# Small hendecagrammic-hendecagrammic duoprism

(Redirected from 11/3-11/2 duoprism)

Jump to navigation
Jump to search

The **small hendecagrammic-hendecagrammic duoprism**, also known as the **11/2-11/3 duoprism**, is a uniform duoprism that consists of 11 small hendecagrammic prisms and 11 hendecagrammic prisms, with 2 of each meeting at each vertex.

The name can also refer to the small hendecagrammic duoprism, the small hendecagrammic-great hendecagrammic duoprism, or the small hendecagrammic-grand hendecagrammic duoprism.

## Coordinates[edit | edit source]

The vertex coordinates of a small hendecagrammic-hendecagrammic duoprism, centered at the origin and with edge length 4sin(2π/11)sin(3π/11), are given by:

- (2sin(3π/11), 0, 2sin(2π/11), 0),
- (2sin(3π/11), 0, sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11), 0, 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11), 0, 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11), 0, 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11), 0, 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), 2sin(2π/11), 0),
- (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11)cos(2π/11), ±2sin(3π/11)sin(2π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), 2sin(2π/11), 0),
- (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11)cos(4π/11), ±2sin(3π/11)sin(4π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), 2sin(2π/11), 0),
- (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11)cos(6π/11), ±2sin(3π/11)sin(6π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), 2sin(2π/11), 0),
- (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11)cos(8π/11), ±2sin(3π/11)sin(8π/11), 2sin(2π/11)cos(10π/11), ±2sin(2π/11)sin(10π/11)),
- (2sin(3π/11)cos(10π/11), ±2sin(3π/11)sin(10π/11), 2sin(2π/11), 0),
- (2sin(3π/11)cos(10π/11), ±2sin(3π/11)sin(10π/11), sin(4π/11), ±2sin
^{2}(2π/11)), - (2sin(3π/11)cos(10π/11), ±2sin(3π/11)sin(10π/11), 2sin(2π/11)cos(4π/11), ±2sin(2π/11)sin(4π/11)),
- (2sin(3π/11)cos(10π/11), ±2sin(3π/11)sin(10π/11), 2sin(2π/11)cos(6π/11), ±2sin(2π/11)sin(6π/11)),
- (2sin(3π/11)cos(10π/11), ±2sin(3π/11)sin(10π/11), 2sin(2π/11)cos(8π/11), ±2sin(2π/11)sin(8π/11)),
- (2sin(3π/11)cos(10π/11), ±2sin(3π/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".

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