about the geometric shape Reg polyhedra db Reg polyhedron stat table C In geometry , a cube ref English cube from Old French Latin cubus Greek kubos meaning a cube, a die, vertebra . In turn from ... . The cube can also be called a Regular polyhedron regular hexahedron and is one of the five Platonic ... and of trigonal trapezohedron . The cube is dual polyhedron dual to the octahedron . It has cubical ... Roy Goldsmith, May 2011 Orthogonal projections The cube has four special orthogonal projection ... 2 sub BR File 3 cube t0.svg 100px align center Projective BR symmetry 4 6 Tilted views File Cube t0 e.png 100px File Cube t0 fb.png 100px Cartesian coordinates For a cube centered at the origin, with edges ... x sub i sub 1. Formulae For a cube of edge length a , class wikitable area mathematics surface area ... s align center math frac pi 2 math As the volume of a cube is the third power of its sides a a a , third power s are called cubealgebracube s , by analogy with square algebra square s and second powers. A cube has the largest volume among cuboid s rectangular boxes with a given surface area . Also, a cube has the largest volume among cuboids with the same total linear size length width height . Uniform colorings and symmetry The cube has three uniform colorings, named by the colors of the square faces around each vertex 111, 112, 123. The cube has three classes of symmetry, which can be represented ... sub comes from the cube being a prism, with all four sides being the same color. The lowest symmetry ... nets of the cube. Image Stone Dice 17.JPG right thumb 150px These familiar six sided dice are cube shaped. A cube has eleven net polyhedron nets one shown above that is, there are eleven ways to flatten a hollow cube by cutting seven edges. ref mathworld urlname Cube title Cube ref To color the cube so that no two adjacent faces have the same color, one would need at least three colors. The cube is the cell ..., it is the only member of that group that is a zonohedron every face has point symmetry . The cube can ... more details
The term algebra is defined below after first defining a ring . ring In mathematics , a ring is an associative ring with a map A A which is an antiautomorphism and an Semigroup with involution involution ... over any ring. algebra A algebra A is a ring that is an associative algebra over a commutative ring ... , math x,y in A math . A homomorphism math f colon A to B math is algebra homomorphism that is compatible ... numbers. A operation on a algebra is an operation on an algebra over a ring that behaves similarly to taking ... of a algebra is the field of complex numbers C where is just complex conjugation . More generally, the conjugation involution in any Cayley Dickson algebra such as the complex numbers, quaternion s and octonion ... ring matrix algebra of n × n matrix mathematics matrices over C with given by the conjugate ... is also a star algebra. In Hecke algebra , an involution is important to the Kazhdan Lusztig polynomial ... curve becomes a algebra over the integers, where the involution is given by taking the dual ... notes on abelian varieties . Hopf algebra Examples Involutive Hopf algebras are important examples ... being The group Hopf algebra a group ring , with involution given by math g mapsto g 1 . math ... form a Jordan algebra The skew Hermitian elements form a Lie algebra If 2 is invertible, then math ... and anti symmetrizing , so the algebra decomposes as a direct sum of symmetric and anti symmetric Hermitian and skew Hermitian elements. This decomposition is as a vector space, not as an algebra, because the idempotents are operators, not elements of the algebra. Skew structures Given a ring, there is also the map math x mapsto x math . This is not a ring structure unless the characteristic algebra ... elements, and the imaginary numbers are the skew Hermitian. See also B algebra C algebra von Neumann algebra Baer ring operator algebra This article is no longer a stub, but there is more to be said about algebras which are not B or C algebras. DEFAULTSORT Algebra Category Algebras fr ... more details
Orphan date January 2012 A algebra or, more explicitly, a closed algebra is the name occasionally used in physics ref John A. Holbrook, David W. Kribs, and Raymond Laflamme. Noiseless Subsystems and the Structure of the Commutant in Quantum Error Correction. Quantum Information Processing . Volume 2, Number 5, p. 381&ndash 419. Oct 2003. ref for a finite dimensional C algebra . The dagger, , is used in the name because physicists typically use the symbol to denote a hermitian adjoint , and are often not worried about the subtleties associated with an infinite number of dimensions. Mathematicians usually use the asterisk, , to denote the hermitian adjoint. algebras feature prominently in quantum mechanics , and especially quantum information science . References references Category C algebras physics stub algebra stub ... more details
