The Gyroelongated Pentagonal Pyramid


The gyroelongated pentagonal pyramid is the 11th Johnson solid (J11). It has 11 vertices and 16 faces (15 equilateral triangles and 1 pentagon).

The gyroelongated
pentagonal pyramid

The gyroelongated pentagonal pyramid can be constructed by attaching a pentagonal pyramid to a pentagonal antiprism. It can also be constructed by deleting a single vertex from the icosahedron, and so can also be called the mono­diminished icosahedron.

Projections

Here are some views of the gyroelongated pentagonal pyramid from various angles:

Projection Envelope Description
Regular decagon

Top view.

Pentagon

Side view.

Pentagon

Front view.

Coordinates

The Cartesian coordinates of the gyroelongated pentagonal pyramid with edge length 2 are:

where

A=√((5+√5)/10)
B=√((10+2√5)/5)
C=√((5-√5)/10)
D=√((5+2√5)/5)
φ=(1+√5)/2

Last updated 08 Apr 2018.

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