# Great enneagrammic-hendecagonal duoprism

Jump to navigation
Jump to search

The **great enneagrammic-hendecagonal duoprism**, also known as the **9/4-11 duoprism**, is a uniform duoprism that consists of 11 great enneagrammic prisms and 9 hendecagonal prisms, with 2 of each meeting at each vertex.

## Vertex coordinates[edit | edit source]

The coordinates of a great enneagrammic-hendecagonal duoprism, centered at the origin and with edge length 4sin(4π/9)sin(π/11), are given by:

- (2sin(4π/9), 0, 2sin(π/11), 0),
- (2sin(4π/9), 0, 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9), 0, 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9), 0, –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9), 0, 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)),
- (2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11), 2sin(π/11), 0),
- (2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11), 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11), 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11), –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11), 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)),
- (2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11), 2sin(π/11), 0),
- (2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11), 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11), 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11), –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11), 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)),
- (2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11), 2sin(π/11), 0),
- (2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11), 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11), 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11), –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11), 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)),
- (2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11), 2sin(π/11), 0),
- (2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11), 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11), 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11), –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11), 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)),
- (2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11), 2sin(π/11), 0),
- (2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11), 2sin(π/11)cos(2π/9), ±2sin(π/11)sin(2π/9)),
- (2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11), 2sin(π/11)cos(4π/9), ±2sin(π/11)sin(4π/9)),
- (2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11), –sin(π/11), ±sin(π/11)√3),
- (2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11), 2sin(π/11)cos(8π/9), ±2sin(π/11)sin(8π/9)).

## External links[edit | edit source]

- Bowers, Jonathan. "Category A: Duoprisms".

This article is a stub. You can help Polytope Wiki by expanding it. |