectivily) connected by their square faces leaving only triangles connected 8 at each vertex. The snub cubes are connected in alternating right and left handed versions. The VRML model colors the right handed ones red and the left handed ones green. I found this figure in the book "The Geometrical Foundation of Natural Structure" by Robert Williams although I doubt he realized that the figure constituted an infinite regular polyhedron.
 

VRML 2 model

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