A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes...

and pentominoes, are a particular type of polyomino. The corresponding polycube, called a tetracube, is a geometric shape composed of four cubes connected...

constructed with six square pyramids, tiling space by attaching their apices. Polycube is a polyhedron in which the faces of many cubes are attached. Analogously...

Unlike in three dimensions in which distances between vertices of a polycube with unit edges excludes √7 due to Legendre's three-square theorem, Lagrange's...

The Dancing Links algorithm solving a polycube puzzle...

240 possible solutions by hand in 1961. The seven Soma pieces are six polycubes of order four, and one of order three: Piet Hein authorized a finely crafted...

sets, each of which consists only of a single rectangle. A pentacube is a polycube of five cubes. Of the 29 pentacubes, exactly twelve pentacubes are flat...

joined along congruent faces. Joining cubes in this way produces the polycubes, and joining tetrahedrons in this way produces the polytetrahedrons. 2-dimensional...

Polyominoes have been generalized to higher dimensions by joining cubes to form polycubes, or hypercubes to form polyhypercubes. In statistical physics, the study...

Hexomino Heptomino Octomino Nonomino Decomino Higher dimensions Polyominoid Polycube Others Polyabolo Polydrafter Polyhex Polyiamond Pseudo-polyomino Polystick...