Perhaps the most obvious next step is to investigate 4-polytopes with respect to symmetry equivalence.
Source: wiktionary
4-polytope
Synonyms for "4-polytope" (3 found)
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Closest matches (1)
Noun(1 words)
Strong matches (1)
Noun(1 words)
Related words (1)
Noun(1 words)
Translations
1 translations across 1 languages.
Italian
1 entries- policoro noun (4-dimensional polytope)
Sample sentences
3 total sentences available.
The situation for 4-polytopes is fundamentally different from that for 3-dimensional polytopes. One reason is that there is no similar reduction of 4-polytope theory to a combinatorial (graph) problem.
Source: wiktionary
For d = 4, Hamiltonian cycles in the regular 4-polytopes are known to exist. However, it seems that so far no decision about the existence or non-existence of 1-Hamiltonian surfaces in the 2-skeleton of any of the three sporadic regular 4-polytopes can be made, compare [120].
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.