Void Cube
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Void Cube
The Void Cube is a 3-D mechanical puzzle similar to a Rubik's Cube, with the notable difference being that the center pieces are missing, which causes the puzzle to resemble a level 1 Menger sponge. The core used on the Rubik's Cube is also absent, creating holes straight through the cube on all three axes. Due to the restricted volume of the puzzle it employs an entirely different structural mechanism from a regular Rubik's Cube, though the possible moves are the same. The Void Cube was invented by Katsuhiko Okamoto. Gentosha Education, in Japan, holds the license to manufacture official Void Cubes. These official designs are also sold under the Rubik's brand, owned by Spin Master Ltd., and workalikes are available from a variety of manufacturers. Speed-solving the Void Cube is common in exhibition but is not an official World Cube Association competition event. Solution The Void Cube is slightly more difficult than a regular Rubik's Cube. The first additional challenge is t ...
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Void Cube
The Void Cube is a 3-D mechanical puzzle similar to a Rubik's Cube, with the notable difference being that the center pieces are missing, which causes the puzzle to resemble a level 1 Menger sponge. The core used on the Rubik's Cube is also absent, creating holes straight through the cube on all three axes. Due to the restricted volume of the puzzle it employs an entirely different structural mechanism from a regular Rubik's Cube, though the possible moves are the same. The Void Cube was invented by Katsuhiko Okamoto. Gentosha Education, in Japan, holds the license to manufacture official Void Cubes. These official designs are also sold under the Rubik's brand, owned by Spin Master Ltd., and workalikes are available from a variety of manufacturers. Speed-solving the Void Cube is common in exhibition but is not an official World Cube Association competition event. Solution The Void Cube is slightly more difficult than a regular Rubik's Cube. The first additional challenge is t ...
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Three-dimensional Space
Three-dimensional space (also: 3D space, 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called ''parameters'') are required to determine the position (geometry), position of an element (i.e., Point (mathematics), point). This is the informal meaning of the term dimension. In mathematics, a tuple of Real number, numbers can be understood as the Cartesian coordinates of a location in a -dimensional Euclidean space. The set of these -tuples is commonly denoted \R^n, and can be identified to the -dimensional Euclidean space. When , this space is called three-dimensional Euclidean space (or simply Euclidean space when the context is clear). It serves as a model of the physical universe (when relativity theory is not considered), in which all known matter exists. While this space remains the most compelling and useful way to model the world as it is experienced, it is only one example of a large variety of spaces in three dimensions called ...
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Mechanical Puzzle
A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces in which the solution is to manipulate the whole object or parts of it. While puzzles of this type have been in use by humanity as early as the 3rd century BC, one of the most well-known mechanical puzzles of modern day is the Rubik's Cube, invented by the Hungarian architect Ernő Rubik in 1974. The puzzles are typically designed for a single player, where the goal is for the player to see through the principle of the object, rather than accidentally coming up with the right solution through trial and error. With this in mind, they are often used as an intelligence test or in problem solving training. History The oldest known mechanical puzzle comes from Greece and appeared in the 3rd century BC. The game consists of a square divided into 14 parts, and the aim was to create different shapes from these pieces. This is not easy to do. (see Ostomachion loculus Archimedius) In Iran "puzzle-lo ...
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Rubik's Cube
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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Menger Sponge
In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension. Construction The construction of a Menger sponge can be described as follows: # Begin with a cube. # Divide every face of the cube into nine squares, like Rubik's Cube. This sub-divides the cube into 27 smaller cubes. # Remove the smaller cube in the middle of each face, and remove the smaller cube in the center of the more giant cube, leaving 20 smaller cubes. This is a level-1 Menger sponge (resembling a void cube). # Repeat steps two and three for each of the remaining smaller cubes, and continue to iterate ''ad infinitum''. The second iteration gives a level-2 sponge, the third iteration gives a level-3 sponge, and s ...
