Birectified octæxon

The birectified octaexon, also known by its OBSA broc, Coxeter symbol 0₄₂, is a uniform polyexon that is the birectification of the octaexon, composed of 8 rectified heptapeta and 8 birectified heptapeta. Its vertex figure is a triangular-pentachoral duoprism. It has a circumradius of √154 ≈ 0.968246.

It appears as the vertex figure of the 1₄₂ polyzetton.

Structure

Beginning from a birectified heptapeton, half of its rectified hexateral peta join to 7 rectified heptapeta while the other half join to 7 other birectified heptapeta. This only leaves room for the opposite rectified heptapeton, completing the shape. All the non-base exa span the entire height of the shape. This opposite rectified heptapeton has its hexateral peta joined to other rectified heptapeta while its rectified hexateral peta join to birectified heptapeta. From this perspective, the shape has a height of 2√77 ≈ 0.755929.

Source: Incidence matrices — broc