English: Coordinates of a regular dodecahedronRight-handed coordinate system with red, green and blue assigned to the same axes
The orange vertices lie at (±1, ±1, ±1) and form a cube (dotted lines).
The red vertices lie at (±ϕ, ±1/ϕ, 0) and form a rectangle on the xy-plane. The green vertices lie at (0, ±ϕ, ±1/ϕ) and form a rectangle on the yz-plane. The blue vertices lie at (±1/ϕ, 0, ±ϕ) and form a rectangle on the xz-plane. (The red, green and blue coordinate triples are circular permutations of each other.)
The distance between adjacent vertices is 2/ϕ, and the distance from the origin to any vertex is √3.
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{{Information |Description={{en|Coordinates of a {{w|regular dodecahedron}} thumb|Right-handed coordinate system with red, green and blue assigned to the same axes The orange vertices lie at (±1, ±1, ±1) and form a cube (dotted lines). The red vertices lie at (±''ϕ'', ±{{sfrac|1|''ϕ''}}, 0) and form a rectangle on the ''xy''-plane.<br> The green vertices lie at (0, ±''ϕ'', ±{{sfrac|1|''ϕ''}}) and form a rectangle on the ''yz''-plane.<b...
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