"Tetracube" redirects here. For the four-dimensional object, see tesseract.
All 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in totalA puzzle involving arranging nine L tricubes into a 3×3×3 cube
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. 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.[1]
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...
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...
A. (ed.). "Sequence A000162 (Number of 3-dimensional polyominoes (or polycubes) with n cells.)". The On-Line Encyclopedia of Integer Sequences. OEIS...
joined along congruent faces. Joining cubes in this way produces the polycubes, and joining tetrahedrons in this way produces the polytetrahedrons. 2-dimensional...
examples. Squares: The cube is the only convex example. Other examples (the polycubes) can be obtained by joining cubes together, although care must be taken...
perspective is that of looking down into a three-dimensional rectangular pit. Polycube blocks of various shapes appear, one at a time, and fall slowly toward...
Polyominoes have been generalized to higher dimensions by joining cubes to form polycubes, or hypercubes to form polyhypercubes. In statistical physics, the study...
mesh to conform to the input; see Automatic Hex-Mesh Generation based on polycube. Another direct method is to cut the structured cells by the domain boundary;...
diabolical cube is a three-dimensional dissection puzzle consisting of six polycubes (shapes formed by gluing cubes together face to face) that can be assembled...
how it can be used to solve puzzles 1972 Sep Pleasurable problems with polycubes, and the winning strategy for Slither 1972 Oct Why the long arm of coincidence...
also produced hands-on teaching materials including workbooks for the polycube. He also drew upon insights into pedagogy in the writings of Mary Boole...
disjoint tripods in a three-dimensional grid, where a tripod is an infinite polycube, the union of the grid cubes along three positive axis-aligned rays with...
contemporary artists". The Art Directors of Philadelphia awarded him the Polycube Award for "consistent excellence in communications". The City of Milan...
of scientific advances in fields as diverse as musical similarity,[MMS] polycube unfolding,[CUP] computational archaeology,[WBT] and protein folding. Langerman's...
analogue of a polyiamond. Polytetrahedra and polyiamonds are related as polycubes are related to polyominoes. In origami, a polypolyhedron is "a compound...
19th centuries. His "Haüy construction" approximates an octahedron as a polycube, formed by accreting concentric layers of cubes onto a central cube. The...
rectangular cuboid. The Herzberger Quader consists of a set of all possible polycubes from dicube to tetracubes. The eleven pieces together have 40 unit cubes...
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