Pyraminx Solved
The Pyraminx () is a regular tetrahedron puzzle in the style of Rubik's Cube. It was made and patented by Uwe Mèffert after the original 3 layered Rubik's Cube by Ernő Rubik, and introduced by Tomy, Tomy Toys of Japan (then the 3rd largest toy company in the world) in 1981. Optimal solutions The maximum number of twists required to solve the Pyraminx is 11. There are 933,120 different positions (disregarding the trivial rotation of the tips), a number that is sufficiently small to allow a computer search for optimal solutions. The table below summarizes the result of such a search, stating the number ''p'' of positions that require ''n'' twists to solve the Pyraminx:Pyraminx - Jaap's Puzzle Page : Records The world record single solve is 0.73 seconds, set by Simon Kellum of the United States at Middleton Meetup Thu ...[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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GAP Computer Algebra System
GAP ( Groups, Algorithms and Programming) is an open source computer algebra system for computational discrete algebra with particular emphasis on computational group theory. History GAP was developed at Lehrstuhl D für Mathematik (LDFM), Rheinisch-Westfälische Technische Hochschule Aachen, Germany from 1986 to 1997. After the retirement of Joachim Neubüser from the chair of LDFM, the development and maintenance of GAP was coordinated by the School of Mathematical and Computational Sciences at the University of St Andrews, Scotland. In the summer of 2005 coordination was transferred to an equal partnership of four 'GAP Centres', located at the University of St Andrews, RWTH Aachen, Technische Universität Braunschweig, and Colorado State University at Fort Collins; in April 2020, a fifth GAP Centre located at the TU Kaiserslautern was added. Features GAP contains a procedural programming language and a large collection of functions to create and manipulate various mathem ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dogic
The Dogic () is an icosahedron-shaped puzzle like the Rubik's Cube. The 5 triangles meeting at its tips may be rotated, or 5 entire faces (including the triangles) around the tip may be rotated. It has a total of 80 movable pieces to rearrange, compared to the 20 pieces in the Rubik's Cube. History The Dogic was patented by Zsolt and Robert Vecsei in Hungary on 20 October 1993. The patent was granted 28 July 1998 (HU214709). It was originally sold by VECSO in two variants under the names "Dogic" and "Dogic 2", but was only produced in quantities far short of the demand. In 2004, Uwe Mèffert acquired the plastic molds from its original manufacturer at the request of puzzle fans and collectors worldwide, and made another production run of the Dogics. These Dogics were first shipped in January 2005, and are now being sold by Meffert in his puzzle shop, ''Meffert's'' until September 2010 when the lack of interest for Meffert's Dogics made Uwe Meffert stop his Dogic productio ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Megaminx
The Megaminx or Mégaminx (, ) is a dodecahedron-shaped puzzle similar to the Rubik's Cube. It has a total of 50 movable pieces to rearrange, compared to the 20 movable pieces of the Rubik's Cube. History The Megaminx, or Magic Dodecahedron, was invented by several people independently and produced by several different manufacturers with slightly different designs. Uwe Mèffert eventually bought the rights to some of the patents and continues to sell it in his puzzle shop under the Megaminx moniker. It is also known by the name Hungarian Supernova, invented by Dr. Christoph Bandelow. His version came out first, shortly followed by Mèffert's Megaminx. The proportions of the two puzzles are slightly different. The Supernova is cut in such a way that the cuts on each face meet at the edges, forming a pentagram. Mèffert's Megaminx has somewhat wider edges relative to the corners. Speed-solving the Megaminx became an official World Cube Association event in 2003, with t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Skewb
The Skewb () is a combination puzzle and a mechanical puzzle similar to the Rubik's Cube. It was invented by Tony Durham and marketed by Uwe Mèffert. Although it is cubical, it differs from the typical cubes' construction; its axes of rotation pass through the corners of the cube, rather than the centers of the faces. There are four axes, one for each space diagonal of the cube. As a result, it is a ''deep-cut'' puzzle in which each twist affects all six faces. Mèffert's original name for this puzzle was the ''Pyraminx Cube'', to emphasize that it was part of a series including his first tetrahedral puzzle, the Pyraminx. The name Skewb was coined by Douglas Hofstadter in his '' Metamagical Themas'' column. Mèffert liked the new name enough to apply it to the Pyraminx Cube, and he also named some of his other puzzles after it, such as the Skewb Diamond. In December 2013, the Skewb was recognized as an official World Cube Association competition event. Mechanism The Sk ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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V-Cube 8
The V-Cube 8 is an 8×8×8 version of the Rubik's Cube. Unlike the original puzzle (but like the 4×4×4 and 6×6×6 cubes), it has no fixed centers: the center facets (36 per face) are free to move to different positions. The design was covered by Panagiotis Verdes' patent from 2007 but Verdes Innovations SA did not produce it for sale until 2014. Other manufacturers released their own versions of the puzzle much earlier. Methods for solving the 3×3×3 cube work for the edges and corners of the 8×8×8 cube, as long as one has correctly identified the relative positions of the colors — since the center facets can no longer be used for identification. Mechanics The puzzle consists of 296 pieces ("Cubies") on the surface. There are also 84 movable pieces entirely hidden within the interior of the cube, as well as six fixed pieces attached to the central "spider" frame. The V-Cube 9 uses essentially the same mechanism, except that on the latter these hidden pieces (c ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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V-Cube 7
