Rectified heptapeton

The rectified heptapeton, also known by its OBSA ril, Coxeter symbol 0₄₁, is a uniform polypeton that is the rectification of the heptapeton, composed of 7 rectified hexatera and 7 hexatera. Its vertex figure is a pentachoral prism. It has a circumradius of √357 ≈ 0.845154.

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

Structure

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

Source: Incidence matrices — ril