Compound of five truncated cubes

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of

: (±(2+{{radic|2}}), ±{{radic|2}}, ±(2+{{radic|2}}))

: (±τ, ±(τ⁻¹+τ⁻¹{{radic|2}}), ±(2τ−1+τ{{radic|2}}))

: (±1, ±(τ⁻²−τ⁻¹{{radic|2}}), ±(τ²+τ{{radic|2}}))

: (±(1+{{radic|2}}), ±(−τ⁻²−{{radic|2}}), ±(τ²+{{radic|2}}))

: (±(τ+τ{{radic|2}}), ±(−τ⁻¹), ±(2τ−1+τ⁻¹{{radic|2}}))

where τ = (1+{{radic|5}})/2 is the golden ratio (sometimes written φ).

• {{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|issue=3|pages=447–457|year=1976|doi=10.1017/S0305004100052440|bibcode=1976MPCPS..79..447S |mr=0397554|s2cid=123279687 }}.

Category:Polyhedral compounds

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