about the branch of mathematics pp move indef sprotect small yes Algebra from Arabic language Arabic al jebr meaning reunion of broken parts ref cite web title algebra work Online Etymology Dictionary ... , topology , combinatorics , and number theory , algebra is one of the main branches of pure mathematics . Elementary algebra , often part of the curriculum in secondary education , introduces ... be done for a variety of reasons, including equation solving . Algebra is much broader than elementary algebra and studies what happens when different rules of operations are used and when operations ... algebra . History Main History of algebra Timeline of algebra File Image Al Kit b al mu ta ar f is b ... Greeks created a geometric algebra where terms were represented by sides of geometric objects, usually ... s Algebra made use of lettered diagrams but all coefficients in the equations used in the Algebra are specific ... called the father of algebra , was an Alexandria n Greek mathematics Greek mathematician and the author ... 8 ref While the word algebra comes from the Arabic language lang ar transl ar al jabr restoration ... algebra as a mathematical discipline that is independent of geometry and arithmetic . ref citation title Al Khwarizmi The Beginnings of Algebra author Roshdi Rashed publisher Saqi Books date November 2009 isbn 0 86356 430 5 ref The roots of algebra can be traced to the ancient Babylonian mathematics ... Diophantus, Father of Algebra ref as well as Indian mathematics Indian mathematicians such as Brahmagupta ... s Brahmasphutasiddhanta are on a higher level. ref http www.algebra.com algebra about history History of Algebra ref For example, the first complete arithmetic solution including zero and negative ... of algebra but in more recent times there is much debate over whether al Khwarizmi, who founded the discipline ... Edition Wiley, 1991 , pages 178, 181 ref Those who support Diophantus point to the fact that the algebra found in Al Jabr is slightly more elementary than the algebra found in Arithmetica and that Arithmetica ... more details
wiktionary cube A cube geometry cube is a shape in three dimensions. It may also refer to tocright People Ice Cube born 1969 , rapper, often referred to simply as Cube Irma von Cube 1899 1977 , German American screenwriter Math and science Cubealgebra , the third power of a number CuBe , an alloy of copper and beryllium Data cube , a three or higher dimensional array of values OLAP cube , an extension ... queries The lambda cube is a framework of constructive logic Entertainment The Cube game show The Cube game show , a British TV game show where tasks are completed from inside a cube The Cube U.S. game show The Cube U.S. game show , an American game show based on the UK show Cube Records , a record label Borg starships , in Star Trek , the most common of which is a cube Cosmic Cube , the name of a fictional object in media published by Marvel Comics Cube comics , the name of a prison in Marvel Comics BBC Two Cube ident , a 1967 television ident for BBC Two Film Cube film series Cube film series , a series of films including Cube film Cube film , a 1997 Canadian film Cube 2 Hypercube , the 2002 sequel to CubeCube Zero , the 2004 prequel to Cube The Cube film The Cube film , a 1969 television film by Jim Henson Games Cube video game , a 2001 first person shooter computer game Cube 2 Sauerbraten , sequel to Cube AssaultCube , first person shooter based on Cube s game engine Cubes , development name of Q bert Gelatinous cube , a monster found in Dungeons & Dragons and other role playing games Nintendo GameCube , often referred to as cube for short Rubik s Cube , a six coloured mechanical puzzle game Helicopter Cube , a Rubik s Cube like puzzle invented by Adam G Sudoku Cube , a variation on a Rubik s Cube Pocket Cube , the 2 2 2 equivalent of a Rubik s Cube Professor s Cube , a mechanical puzzle, a 5 5 5 version of the Rubik s Cube Void Cube , a 3 D mechanical puzzle similar to a Rubik s Cube Weighted Companion Cube, a character in Portal video game Cube, the butler in the Princess ... more details
about the data mining concept OLAP cube the Image Processing company Datacube Inc. Unreferenced date December 2009 Notability date March 2010 In computer programming contexts, a data cube or datacube is a three or higher dimensional Array data structure array of values, commonly used to describe a time series of image data. A data cube is also used in the field of Imaging spectroscopy , since a spectrally resolved image is represented as a three dimensional volume. For a time sequence of color images, the array is generally four dimensional, with the dimensions representing image X and Y coordinates, time, and RGB or other color space color plane. Many high level computer languages treat data cubes and other large arrays as single entities distinct from their contents. These languages, of which APL programming language APL , IDL programming language IDL , NumPy , Perl Data Language PDL , and S Lang are examples, allow the programmer to manipulate complete film clips and other data en masse with simple expressions derived from linear algebra and vector geometric vector mathematics. Some languages such as PDL distinguish between a list computing list of images and a data cube, while many such as IDL do not. A tensor of rank three may be represented as a data cube. See also OLAP cube DEFAULTSORT Data Cube Category Image processing Category Database theory Database stub ja ... more details
