# Enneagonal-hendecagonal duoprism

(Redirected from Ehendip)

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The **enneagonal-hendecagonal duoprism** or **ehendip**, also known as the **9-11 duoprism**, is a uniform duoprism that consists of 9 hendecagonal prisms and 11 enneagonal prisms, with two ofe each joining at each vertex.

## Vertex coordinates[edit | edit source]

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

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

## External links[edit | edit source]

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