# Hendecagonal-small hendecagrammic duoprism

(Redirected from 11-11/2 duoprism)

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

## Vertex coordinates[edit | edit source]

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

- (2sin(π/11), 0, 2sin(2π/11), 0),
- (2sin(π/11), 0, sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11), 0, 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11), 0, 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11), 0, 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11), 0, 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), 2sin(2π/11), 0),
- (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11)cos(2π/11), ±2sin(π/11)sin(2π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), 2sin(2π/11), 0),
- (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11)cos(4π/11), ±2sin(π/11)sin(4π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), 2sin(2π/11), 0),
- (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11)cos(6π/11), ±2sin(π/11)sin(6π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), 2sin(2π/11), 0),
- (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11)cos(8π/11), ±2sin(π/11)sin(8π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), 2sin(2π/11), 0),
- (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(π/11)cos(10π/11), ±2sin(π/11)sin(10π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)).

## External links[edit | edit source]

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

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