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Pocket cube with one layer partially turned. The group theory of the 3×3×3 cube can be transferred to the 2×2×2 cube. [3] The elements of the group are typically the moves of that can be executed on the cube (both individual rotations of layers and composite moves from several rotations) and the group operator is a concatenation of the moves.
A combination puzzle, also known as a sequential move puzzle, is a puzzle which consists of a set of pieces which can be manipulated into different combinations by a group of operations. Many such puzzles are mechanical puzzles of polyhedral shape, consisting of multiple layers of pieces along each axis which can rotate independently of each ...
A jigsaw puzzle (with context, sometimes just jigsaw or just puzzle) is a tiling puzzle that requires the assembly of often irregularly shaped interlocking and mosaicked pieces. Typically each piece has a portion of a picture, which is completed by solving the puzzle. In the 18th century, jigsaw puzzles were created by painting a picture on a ...
Hoffman's packing puzzle, disassembled. Hoffman's packing puzzle is an assembly puzzle named after Dean G. Hoffman, who described it in 1978. [1] The puzzle consists of 27 identical rectangular cuboids, each of whose edges have three different lengths. Its goal is to assemble them all to fit within a cube whose edge length is the sum of the ...
A burr puzzle is an interlocking puzzle consisting of notched sticks, combined to make one three-dimensional, usually symmetrical unit. These puzzles are traditionally made of wood, but versions made of plastic or metal can also be found. Quality burr puzzles are usually precision-made for easy sliding and accurate fitting of the pieces.
Similar to Soma cube is the 3D pentomino puzzle, which can fill boxes of 2×3×10, 2×5×6 and 3×4×5 units. The Bedlam cube is a 4×4×4 sided cube puzzle consisting of twelve pentacubes and one tetracube. The Diabolical cube is a puzzle of six polycubes that can be assembled together to form a single 3×3×3 cube.
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Klotski. In a Klotski puzzle, the largest block must be moved to the bottom middle location so that it can be slid over the border, without any of the other blocks being removed in this way. Klotski (from Polish: klocki, lit. 'wooden blocks') is a sliding block puzzle thought to have originated in the early 20th century.
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