The V-Cube 7 is a combination puzzle in the form of a 7×7×7 cube. The first mass-produced 7×7×7 was invented by Panagiotis Verdes and is produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a number of Chinese companies, some of which have mechanisms which improve on the original. Like the 5×5×5, the V-Cube 7 has both fixed and movable center facets. Mechanics The puzzle consists of 218 unique miniature cubes ("cubies") on the surface. Six of these (the central tiles of the six faces) are attached directly to the internal "spider" frame and are fixed in position relative to one another. The V-Cube 6 uses essentially the same mechanism, except that on the latter the central rows, which hold the rest of the pieces together, are completely hidden. There are 150 center pieces which show one color each, 60 edge pieces which show two colors each, and eight corner pieces which show three colors each. Each piece (or quintet ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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V-Cube 6
The V-Cube 6 is a 6×6×6 version of the original Rubik's Cube. The first mass-produced 6×6×6 was invented by Panagiotis Verdes and is produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a number of Chinese companies, most of which have mechanisms which improve on the original. Unlike the original puzzle (but like the 4×4×4 cube), it has no fixed facets: the center facets (16 per face) are free to move to different positions. Methods for solving the 3×3×3 cube work for the edges and corners of the 6×6×6 cube, as long as one has correctly identified the relative positions of the colors — since the center facets can no longer be used for identification. Mechanics The puzzle consists of 152 pieces ("cubies") on the surface. There are also 66 pieces (60 movable, 6 fixed, and a central "spider" frame) entirely hidden within the interior of the cube. The V-Cube 7 uses essentially the same mechanism, except that o ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Professor's Cube
The Professor's Cube (also known as the 5×5×5 Rubik's Cube and many other names, depending on manufacturer) is a 5×5×5 version of the original Rubik's Cube. It has qualities in common with both the 3×3×3 Rubik's Cube and the 4×4×4 Rubik's Revenge, and solution strategies for both can be applied. History The Professor's Cube was invented by Udo Krell in 1981. Out of the many designs that were proposed, Udo Krell's design was the first 5×5×5 design that was manufactured and sold. Uwe Mèffert manufactured the cube and sold it in Hong Kong in 1983. Ideal Toy Company, Ideal Toys, who first popularized the original 3x3x3 Rubik's cube, marketed the puzzle in Germany as the "Rubik's Wahn" (German: ''Rubik's Craze''). When the cube was marketed in Japan, it was marketed under the name "Professor's Cube". Mèffert reissued the cube under the name "Professor's Cube" in the 1990s. The early versions of the 5×5×5 cube sold at Barnes & Noble were marketed under the name "Profess ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Rubik's Triamid
The Rubik's Triamid is a mechanical puzzle invented by Ernő Rubik and released in 1990 by Matchbox. The puzzle was patented in Hungary in 1991. It was re-released in 2017 at the American International Toy Fair by Winning Moves. The puzzle is similar to the Rubik's Cube in that the objective is to manipulate the puzzle until all sides are uniform in colour. The puzzle itself forms a triangular pyramid, so that there are four sides and colours. Rules The Triamid is made of ten individual pieces (each with four coloured sides) and four joining sections. The user is able to manipulate the puzzle by removing a small pyramid (of four pieces) from any of the four end points, rotate it, and reattach it. The puzzle is solved when each side of the pyramid has a single colour. The puzzle is superficially similar to the Pyraminx The Pyraminx () is a regular tetrahedron puzzle in the style of Rubik's Cube. It was made and patented by Uwe Mèffert after the original 3 layered Rubik' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Rubik's Revenge
The Rubik's Revenge (also known as the 4×4×4 Rubik's Cube) is a 4×4×4 version of the Rubik's Cube. It was released in 1981. Invented by Péter Sebestény, the cube was nearly called the Sebestény Cube until a somewhat last-minute decision changed the puzzle's name to attract fans of the original Rubik's Cube. Unlike the original puzzle (and other puzzles with an odd number of layers like the Professor's Cube, 5×5×5 cube), it has no fixed faces: the center faces (four per face) are free to move to different positions. Methods for solving the 3×3×3 cube work for the edges and corners of the 4×4×4 cube, as long as one has correctly identified the relative positions of the colours—since the center faces can no longer be used for identification. Mechanics The puzzle consists of 56 unique miniature cubes ("cubies") on the surface. These consist of 24 centres which show one colour each, 24 edges which show two colours each, and 8 corners which show three colours ea ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pocket Cube
The Pocket Cube (also known as the Mini Cube and Twizzle) is a 2×2×2 combination puzzle invented in 1970 by American puzzle designer Larry D. Nichols. The cube consists of 8 pieces, which are all corners. History In February 1970, Larry D. Nichols invented a 2×2×2 "Puzzle with Pieces Rotatable in Groups" and filed a Canadian patent application for it. Nichols's cube was held together with magnets. Nichols was granted on April 11, 1972, two years before Rubik invented the 3×3×3 cube. Nichols assigned his patent to his employer Moleculon Research Corp., which sued Ideal in 1982. In 1984, Ideal lost the patent infringement suit and appealed. In 1986, the appeals court affirmed the judgment that Rubik's 2×2×2 Pocket Cube infringed Nichols's patent, but overturned the judgment on Rubik's 3×3×3 Cube. Group Theory The group theory of the 3×3×3 cube can be transferred to the 2×2×2 cube. The elements of the group are typically the moves of that can be executed on the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |