41. For example, there are 11 for the cube, and over 900000 for the dodecahedron . 42. A Roman icosahedron has also come to light after having long been misclassified as a dodecahedron . 43. He developed a technique that proved Steiner s conjecture for the cube and for the dodecahedron . 44. It shares its vertex arrangement with the small stellated truncated dodecahedron and the 12 pentagrammic prisms. 45. It is based on regular dodecahedron . 46. The rhombic dodecahedron , which permutohedron. 47. The video features a white dodecahedron in a dark room, where Sakanaction are playing inside. 48. Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. 49. These all have icosahedral symmetry and may be obtained as stellations of the dodecahedron and the icosahedron. 50. It shares its vertex arrangement with the truncated great dodecahedron , and with the 12 pentagonal prisms.