Image Cube root.svg right thumb 288px Plot of y math sqrt 3 x math for math x ge 0 math . Complete plot ... tangent . In mathematics , a cube root of a number, denoted math sqrt 3 x math or x sup 1 3 sup , is a number ... cube root and a pair of complex conjugate roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8 is 2, because 2 sup 3 sup 8. All the cube roots of 27 i are math sqrt 3 27i begin cases 3i frac 3 sqrt 3 2 frac 3 2 i frac 3 sqrt 3 2 frac 3 2 i. end cases math The cube root operation is not associativity associative or distributive with addition or subtraction . The cube root operation is associative with exponentiation and distributivity ... sqrt 3 8 3 begin cases 8 4 4 sqrt 3 i 4 4 sqrt 3 i. end cases math Formal definition The cube ... 3rd roots of unity.svg thumb right The three cube roots of 1 If x and y are real number real , then there is a unique solution and so the cube root of a real number is sometimes defined by this equation. If this definition is used, the cube root of a negative number is a negative number. If x and y ... x has three cube roots. A real number has one real cube root and two further cube roots which form a complex conjugate pair. This can lead to some interesting results. For instance, the cube roots of the number ... real or complex number. If a number is one cube root of any real or complex number, the other two cube roots can be found by multiplying that number by one or the other of the two complex cube roots of one. Complex numbers Image Complex cube root.jpg right thumb 350px Plot of the complex cube root together ... Image Riemann surface cube root.jpg right thumb 200px Riemann surface of the cube root. One can see how all three leaves fit together For complex numbers, the principal cube root is usually ... in the range math pi theta le pi math , then the principal complex cube root is math sqrt 3 x sqrt 3 r exp tfrac13 i theta . math This means that in polar coordinates , we are taking the cube root of the radius ... more details
Rubik s Cube with GAP the permutation group of Rubik s Cube is examined with GAP computer algebra ...pp semi vandalism expiry August 26, 2012 small yes pp move indef Infobox toy name Rubik s Cube image File Rubik s cube.svg 220px othernames Magic Cube type mechanical puzzle Puzzle inventor Ern Rubik country Hungary company Seven Towns, ltd from 1974 to present website http www.rubiks.com Rubik s Cube ... called the Magic Cube , ref http www.dailymail.co.uk news article 1112396 Driven mad Rubiks nut weeps solving cube 26 years trying.html Driven mad Rubik s nut weeps on solving cube... after 26 years ... Cite news author William Lee Adams title The Rubik s Cube A Puzzling Success url http www.time.com time ... 02 05 ref ref Cite news author Alastair Jamieson title Rubik s Cube inventor is back with Rubik s 360 url http www.telegraph.co.uk lifestyle 4412176 Rubiks Cube inventor is back with Rubiks 360.html work ... s Cube PC Game url http www.reuters.com article pressRelease idUS147698 06 Feb 2008 PNW20080206 work ..., 2005. ref It is widely considered to be the world s best selling toy. ref Cite news title Rubik s Cube 25 years on crazy toys, crazy times url http www.independent.co.uk news science rubiks cube 25 ... 06 location London ref In a classic Rubik s Cube, each of the six faces is covered by nine stickers ... Rotatable in Groups and filed a Canadian patent application for it. Nichols s cube was held together ... his Cube. On April 9, 1970, Frank Fox applied to patent his Spherical 3 3 3 . He received his ... of Rubik s Cube, Toy of the year 1980 Ideal Toy Corp., Made in Hungary. In the mid 1970s, Ern Rubik ... year 2007 pages 130 isbn 0 313 33919 8 ref Although it is widely reported that the Cube was built as a teaching ... not realize that he had created a puzzle until the first time he scrambled his new Cube and then tried to restore it. ref http www.puzzlesolver.com puzzle.php?id 29 page 15 PuzzleSolver Rubik s Cube ref Rubik obtained Hungarian patent HU170062 for his wikt magic cube Magic Cube in 1975. Rubik s Cube ... more details
