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Whereas most of my designs are supposed to represent mathematically significant objects, this is a model of the polyhedron I used for each graph vertex in many of my earliest designs. It consists of 138 vertices, 408 edges and 272 triangular faces. Please note the regular octagons allowing for an exact fit with octagonal prisms as graph edges in 18 directions. Eventually I moved on to rounder vertices and edges with no restrictions on the directions. -JanKrHaugland