MathDBMcMullen–Shephard conjecture on projectively unique 4-polytopes
McMullen–Shephard conjecture on projectively unique 4-polytopes
A polytope is projectively unique if every combinatorially equivalent realization is projectively equivalent to it. Shephard's list consists of combinatorial types of projectively unique -polytopes.
McMullen–Shephard conjecture. Every projectively unique -polytope is accounted for in Shephard's list of combinatorial types of projectively unique -polytopes.
The conjecture concerns the classification of projectively unique -polytopes and is presented by the source without a resolution.
Sources & referencesView supporting material
Primary source
Karim Alexander Adiprasito, “Methods from Differential Geometry in Polytope Theory”, arXiv:1403.2657 (2014).
Additional references
2 papers in this index state this conjecture (2012–2014). The statement above is taken from the most recent of them; the others are arXiv:1212.5812.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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