Orphan date September 2010 Notability Products date August 2010 Unreferenced date August 2010 The Scramble Cube is a variation of the Rubik s Cube . The Scramble Cube is under a series of variations known as the Okamoto Cubes. This puzzle is invented by Katsuhiko Okamoto . The Floppy Cube is the fourth Okamoto Cube. It is another 3x3x1 puzzle which is also known as Super Floppy Cube . Scramble Cube is not supposed to be messed up with Floppy Cube . Descriptions The Scramble Cube look nearly the same as Floppy Cube except that its center piece is shape like a diamond. The center piece does not bend when turning the rotating pieces unlike Floppy Cube. When the rotating pieces are twisted 90 , the rest of the cube are not locked, which means that the cube is able to change form, thus adding more fun to the cube compared to Floppy Cube. The cube is considered easy to solve, but it takes a bit more time to turn the cube back into its 3x3x1 form. References http cubepuzzle.arrow.jp modules pico3 index.php?content id 4 Cube Puzzle Studio Scramble Cube Page http www.gentosha edu.co.jp products post 64.html Gentosha Education Scramble Cube Page External links http www.gentosha edu.co.jp products post 31.html Gentosha Education Official Website Rubik s Cube Category Combination puzzles Toy stub ... more details
context date June 2011 copyedit date June 2011 file OLAP Cube.svg thumb OLAP Cube An OLAP cube is a set ... hypercube is sometimes used. Functionality The OLAP cube consists of numeric facts called measures which are categorized by Dimension data warehouse dimensions . The cube metadata structure may be created ... might then immediately wish to view it in another way. The cube could effectively be re oriented so ... and the budget, and drill down into the cube to discover which locations, products and periods ... cube. File OLAP dicing.png thumb OLAP dicing Dice The dice operation is a slice on more than two dimensions of a data cube or more than two consecutive slices . ref cite web url http www.cs.ualberta.ca ... of Alberta year 1999 accessdate 2008 03 17 ref The picture shows a dicing operation The new cube ... The picture shows a pivoting operation The whole cube is rotated, giving another perspective on the data ... sparsity . Sparsity arises when not every cell in the cube is filled with data and so valuable ... of creating a sparse cube, it is sometimes better to create another separate, but linked, cube in which ... by different people. Techniques are therefore often needed to lock parts of the cube while one of the users is writing to it and to recalculate the cube s totals. Other facilities may allow an alert that shows ... , an OLAP cube is ref name DataCubeGray1995 cite web url http research.microsoft.com gray DataCube.doc title Data Cube A Relational Aggregation Operator Generalizing Group By, Cross Tab, and Sub Totals ... algebra projection of an RDBMS relation. Given a relation database relation of order N , consider ... , and Z correspond to the axes of the cube, while the W value into which each X , Y , Z triple maps corresponds to the data element that populates each cell of the cube. Insofar as two dimensional output ... cube we say project in the classic vector analytic sense of dimensional reduction, not in the SQL ... author Daniel Lemire date 2007 12 accessdate 2008 03 05 Data warehouse DEFAULTSORT Olap Cube Category ... more details
Onesource date October 2011 In mathematics , a P multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k th power for 1 k P . Thus, a magic cube is bimagic when it is 2 multimagic, and trimagic when it is 3 multimagic, tetramagic when it is 4 multimagic. ref name Multi MathWorld id MultimagicCube ref A P multimagic cube is said to be semi perfect if the k th power cubes are perfect magic cube perfect for 1 k P , and the P th power cube is semiperfect magic cube semiperfect . If all P of the power cubes are perfect, the multimagic cube is said to be perfect. The first known example of a bimagic cube was given by John Hendricks in 2000 it is a semiperfect magic cube semiperfect cube of order 25 and magic constant 195325. In 2003, C. Bower discovered two semi perfect bimagic cubes of order 16, and a perfect bimagic cube of order 32. ref name Bi MathWorld title Bimagic Cube id BimagicCube ref MathWorld reports that only two trimagic cubes are known, discovered by C. Bower in 2003 a semiperfect cube of order 64 and a perfect cube of order 256. ref name Tri MathWorld id TriMagic title Trimagic Cube ref It also reports that he discovered the only two known tetramagic cubes, a semiperfect cube of order 1024, and perfect cube of order 8192. ref name Tetra MathWorld title Tetramagic Cube id TetramagicCube ref References reflist See also Magic square Multimagic square DEFAULTSORT Multimagic Cube Category Magic squares geometry stub fr Cube multimagique it Cubo multimagico ... more details
