单词 | Schläfli symbol |
释义 | Schläfli symbol In four dimensions, the symbol {p,q,r} represents that there are r 3-dimensional faces about each edge that are polyhedra with symbol {p,q}. The 4-dimensional regular polytopes are {3,3,3} pentatope, {3,3,4} orthoplex, {4,3,3} tesseract, {3,4,3} octaplex, {5,3,3} dodecaplex, and {3,3,5} tetraplex. Here the tesseract and pentatope are the 4-dimensional hypercube and simplex respectively; in n dimensions, the hypercube and simplex have symbols {4,3,3,…,3} and {3,3,…,3}. |
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