# Great enneagrammic-small hendecagrammic duoprism

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

## Coordinates[edit | edit source]

The vertex coordinates of a great enneagrammic-small hendecagrammic duoprism, centered at the origin and with edge length 4sin(4π/9)sin(2π/11), are given by:

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

## External links[edit | edit source]

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

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