Image Impossible cube illusion angle.svg 200px thumb right Viewed from a certain angle, this cube appears to defy the laws of geometry. The impossible cube or irrational cube is an impossible object that draws upon the ambiguity present in a Necker cube illustration. An impossible cube is usually rendered as a Necker cube in which the edges are apparently solid beams. This apparent solidity gives the impossible cube greater visual ambiguity than the Necker cube, which is less likely to be perceived as an impossible object. The illusion plays on the human eye s interpretation of two dimensional pictures as three dimensional objects. Image Impossible cube different angle.png 200px thumb left Viewed from another angle, however, the non impossibility of the shape is apparent&mdash its cubic nature itself is an illusion. In M.C. Escher s lithograph Belvedere M. C. Escher Belvedere , the figure of a boy seated at the foot of the building is holding an impossible cube the rest of the scene is based on the same principle that makes the impossible cube. In the scene, a ladder from the inside of the first story leads to the outside of the second. However, this is not appreciated by the prisoner in the basement cell because the basement is a possible cuboid and he is unambiguously on the inside. A doctored photograph purporting to be of an impossible cube was published in the June 1966 issue of Scientific American , where it was called a Freemish Crate . See also Penrose triangle Blivet Category Optical illusions Category Impossible objects de Unm gliche Lattenkiste fr Cube impossible it Cubo impossibile ... more details
Image Minus Cube puzzle.jpg thumb right 200px The Minus Cube puzzle Image Minus Cube small cube disassembled.jpg thumb right 200px A small cube of the Minus Cube in the disassembled state The Minus Cube lang ru is a Three dimensional space 3D mechanical puzzle mechanical variant of the n puzzle which was manufactured in the Soviet Union . It consists of a bonded transparent plastics plastic box containing seven small cubes, each glued together from two U shape parts one white and one coloured. The length of one side of the interior of the box is slightly more than twice the length of the side of a small cube. There is an empty space the size of one small cube inside the box and the small cubes are moveable inside the box by tilting the box causing a cube to fall into the space. The goal of the puzzle is to shuffle the cubes in such a way that on each side of the box, all of the faces of the small cubes are one color. There were two types of Minus Cubes manufactured the so called Moscow Minus Cube red white and Yekaterinburg Sverdlovsk Minus Cube blue white , each named after the cities in which they were produced. They differed only in the orientation of one of the small cubes. Because of this difference there are 12 times as many solved arrangements for the Moscow Minus Cube, and thus the Sverdlovsk Minus Cube is 12 times more difficult to solve. However, if one does not confine oneself to these two types of the Minus Cube, there are 48 Minus Cube variants which can be solved. See also N puzzle Combination puzzles Mechanical puzzles References ru icon http kvant.mccme.ru 1988 10 p66.htm An article on the Minus Cube in Kvant magazine Kvant magazine 1988, N6, p.66 External links http www.twistypuzzles.com cgi bin puzzle.cgi?pkey 1003 Minus Cube Puzzle at TwistyPuzzles.com http www.hlavolamy puzzles.cz otocne prosklou str1 foto OT5 RusiaBox.jpg A photo of Sverdlovsk Minus Cube Puzzle http www.v3minus.com An extended electronic version of Sverdlovsk Minus Cube ... more details
dablink For the flashbulb cartridges, see Magicube . For the puzzle, see Rubik s Cube . In mathematics , a magic cube is the dimension 3 dimensional equivalent of a magic square , that is, a number of integers ... of the cube, denoted M sub 3 sub n . It can be shown that if a magic cube consists of the numbers ... right An example of a 3 × 3 × 3 magic cube. In this example, no slice is a magic square. In this case, the cube is classed as a simple magic cube . math M 3 n frac ... also sum up to the cube s magic number, the cube is called a perfect magic cube otherwise, it is called a semiperfect magic cube . The number n is called the order of the magic cube. If the sums of numbers on a magic cube s broken space diagonal s also equal the cube s magic number, the cube is called a pandiagonal cube . Alternate definition In recent years, an alternate definition for the perfect magic cube has gradually come into use. It is based on the fact that a pandiagonal magic square ... with the above definition for the cube. Multimagic cube s outdated reason see the main article more ... 2011 As in the case of magic squares, a bimagic cube has the additional property of remaining a magic cube when all of the entries are squared, a trimagic cube remains a magic cube under both the operations .... A tetramagic cube remains a magic cube when the entries are squared, cubed, or raised to the fourth power. Magic cubes based on D rer s and Gaudi Magic squares A magic cube can be built with the constraint ... home page magic cube with duerer s square Magic cube with the magic square of D rer , and http sites.google.com site aliskalligvaen home page magic cube with gaudi s square Magic cube with the magic ... magic cube Semiperfect magic cube Multimagic cube Magic tesseract Magic hypercube Magic cube class ... MagicCube.html MathWorld Magic Cube http members.shaw.ca hdhcubes index.htm Harvey ... and magic cubes Category Magic squares de Magischer W rfel fa fr Cube magique it Cubo magico ... more details
