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Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of antiprisms , and rotating each copy by an equal and opposite angle.
This infinite family can be enumerated as follows:
Where p/q=2 the component is a tetrahedron, sometimes not considered a true antiprism.
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