Birectified heptapeton

The birectified heptapeton, also known by its OBSA bril, Coxeter symbol 0₃₂, is a uniform polypeton that is the birectification of the heptapeton, composed of 7 rectified hexatera and 7 dodecatera. Its vertex figure is a triangular-tetrahedral duoprism. It has a circumradius of √427 ≈ 0.925820.

It appears as an exon of the birectified octaexon as well as the vertex figure of the 1₃₂ polyexon.

Structure

Beginning from a dodecateron, half of its rectified pentachoral tera join to 6 rectified hexatera while the other half joins to 6 other dodecatera. This only leaves room for the opposite rectified hexateron, completing the shape. All the non-base peta span the entire height of the shape. This opposite rectified hexateron has its pentachoral tera joined to other rectified hexatera while its rectified pentachoral tera join to dodecatera. From this perspective, the shape has a height of √216 ≈ 0.763763.

Source: Incidence matrices — bril