Refimprove date October 2009 File Pocket Cube size comparison.jpg thumb right 400px From left to right original Pocket Cube, Eastsheen cube, V Cube 2, V Cube 2b. The Pocket Cube also known as the Mini Cube or the Ice Cube is the 2 2 2 equivalent of a Rubik s Cube . The cube geometry cube consists of 8 ... cube solved.jpg width1 185px image2 Pocket cube scrambled.jpg width2 185px image3 Pocket cube twisted.jpg width3 185px footer Pocket Cube in different forms. From top to bottom br i. Solved pocket cube. br ii. Scrambled pocket cube. br iii.P ocket cube with one side tilted. Any permutation of the eight ... of the cube in space, reducing the positions by a factor of 24. This is because all 24 possible positions ... have fixed centers which identify the cube s spatial orientation. The number of possible positions of the cube is math frac 8 times 3 7 24 7 times 3 6 3674160. math The maximum number of turns required to solve the cube is up to 11 full turns, or up to 14 quarter turns. ref name Jaapsch http www.jaapsch.net puzzles cube2.htm Jaapsch.net Pocket Cube ref The number f of positions that require n ... record of solving the Pocket Cube in competition, with a time of 0.69 seconds set at the Trentin Open ... Kaserer ref ref name Official Results 2 2 2 Cube World Cube Association http www.worldcubeassociation.org results regions.php?eventId 222 Official Results 2 2 2 Cube . ref For the best average time of 5 solves, Feliks Zemdegs holds the world record with a time of 2.12 seconds set at Melbourne Cube day 2010. ref name Official Results 2 2 2 Cube Variants At Rubik s online store, an easier version of the Pocket Cube exists, dubbed the Junior Cube . This version has only two colors, with a picture of a monkey on one face. The Rubik s Ice Cube is a version of the Pocket Cube with transparent plastic ... 5 cm in abbr on than the original. Verdes Innovations has released the V Cube 2, which is available in two shapes. The flat sided V Cube 2 is roughly the same size as the Eastsheen cube. The V Cube ... more details
Unreferenced date December 2009 DISPLAYTITLE KR Cube correct title reason bracket title KR Cube Infobox Single Name KR Cube Cover Deg kr cube.jpg Artist Dir En Grey from Album Macabre album Macabre Released June 7, 2000 Recorded Genre Hard rock , experimental rock Length 11 36 Label Free Will Producer Dir En Grey Chart position Last single Myaku br 2000 This single KR Cube br 2000 Next single Taiyou no Ao br 2000 Misc KR Cube stylized KR cube is a single released by Dir En Grey on June 7, 2000. Its second track is a piano vocal duet, rerecording of the band s first single Jealous Dir En Grey song Jealous the third track was later included on the remix album Kai album Kai . Track listing Tracklist all lyrics Kyo musician Kyo all music Dir En Grey title1 KR Cube length1 4 12 title2 Jealous Reverse length2 4 56 title3 KR Cube K.K. Vomit Mix note3 remix by Kyo length3 2 28 Dir En Grey DEFAULTSORT Kr Cube Category 2000 singles Category Dir En Grey songs Category Songs written by Kyo ja KR cube pl KR Cube ... more details
Image Snakecube 1.jpg thumb Unsolved cube ... Image Snakecube 2.jpg thumb ... and solved cube. The snake cube is a mechanical puzzle , a chain of 27 number 27 or 64 number 64 cubelets, connected by an elastic band running through them. The cubelets can rotate freely. The aim of the puzzle is to arrange the chain in such a way that they will form 3 x 3 x 3 or 4 x 4 x 4 cube . Variations A variation on the puzzle is a Kibble cube , which is also a string of cubes but has slots on the cubes. There are also many different styles of the cube. It can be made up of wood or plastic and can vary in colour , material and size. Etymology The name comes from how the puzzle looks like before and after it is solved. Before it is solved it looks like a snake and when it is solved it is a cube. External links http www.mathematische basteleien.de snakecube.htm Snake Cube at Mathematische Basteleien http www.jaapsch.net puzzles snakecube.htm Snake Cube at www.jaapsch.net Category Mechanical puzzles Category Puzzles Category Educational toys cs Snake cube fr Cube serpent it Rubik s Snake sl Ka ja kocka th ... more details
Orphan date September 2010 Notability Products date August 2010 Refimprove date August 2010 The Tower Cube is a variation of the Rubik s Cube manufactured by Chronos and distributed by Gentosha Education , ref http www.gentosha edu.co.jp ref a company based in Japan . The Tower Cube is under a series of variations known as the Okamoto Cubes. This puzzle is invented by Katsuhiko Okamoto . The Tower Cube is the third Okamoto Cube. It is 2x2x3 puzzle which is also known as Slim Tower . There are also some official tower cube such as the 2x2x4 Rubik s Tower ref http www.mefferts.com products details.php?lang en&category 13&id 330 ref . The Tower Cube does not change form, additionally the top and bottom colours does not mix the colours on the sides. Descriptions Empty section date September 2010 References Reflist External links http www.gentosha edu.co.jp products tower cube.html Gentosha Education Tower Cube Page http cubepuzzle.arrow.jp Cube Puzzle Studio http www.mefferts.com products details.php?lang en&category 13&id 330 2x2x4 Rubik s Tower Rubik s Cube Category Combination puzzles Toy stub ... more details
