# Hendecagonal-dodecagrammic duoprism

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The **hendecagonal-dodecagrammic duoprism**, also known as the **11-12/5 duoprism**, is a uniform duoprism that consists of 12 hendecagonal prisms and 11 dodecagrammic prisms, with 2 of each meeting at each vertex.

## Vertex coordinates[edit | edit source]

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

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

## External links[edit | edit source]

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

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