Vertex Figure - An Example Vertex Figure of A Honeycomb

An Example Vertex Figure of A Honeycomb

The vertex figure of a truncated cubic honeycomb is a nonuniform square pyramid. One octahedron and four truncated cubes meet at each vertex form a space-filling tessellation.

Vertex figure: A nonuniform square pyramid
Schlegel diagram
Perspective
Created as a square base from an octahedron
(3.3.3.3)
And four isosceles triangle sides from truncated cubes
(3.8.8)

Read more about this topic:  Vertex Figure

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