Unreferenced date June 2010 The Yoshimoto Cube is a polyhedron polyhedral mechanical puzzle toy invented in 1971 by Japanese man nihongo Naoki Yoshimoto Yoshimoto Naoki . The cube is made up of eight interconnected cubes and it is capable of folding and unfolding itself in a cyclic fashion. You can keep folding, or unfolding the cube, indefinitely. Once folded, the cube can be turned into two rhombic stellated dodecahedrons. Yoshimoto discovered that these two shapes could be pieced together into a square when he was finding different ways he could split a cube equally in half. See also Rubik s Cube n dimensional sequential move puzzles n dimensional sequential move puzzles External links http www1.ttcn.ne.jp a nishi y cube z y cube.html Geometric Toys http in.youtube.com watch?v YQtbcgBWobA Youtube Video Category Combination puzzles Category Mechanical puzzles Category Puzzles Category Educational toys Category Cubes ... more details
Image Bedlam cube.JPG thumb Bedlam cube Image Bedlam elements.JPG thumb Bedlam cube elements The Bedlam cube is a solid dissection puzzle invented by British puzzle expert Bruce Bedlam. ref http www.bedlampuzzles.com 13reasons.asp Bruce Bedlam the Cubes inventor is putting all his royalty fees into his company Stonehenge Limited ref ref http www.stonehenge.tv intro.html Bruce s Theories Stonehenge Ltd website ref Design The puzzle consists of thirteen polycube polycubic pieces twelve pentacube s and one tetracube . The objective is to assemble these pieces into a 4 x 4 x 4 cube. There are 19,186 distinct ways of doing so, up to rotations and reflections. The Bedlam cube is one unit per side larger than the 3 x 3 x 3 Soma cube , and is much more difficult to solve. History Two of the BBC2 dragons , Rachel Elnaugh and Theo Paphitis , were to invest in the Bedlam cube during the second series of Dragons Den UK Dragons Den . They offered 100,000 for a 30 share of equity in Bedlam Puzzles. Danny Bamping the entrepreneur behind Bedlam cube finally chose a bank loan instead of their investment, as seen in the relevant Where Are They Now episode of Dragons Den . Citation needed date June 2010 Records The official world record for assembling the Bedlam Cube is 7.77 seconds, and was set by Aleksander Iljasov Norway on 28 September 2007. ref name record Guinness World Records ref See also Slothouber Graatsma puzzle Conway puzzle Polycube Soma cube References Reflist External links http www.bedlampuzzles.com The Official Site of Bedlam Puzzles http www.danieltebbutt.com bedlam.html Bedlam Cube solver http scottkurowski.com bedlamcube All 19,186 Bedlam Cube Solutions http www.cube.operaomnia.info Bedlam Cube Demonstration Software Category Discrete geometry Category Tiling puzzles Category Recreational mathematics Mathapplied stub ar bs Bedlamova kocka es Cubo de Bedlam eo Kubo de Bedlam ko no Bedlams kube pl Kostka Bedlam fi Bedlamin kuutio ... more details
Image Unitcube.svg thumb 300px right Unit cube A unit cube , sometimes called a cube of side 1 , is a cube whose sides are 1 unit long. The volume of a 3 dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. Unit Hypercube The term unit cube or unit hypercube is also used to refer to hypercube s, or cubes in n dimensional spaces, for values of n other than 3. In all dimensions, the unit cube has 2 sup n sup corners. Sometimes the term unit cube refers in specific to the set 0, 1 sup n sup of all n tuples of numbers in the interval 0, 1 . The length of the longest diagonal of a unit hypercube of n dimensions is the square root of n . See also Unit square Unit sphere External links mathworld urlname UnitCube title Unit cube Category Euclidean solid geometry Category One Category Cubes Elementary geometry stub et hikkuup es Cubo unitario it Cubo unitario he nl Eenheidskubus pt Cubo unit rio ru sl Enotska kocka sv Enhetskub zh ... more details
