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If the three lengths of the block edges are x, y, and z, then the cube should have edge length x + y + z. Although the puzzle can be constructed with any three different edge lengths, it is most difficult when the three edge lengths of the blocks are close enough together that x + y + z < 4 min(x,y,z), as this prevents alternative solutions in ...
The Universal Book of Mathematics provides the following information about Altekruse puzzle: [2] [3] A symmetrical 12-piece burr puzzle for which a patent was granted to William Altekruse in 1890. The Altekruse family is of Austrian-German origin and, curiously, the name means "old cross" in German, which has led some authors to incorrectly ...
Wire puzzles, or nail puzzles consist of two or more entangled pieces of more or less stiff wire, metal rods, or bent nails. The pieces may or may not be closed loops. The closed pieces might be simple rings or have more complex shapes. Normally the puzzle must be solved by disentangling the two pieces without bending or cutting the wires. [10]
A pentacube puzzle or 3D pentomino puzzle, amounts to filling a 3-dimensional box with the 12 flat pentacubes, i.e. cover it without overlap and without gaps. Since each pentacube has a volume of 5 unit cubes, the box must have a volume of 60 units. Possible sizes are 2×3×10 (12 solutions), 2×5×6 (264 solutions) and 3×4×5 (3940 solutions ...
Each puzzle piece is a 12-polydrafter (dodecadrafter) made of twelve 30-60-90 triangles (that is, a continuous compound of twelve halves of equilateral triangles, restricted to the grid layout). Each piece has an area equal to that of 6 equilateral triangles, and the area of the entire dodecagon is exactly 209 * 6 = 1254 equilateral triangles ...
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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.
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