Magic Polyhedra
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 other. Collectively known as twisty puzzles, the archetype of this kind of puzzle is the Rubik's Cube. Each rotating side is usually marked with different colours, intended to be scrambled, then 'solved' by a sequence of moves that sort the facets by colour. As a generalisation, combination puzzles also include mathematically defined examples that have not been, or are impossible to, physically construct. Description A combination puzzle is solved by achieving a particular combination starting from a random (scrambled) combination. Often, the solution is required to be some recognisable pattern such as "all like colours together" or "all ...
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Rubik's Cube Collection (4316806619)
The Rubik's Cube is a Three-dimensional space, 3-D combination puzzle originally invented in 1974 by Hungarians, Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in the UK in 1978, and then by Ideal Toy Company, Ideal Toy Corp in 1980 via businessman Tibor Laczi and Seven Towns founder Tom Kremer. The cube was released internationally in 1980 and became one of the most recognized icons in popular culture. It won the 1980 Spiel des Jahres, German Game of the Year special award for Best Puzzle. , 350 million cubes had been sold worldwide, making it the world's bestselling puzzle game and bestselling toy. The Rubik's Cube was inducted into the US National Toy Hall of Fame in 2014. On the original classic Rubik's Cube, each of the six faces was covered by nine stickers, each of one of six solid colours: white, red, blue, orange, green, and yellow. Some later versions ...
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Rectilinear Polygon
A rectilinear polygon is a polygon all of whose sides meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons. In many cases another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates. The distinction becomes crucial when spoken about sets of polygons: the latter definition would imply that sides of all polygons in the set are aligned with the same coordinate axes. Within the framework of the second definition it is natural to speak of horizontal edges and vertical edges of a rectilinear polygon. Rectilinear polygons are also known as orthogonal polygons. Other terms in use are iso-oriented, axis-aligned, and axis-oriented polygons. These adjectives are less confusing when the polygons of this type are rectangles, and the term axis-aligned rectangle is preferred, although orthogonal rectangle and rectilinear rectangle ...
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Speedcubing
Speedcubing (also known as speedsolving, or cubing) is a competitive sport involving solving a variety of combination puzzles, the most famous being the 3x3x3 puzzle or Rubik's Cube, as quickly as possible. An individual who practices solving twisty puzzles is known as a speedcuber (when solved specifically focusing on speed), or a cuber. For most puzzles, solving involves performing a series of moves or sequences that alters a scrambled puzzle into a solved state, in which every face of the puzzle is a single, solid color. Competitive speedcubing is mainly regulated by the World Cube Association (WCA). The WCA currently recognizes 17 speedcubing events: the cubic puzzles from the 2x2–7x7, the Pyraminx, Megaminx, Skewb, Square-1, and Rubik's Clock, as well as the 3x3, 4x4, and 5x5 Blindfolded, 3x3 One-handed, 3x3 Fewest Moves, and 3x3 Multi-blind. , the 3x3x3 world record single is 3.47 seconds held by Yusheng Du. The 3x3x3 world record average is 4.86 seconds, tied by Max ...
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Cuboid
In geometry, a cuboid is a hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube", in the sense that by adjusting the length of the edges or the angles between edges and faces a cuboid can be transformed into a cube. In mathematical language a cuboid is a convex polyhedron, whose polyhedral graph is the same as that of a cube. Special cases are a cube, with 6 squares as faces, a rectangular prism, rectangular cuboid or rectangular box, with 6 rectangles as faces, for both, cube and rectangular prism, adjacent faces meet in a right angle. General cuboids By Euler's formula the numbers of faces ''F'', of vertices ''V'', and of edges ''E'' of any convex polyhedron are related by the formula ''F'' + ''V'' = ''E'' + 2. In the case of a cuboid this gives 6 + 8  = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges. Along with the rectangular cuboids, any parallelepiped ...
