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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 three lengths.
Burr puzzles. 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 ...
Rubik's Bricks, [7] a puzzle produced under the Rubik's branding, is a similar puzzle made of 27 cubes, but the pieces are formed by joining cubes either by faces or by edges. There are exactly 9 such ways to join three cubes, so the puzzle can make a 3x3x3 cube. The individual cubes are colored in such a way as to give a unique solution.
The puzzle is studied by D. E. Knuth in an article on estimating the running time of exhaustive search procedures with backtracking. [2] Every position of the puzzle can be solved in eight moves or less. [3] The first known patented version of the puzzle was created by Frederick Alvin Schossow in 1900, and marketed as the Katzenjammer puzzle. [4]
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 possible placement for the three 1×1×3 blocks – the vertical block has corners touching corners of the two horizontal blocks The solution of the Conway puzzle is straightforward once one realizes, based on parity considerations, that the three 1 × 1 × 3 blocks need to be placed so that precisely one of them appears in each 5 × 5 × 1 slice of the cube. [2]