# Great enneagrammic-hendecagrammic duoprism

Revision as of 22:20, 7 December 2020 by The New Kid (talk | contribs) (Created page with "{{Infobox polytope |dim=4 |type=Uniform |obsa= |img= |off=auto |coxeter=x9/4o x11/3o |symmetry=I2(9)×I2(11), order 396 |army=Semi-uniform ehendip |reg= |verf=Digona...")

The **great enneagrammic-hendecagrammic duoprism**, also known as the **9/4-11/3 duoprism**, is a uniform duoprism that consists of 11 great enneagrammic prisms and 9 hendecagrammic prisms, with 2 of each meeting at each vertex.

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

## Coordinates[edit | edit source]

The vertex coordinates of a great enneagrammic-hendecagrammic duoprism, centered at the origin and with edge length 4sin(4π/9)sin(3π/11), are given by:

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

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