beefbox name Beef Cuts image BeefCutRound.svg caption beefcut Round steaktype Cube Steak footnotes Cube steak is a cut of beef , usually round steak top round or sirloin steak top sirloin , tenderize d by fierce pounding with a meat mallet , or use of an electric tenderizer. Many professional cooks insist that regular tenderizing mallets cause too much mashing to produce a proper cube steak, and insist on either using specialized cube steak machines, or manually applying a set of sharp pointed rods to pierce the meat in every direction. This is the most common cut of meat used for chicken fried steak . Minute steak In Canada as well as in some parts of the United States, cube steak may be called a minute steak, because it can be cooked quickly. Others distinguish minute steak as ref cite web author Randal W. Oulton url http www.practicallyedible.com edible.nsf pages cubesteak title Cube Steak publisher Practicallyedible.com date accessdate 2009 06 20 ref simply referring to the cut, which is not necessarily tenderized thinner than cube steak hence does not need tenderizing cut from sirloin or round, while cube steak cut is from chuck or round. The term minute steak is also used in the United Kingdom, where the term cube steak is little known. Notes refs See also Swiss steak meat stub Category Cuts of beef id Lamosir sv L vbiff ... more details
div class floatright Image Soma cube disassembled.jpg thumb none The pieces of a Soma cube with extra coloring Image Soma cube assembled.jpg thumb none The same puzzle, assembled into a cube div The Soma cube is a mechanical puzzle solid dissection puzzle invented by Piet Hein Denmark Piet Hein in 1933 ref cite web url http www.fam bundgaard.dk SOMA NEWS N030310.HTM title The birth of SOMA accessdate 2010 12 04 author Ole Poul Pedersen editor Thorleif Bundgaard year 2010 month February ref during ... must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other Three dimensional space 3D shapes. The pieces of the Soma cube consist of all possible combinations of four ... into a cube. The Soma cube is often regarded as the 3D equivalent of polyomino es. There are interesting ... Mathematical Plays contains a detailed analysis of the Soma cube problem. There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections these are easily generated by a simple ... side. Image Soma lscrew.svg 60x40px Left screw tetracube unit cube placed on top of anticlockwise ... cube placed on top of clockwise side. Chiral in 3D. Image Soma branch.svg 60x40px Branch tetracube unit cube placed on bend. Not chiral in 3D. Trivia Similar to Soma cube is the 3D pentomino puzzle, which ... rosewood version of the Soma cube manufactured by Theodor Skj de Knudsen s company Skj de Skjern of Denmark ... Parker Brothers . Plastic Soma cube sets were also commercially produced by Parker Brothers in two colors blue and red during the 1970s. References Reflist See also Triomino Tetromino Bedlam cube , a 4X4X4 sided cube puzzle tangram External links commons Soma cube Soma cube http www.mathematik.uni bielefeld.de sillke POLYCUBE SOMA cube secrets http mathworld.wolfram.com SomaCube.html Soma Cube ... user TwoDoorsOpenaFriends?feature mhee p u 7 9ngzN2RQEtM SOMA CUBE ANIMATION by TwoDoorsOpen and Friends ... ca Cub Soma de Somaw rfel es Cubo Soma eo Kubo de Soma eu Soma kuboa fr Cube Soma ko it Cubo ... more details
infobox graph name Bidiakis cube image Image Bidiakis cube hamiltonian.svg 220px image caption The Bidiakis cube namesake vertices 12 edges 18 automorphisms 8 dihedral group D sub 4 sub girth 4 diameter 3 chromatic number 3 chromatic index 3 properties Cubic graph Cubic br Hamiltonian graph Hamiltonian br Triangle free graph Triangle free br Polyhedral graph Polyhedral br planar graph Planar In the mathematics mathematical field of graph theory , the Bidiakis cube is a 3 regular graph with 12 vertices and 18 edges. ref MathWorld urlname BidiakisCube title Bidiakis cube ref Construction The Bidiakis cube is a cubic graph cubic Hamiltonian graph and can be defined by the LCF notation 6,4, 4 sup 4 sup . The Bidiakis cube can also be constructed from a cube by adding edges across the top and bottom faces which connect the centres of opposite sides of the faces. The two additional edges need to be perpendicular to each other. With this construction, the Bidiakis cube is a polyhedral graph , and can be realized as a convex polyhedron . Therefore, by Steinitz s theorem , it is a k vertex connected graph 3 vertex connected simple planar graph . ref name grun Branko Gr nbaum , Convex Polytopes , 2nd edition, prepared by Volker Kaibel , Victor Klee , and Gunter M. Ziegler , 2003, ISBN 0387404090, ISBN 978 0387404097, 466pp. ref ref MathWorld urlname PolyhedralGraph title Polyhedral Graph ref Algebraic properties The Bidiakis cube is not a vertex transitive graph and its full automorphism ... square , including both rotations and reflections. The characteristic polynomial of the Bidiakis cube is math x 3 x 2 x 4 x 1 x 2 x 2 x 4 2 math . Gallery gallery Image Bidiakis cube 3COL.svg The chromatic number of the Bidiakis cube is 3. Image Bidiakis cube 3color edge.svg The chromatic index of the Bidiakis cube is 3. Image Bidiakis cube planar.svg The Bidiakis cube is a planar graph . Image Bidiakis cube.svg The Bidiakis cube constructed from a cube. gallery References reflist Category Individual ... more details
Black cube may be Blackballing Black cube art museum disambig Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ... more details
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