Talk:Compound of two icosahedra

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 Field:  Geometry

Decomposition of faces into 16+24 triangles[edit]

The forty triangles in this compound fall into two orbits under the symmetry group. One orbit comprises the 16 with C3 symmetry that occur in octahedral planes. The other 24 (with reflection symmetry only) are adjacent to edges through the four-fold rotational symmetry axes of the compound.

Decomposing separate orbits of edges in this fashion is consistent with other uniform polyhedron articles, e.g. the 40 icosidodecahedral and 60 snub triangles in small snub icosicosidodecahedron.

If there are no objections, I'll revert the table entry to '16+24 triangles' in a few days. Robert Stanforth (talk) 20:32, 19 December 2007 (UTC)

On second thoughts, I'll revert it now, and augment the article with the explanation. Robert Stanforth (talk) 20:55, 19 December 2007 (UTC)