# Decagrammic-small hendecagrammic duoprism

(Redirected from 10/3-11/2 duoprism)

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The **decagrammic-small hendecagrammic duoprism**, also known as the **10/3-11/2 duoprism**, is a uniform duoprism that consists of 11 decagrammic prisms and 10 small hendecagrammic prisms, with 2 of each meeting at each vertex.

## Coordinates[edit | edit source]

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

- (±sin(2π/11), ±sin(2π/11)√5–2√5, 1, 0),
- (±sin(2π/11), ±sin(2π/11)√5–2√5, cos(2π/11), ±sin(2π/11)),
- (±sin(2π/11), ±sin(2π/11)√5–2√5, cos(4π/11), ±sin(4π/11)),
- (±sin(2π/11), ±sin(2π/11)√5–2√5, cos(6π/11), ±sin(6π/11)),
- (±sin(2π/11), ±sin(2π/11)√5–2√5, cos(8π/11), ±sin(8π/11)),
- (±sin(2π/11), ±sin(2π/11)√5–2√5, cos(10π/11), ±sin(10π/11)),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, 1, 0),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, cos(2π/11), ±sin(2π/11)),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, cos(4π/11), ±sin(4π/11)),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, cos(6π/11), ±sin(6π/11)),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, cos(8π/11), ±sin(8π/11)),
- (±sin(2π/11)(3–√5)/2, ±sin(2π/11)√(5–√5)/2, cos(10π/11), ±sin(10π/11)),
- (±sin(2π/11)(√5–1), 0, 1, 0),
- (±sin(2π/11)(√5–1), 0, cos(2π/11), ±sin(2π/11)),
- (±sin(2π/11)(√5–1), 0, cos(4π/11), ±sin(4π/11)),
- (±sin(2π/11)(√5–1), 0, cos(6π/11), ±sin(6π/11)),
- (±sin(2π/11)(√5–1), 0, cos(8π/11), ±sin(8π/11)),
- (±sin(2π/11)(√5–1), 0, cos(10π/11), ±sin(10π/11)).

## External links[edit | edit source]

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

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