Noun
(geometry) A geometric figure formed by connecting, with straight lines, every vertex of a p-sided regular polygon to the qth vertex beyond it (proceeding, consistently, either clockwise or anticlockwise).
Synonym: regular star polygon
Any such geometrical figure, or any of certain other types of figure of similar appearance whose general construction is not formally defined.
Source: en.wiktionary.orgStar bipyramids Self-intersecting bipyramids exist with a star polygon central figure, defined by triangular faces connecting each polygon edge to these two points. Source: Internet
Some retrograde star antiprisms with regular star polygon bases cannot be constructed with equal edge lengths, so are not uniform polyhedra. Source: Internet