Rayne's n-6-3 acrohedra

Rayne's n-6-3 acrohedra are an infinite family of self-intersecting acrohedra discovered in early 2023. Nondegenerate acrohedra exist for n = 5 and n &ge; 7.

For even n, the process for building an acrohedron is as follows:


 * Start with a regular n-gon as the base.
 * Alternately attach regular hexagons and equilateral triangles to the sides of the base, closing up all open edges of triangles and resulting in n copies of n-6-3 acrons.
 * Each hexagon now has three open edges, one of which is parallel to the base. Attach an equilateral triangle to the other two, coplanar to the hexagon.
 * Add n equilateral triangles to seal up the 2n open edges that are not parallel to the base.
 * All open edges are now in the same plane. Mirror the figure about that plane to close up all edges.
 * If coplanar faces are not allowed, resolve them by excavating tetrahedra.

The resulting figure has the same symmetry as the uniform n-gonal prism.