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Parity Of A Permutation
In mathematics, when ''X'' is a finite set with at least two elements, the permutations of ''X'' (i.e. the bijective functions from ''X'' to ''X'') fall into two classes of equal size: the even permutations and the odd permutations. If any total ordering of ''X'' is fixed, the parity (oddness or evenness) of a permutation \sigma of ''X'' can be defined as the parity of the number of inversions for ''σ'', i.e., of pairs of elements ''x'', ''y'' of ''X'' such that and . The sign, signature, or signum of a permutation ''σ'' is denoted sgn(''σ'') and defined as +1 if ''σ'' is even and −1 if ''σ'' is odd. The signature defines the alternating character of the symmetric group S''n''. Another notation for the sign of a permutation is given by the more general Levi-Civita symbol (''ε''''σ''), which is defined for all maps from ''X'' to ''X'', and has value zero for non-bijective maps. The sign of a permutation can be explicitly expressed as : where ''N''(''σ'' ...
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Tesseract
In geometry, a tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular) octachoron, octahedroid, cubic prism, and tetracube. It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. Coxeter labels it the \gamma_4 polytope. The term ''hypercube'' without a dimension reference is frequently treated as a synonym for this specific polytope. The ''Oxford English Dictionary'' traces the word ''tesseract'' to Charles Howard Hinton's 1888 book ''A New Era of Thought''. The term derives from the Greek ( 'four') and from ( 'ray'), referring to the four edges from each vertex to other vertices. Hinton originally spell ...
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4-cube Solved
In geometry, a tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular) octachoron, octahedroid, cubic prism, and tetracube. It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. Coxeter labels it the \gamma_4 polytope. The term ''hypercube'' without a dimension reference is frequently treated as a synonym for this specific polytope. The ''Oxford English Dictionary'' traces the word ''tesseract'' to Charles Howard Hinton's 1888 book '' A New Era of Thought''. The term derives from the Greek ( 'four') and from ( 'ray'), referring to the four edges from each vertex to other vertices. Hinton originally sp ...
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V-Cube 6 Small
Panagiotis Verdes is a Greek inventor and is known for being the first person to mass produce 6x6x6 puzzles and 7x7x7 twisty puzzles. He is also known for founding the company V-Cube. He has also worked on new designs of every Twisty Puzzle from 2x2x2 to 11x11x11. Life Verdes was born in Chiliomodi, Korinthos, a province in southern Greece Greece,, or , romanized: ', officially the Hellenic Republic, is a country in Southeast Europe. It is situated on the southern tip of the Balkans, and is located at the crossroads of Europe, Asia, and Africa. Greece shares land borders ..., where he graduated from high school. He followed his passion for constructions and studied at the Aristotelian University of Thessaloniki from 1965 until 1970. During his career, he was primarily involved in building, road and public network constructions until his retirement in 2003. V-Cube V-Cube is a brand name owned by Verdes Innovations, a company owned by Panagiotis. The V-Cube br ...
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Rubiks Revenge Solved
Rubik may refer to: * Rubik (surname) * Rubik (town), town in Albania * Rubik (band), Finnish pop/rock band See also * Rubik's Cube * Ernő Rubik, creator of the Rubik's Cube * Alfrēds Rubiks Alfrēds Rubiks (russian: Альфред Петрович Рубикс, ''Alfred Petrovich Rubiks''; born 24 September 1935, in Daugavpils), is a Latvian communist politician and a former leader of the Communist Party of Latvia. He was a Member ...

Rubiks Cube Solved
Rubik may refer to: * Rubik (surname) * Rubik (town), town in Albania * Rubik (band), Finnish pop/rock band See also * Rubik's Cube * Ernő Rubik, creator of the Rubik's Cube * Alfrēds Rubiks Alfrēds Rubiks (russian: Альфред Петрович Рубикс, ''Alfred Petrovich Rubiks''; born 24 September 1935, in Daugavpils), is a Latvian communist politician and a former leader of the Communist Party of Latvia. He was a Member ...

Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ...
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