Hamiltonian tetrahedralizations of convex three-polytopes
Does every convex polytope in admit a tetrahedralization using its vertices and no Steiner points whose dual graph has a Hamiltonian path? Dual vertices represent tetrahedra and dual edges represent shared triangular faces.
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Does every convex polytope in admit a tetrahedralization using its vertices and no Steiner points whose dual graph has a Hamiltonian path? Dual vertices represent tetrahedra and dual edges represent shared triangular faces.
Lean 4
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Background
Editorial selection inspected on 9 September 2026. Current research status has not been independently reassessed; consult the original source and subsequent literature.
- [1]The Open Problems Project — Computational geometry: Hamiltonian tetrahedralizations of convex three-polytopes (inspected 2026-09-09) link
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