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Katsuhiko Okamoto
Katsuhiko Okamoto is a Japanese inventor who specializes in modifications of the Rubik's Cube. Since 2001 he has created 31 such puzzles. Okamoto Cubes An incomplete list of Okamoto's inventions: *Floppy Cube - a 3x3x1 cube *Scramble Cube - a modified Floppy Cube, with a diamond-shaped centrepiece * Slimtower - a 2x2x3 cube, Okamoto's first invention *Void Cube - a hollow 3x3x3 cube without centrepieces, which uses a rail mechanism to move cubies * Bevel Cube - identical to the independently developed Helicopter Cube The Helicopter Cube is a Rubik's Cube-like puzzle invented by Adam G. Cowan in 2005 and built in 2006. It is also in the shape of a cube. At first glance, the Helicopter Cube may seem like a combination of the 2x2x2 and the Skewb, but it actually ..., which appears to be a 2x2x2 cube with 8 triangles per face * Latch Cube - a 3x3x3 with directional constraints on its edges. References External linksOkamoto's official website (in Japanese) {{DEFAULTSORT:Okamoto, ...
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Spin Master
Spin Master is a Canadian multinational toy and entertainment company that markets consumer products for children. Its brands include '' Bakugan'', Gund, Etch A Sketch, Meccano/ Erector, Air Hogs, ''PAW Patrol'', Aquadoodle, Tech Deck, Hatchimals, Rubik's Cube, and Zoomer. Spin Master employs over 1,600 people globally with offices in Australia, Canada, China, France, Germany, Hong Kong, India, Italy, Japan, Mexico, the Netherlands, Poland, Slovakia, Sweden, the United Kingdom, the United States, and Vietnam. Since 2002, Spin Master has received 92 "Toy of The Year" (TOTY) nominations with 28 wins across a variety of product categories, including 13 TOTY nominations for "Innovative Toy of the Year", more than any other toy company. In 2022, Spin Master won The Golden Screen Award for Feature Film, presented by the Academy of Canadian Cinema & Television, for PAW Patrol: The Movie. The Golden Screen Award recognizes the Canadian film that grossed the highest domestic box offi ...
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World Cube Association
The World Cube Association (WCA) is the worldwide non-profit organization that regulates and holds competitions for mechanical puzzles that are operated by twisting groups of pieces, commonly known as '' twisty puzzles'' (a subcategory of combination puzzles). The most famous of those puzzles is the Rubik's Cube. The WCA was founded by Ron van Bruchem of the Netherlands and Tyson Mao of the United States in 2004. The goal of the World Cube Association is to have "more competitions in more countries with more people and more fun, under fair conditions." In 2017, they started work to become a non-profit organization and on November 20, 2017, the state of California accepted the initial registration of the World Cube Association. The organization is run by the board members. It assigns different teams and committees as well as delegates who can organize official competitions. The presence of a delegate is required to make the competition official. , more than 165,000 people from arou ...
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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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Rubik's Cube Vs Void Cube Odd Parity Swap
The Rubik's Cube is a 3-D combination puzzle originally invented in 1974 by 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 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 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 of the cube have been updated to use coloured plastic panels instead, ...
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CFOP Method
The CFOP method (Cross – F2L – OLL – PLL), sometimes known as the Fridrich method, is one of the most commonly used methods in speedsolving a 3×3×3 Rubik's Cube. This method was first developed in the early 1980s combining innovations by a number of speed cubers. Czech speedcuber and the namesake of the method Jessica Fridrich is generally credited for popularizing it by publishing it online in 1997. The method works on a layer-by-layer system, first solving a cross typically on the bottom, continuing to solve the first two layers (F2L), orienting the last layer (OLL), and finally permuting the last layer (PLL). There are 78 algorithms in total to learn for OLL and PLL but there are other algorithm sets like ZBLL and COLL that can be learned as an extension to CFOP to improve solving efficiency. History Basic layer-by-layer methods were among the first to arise during the early 1980s craze. David Singmaster published a layer-based solution in 1980 which proposed the use o ...
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Disassembled Void Cube
"Avengers Disassembled" is a 2004 crossover storyline published by Marvel Comics involving the Avengers, Fantastic Four, Captain America, Spider-Man and Thor. The beginning of Brian Michael Bendis's ''Avengers'' run, it depicts the destruction of the existing traditional roster and the exile of several key members of the team. The storyline includes a number of subplots, some of which take place before and/or after the main events, which include other changes to the status quo: Iron Man once again closeting his secret identity, Spider-Man developing organic web-shooters (as in the contemporary Sam Raimi film trilogy), and the death of Thor and Asgard in one final Ragnarok. The main story, ''Chaos'', ran in ''Avengers'' #500-503 and a special epilogue, ''Avengers Finale''. The series would lead to a massive relaunch of the Avengers family of titles: New Avengers, New Thunderbolts, Captain America, and Iron Man; and the launch of Young Avengers. Plot summary Avengers Jack of Hea ...
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