Each member of this infinite family of
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 t ...
s is a symmetric arrangement of
prisms sharing a common axis of rotational symmetry.
This infinite family can be enumerated as follows:
*For each positive integer ''n''≥1 and for each rational number ''p''/''q''>2 (expressed with ''p'' and ''q''
coprime
In number theory, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equiv ...
), there occurs the compound of ''n'' ''p''/''q''-gonal prisms, with symmetry group D
''np''h.
References
*.
Polyhedral compounds
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