Vertex Figure
The vertex figure of the grand antiprism is a dissected regular icosahedron: a regular icosahedron with two vertices removed. In their place 8 triangles are replaced by a pair of trapezoids, edge lengths φ, 1, 1, 1 (where φ is the golden ratio), joined together along their edge of length φ, to give a tetradecahedron whose faces are the 2 trapezoids and the 12 remaining equilateral triangles.
12 (3.3.3) |
2 (3.3.3.5) |
Dissected regular icosahedron |
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“And they lie like wedges,
Thick end to thin end and thin end to thick end,
And are a figure of the way the strong
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One thick where one is thin and vice versa.”
—Robert Frost (1874–1963)
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