# Pentagrammic-grand hendecagrammic duoprism

(Redirected from 5/2-11/5 duoprism)

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

## Vertex coordinates[edit | edit source]

The coordinates of a pentagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by:

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

## External links[edit | edit source]

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

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