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
~6 min read
Encyclopedic overview
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.
Excerpted from Wikipedia’s “polycube” article, available under the CC BY-SA 4.0 licence.