Rolling a die over a fully labeled rectangular board
A rectangular grid board assigns a value from one to six to every cell. Determine the complexity of deciding whether a standard labeled die, from the specified corner and initial orientation, can roll across the board visiting each cell exactly once while its top face always matches the cell label. No free or blocked cells are available.
Inferred from the community field; finer classification has not been reviewed.
Problem statement
A rectangular grid board assigns a value from one to six to every cell. Determine the complexity of deciding whether a standard labeled die, from the specified corner and initial orientation, can roll across the board visiting each cell exactly once while its top face always matches the cell label. No free or blocked cells are available.
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: Rolling a die over a fully labeled rectangular board (inspected 2026-09-09) link
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