Definition of Orthoschemes. Meaning of Orthoschemes. Synonyms of Orthoschemes

- 3-orthoschemes, three left-handed and three right-handed (one of each at each cube face), and cubes can fill space, so the characteristic 3-orthoscheme...
- these characteristic orthoschemes surrounding the octahedron's center. Three left-handed orthoschemes and three right-handed orthoschemes meet in each of the...
- edge. The 4-cube can be dissected into 24 such 4-orthoschemes eight different ways, with six 4-orthoschemes surrounding each of four orthogonal √4 tesseract...
- Hugo Hadwiger that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex...
- Sydler and Børge Jessen studied orthoschemes extensively in connection with Hilbert's third problem. Orthoschemes, also called path-simplices in the...
- necessary to contain the original Hadwiger's conjecture on dissection into orthoschemes Hadwiger–Nelson problem on the chromatic number of unit distance graphs...
- its symmetry group F4, by reflection of that 4-orthoscheme in its own cells (which are 3-orthoschemes). The 24-cell is not only the 24-octahedral-cell...
- regular polytope can be radially subdivided into identical characteristic orthoschemes which meet at its center. All polytopes can be radially triangulated...
- bounded by regular tetrahedron cells, their characteristic 5-cells (4-orthoschemes) are different tetrahedral pyramids, all based on the same characteristic...
- tesseract into instances of its characteristic simplex (a particular orthoscheme with Coxeter diagram ) is the most basic direct construction of the tesseract...