The Octagonal Prism


The octagonal prism is a 3D uniform polyhedron bounded by 2 octagonal faces and 8 squares. It has 24 edges and 16 vertices. It may be considered to be the extrusion of the octagon.

The octagonal
prism

Projections

In order to be able to identify the octagonal 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 octagon

Octagon-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 octagonal prism, centered on the origin and having edge length 2, are:

Occurrences

The octagonal prism occurs in the following uniform polychora:

It also occurs in a number of CRF polychora, including (but by no means limited to) the following:


Last updated 04 Feb 2013.

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