sentences:  The variety comes from various ways of forming the polyhedron that provides a base for the points—using an octagonal face instead of a square face, for example.The common original Herrnhut Moravian star becomes a 50-point star when the squares and triangles that normally make up the faces of the polyhedron become octagons and hexagons.This leaves a 4-sided trapezoidal hole in the corners of the faces which is then filled with an irregular four sided point.