The Decagonal Prism


The decagonal prism is a 3D uniform polyhedron bounded by 2 decagonal faces and 10 squares. It has 30 edges and 20 vertices. It may be considered to be the extrusion of the decagon.

The decagonal
prism

Projections

In order to be able to identify the decagonal prism in various projections of 4D objects, it is useful to know how it appears from various viewpoints. The following are some of the commonly-encountered views:

Projection Envelope Description
Regular decagon

Decagon-centered parallel projection.

Rectangle

Parallel projection centered on a vertical edge.

Rectangle

Square-centered parallel projection.

Decagon

Vertex-centered parallel projection.

Coordinates

The Cartesian coordinates of the decagonal prism, centered on the origin and having edge length 2, are all changes of sign of:

where φ=(1+√5)/2 is the Golden Ratio.

Occurrences

The decagonal prism occurs in the following uniform polychora:


Last updated 29 May 2014.

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