![]() Since 2016, the Dice Lab has used the disdyakis triacontahedron to mass market an injection moulded 120 sided die. This shape was used to make d120 dice using 3D printing. It is the most significant unsolved problem in mechanical puzzles. This unsolved problem, often called the "big chop" problem, currently has no satisfactory mechanism. The disdyakis triacontahedron, as a regular dodecahedron with pentagons divided into 10 triangles each, is considered the "holy grail" for combination puzzles like the Rubik's cube. The disdyakis triacontahedron has three types of vertices which can be centered in orthogonally projection: The area in the black circles below corresponds to the frontal hemisphere of the spherical polyhedron. Orthographic projections from 2-, 3- and 5-fold axesĬolored as compound of five octahedra, with 3 great circles for each octahedron. The edges of a compound of five octahedra also represent the 10 mirror planes of icosahedral symmetry. Combining pairs of light and dark triangles define the fundamental domains of the nonreflective ( I) icosahedral symmetry. The edges of the polyhedron projected onto a sphere form 15 great circles, and represent all 15 mirror planes of reflective I h icosahedral symmetry.
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