Concept
Disphenocingulum
In geometry, the disphenocingulum or pentakis elongated gyrobifastigium is one of the Johnson solids (J_90). It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids. Let a ≈ 0.76713 be the second smallest positive root of the polynomial and and . Then, Cartesian coordinates of a disphenocingulum with edge length 2 are given by the union of the orbits of the points under the action of the group generated by reflections about the xz-plane and the yz-plane.
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