# Tridecagonal duoprism

Tridecagonal duoprism
File:13-13-dip.png
Rank4
TypeUniform
SpaceSpherical
Notation
Coxeter diagramx13o x13o
Elements
Cells26 tridecagonal prisms
Faces169 squares, 26 tridecagons
Edges338
Vertices169
Vertex figureTetragonal disphenoid, edge lengths 2cos(π/13) (bases) and 2 (sides)
Measures (edge length 1)
Circumradius$\frac{\sqrt2}{2\sin\frac{\pi}{13}} ≈ 2.95470$ Inradius$\frac{1}{2\tan\frac{\pi}{13}}≈ 2.02858$ Hypervolume\frac{169}{16\tan^@\frac{\pi}{13
Related polytopes
≈ 173.86449[/itex]

|dich=13p–13–13p: $\frac{11\pi}{13} ≈ 147.27273°$ |dich2=13p–4–13p: 90° |dual=Tridecagonal duotegum |conjugate=Small tridecagrammic duoprism, tridecagrammic duoprism, medial tridecagrammic duoprism, great tridecagrammic duoprism, grand tridecagrammic duoprism |conv=Yes |orientable=Yes |nat=Tame}} The tridecagonal duoprism or taddip, also known as the tridecagonal-tridecagonal duoprism, the 13 duoprism or the 13-13 duoprism, is a noble uniform duoprism that consists of 26 tridecagonal prisms and 169 vertices. It is also the 26-12 gyrochoron. It is the first in an infinite family of isogonal tridecagonal dihedral swirlchora and also the first in an infinite family of isochoric tridecagonal hosohedral swirlchora.