This
uniform polyhedron compound
In geometry, a uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra, in an arrangement that is also uniform, i.e. the symmetry group of the compound acts tran ...
is a composition of 5
stellated truncated hexahedra, formed by star-truncating each of the cubes in the
compound of 5 cubes.
Cartesian coordinates
Cartesian coordinates
A Cartesian coordinate system (, ) in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in t ...
for the vertices of this compound are all the cyclic permutations of
: (±(2−), ±, ±(2−))
: (±φ, ±(φ
−1−φ
−1), ±(2φ−1−φ))
: (±1, ±(φ
−2+φ
−1), ±(φ
2−φ))
: (±(1−), ±(−φ
−2+), ±(φ
2−))
: (±(φ−φ), ±(−φ
−1), ±(2φ−1−φ
−1))
where φ = (1+)/2 is the
golden ratio.
References
*.
Polyhedral compounds
{{polyhedron-stub