In geometry, the disphenocingulum is a Johnson solid with 20 equilateral triangles and 4 squares as its faces.

Properties

The disphenocingulum is named by . The prefix dispheno- refers to two wedgelike complexes, each formed by two adjacent lunesa figure of two equilateral triangles at the opposite sides of a square. The suffix -cingulum, literally 'belt', refers to a band of 12 triangles joining the two wedges. The resulting polyhedron has 20 equilateral triangles and 4 squares, making 24 faces.. All of the faces are regular, categorizing the disphenocingulum as a Johnson solida convex polyhedron in which all of its faces are regular polygon.. It is an elementary polyhedron, meaning that it cannot be separated by a plane into two small regular-faced polyhedra.

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Cartesian coordinates

be the second smallest positive root of the polynomial. Then, the Cartesian coordinates under the action of the group generated by reflections about the xz-plane and the yz-plane.

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