Triangular octagoltriate (no ontology)

From Higher Dimensions Database

The triangular octagoltriate is a powertope formed by taking the octagon of the triangle. It is therefore the convex hull of two ditriangular duoprisms, each being the duoprism of triangles of side 1 and 1+√2, oriented in opposite axes.

Cells

The triangular octagoltriate has the following cells:

• 6× prism of side 1+√2 and end equilateral triangle of side 1
• 9× antifrustoid of base rectangle of sides 1 and 1+√2 and unknown height

Faces

The triangular octagoltriate has the following faces:

• 6× equilateral triangle of side 1
• 18× rectangle of sides 1 and 1+√2
• 18× trapezium of base 1+√2, height √3 and apex ½√6+√3