polycube
Sign in to savethumb|upright|All 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total thumb|right|A puzzle involving arranging nine L tricubes into a 3×3×3 cube
Article
9 sectionsContents
- Enumerating polycubes
- Symmetries of polycubes
- Properties of pentacubes
- Octacube and hypercube unfoldings
- Boundary connectivity
- Dual graph
- See also
- References
- External links
thumb|upright|All 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total thumb|right|A puzzle involving arranging nine L tricubes into a 3×3×3 cube
A polycube is an orthogonal polyhedron formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples of packing problems based on polycubes.