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Encyclopedia results for Bouillon cube

Bouillon cube





Encyclopedia results for Bouillon cube

  1. Minus Cube

    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



  1. Magic cube

    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



  1. Pocket Cube

    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



  1. KR Cube

    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



  1. Snake cube

    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



  1. Tower Cube

    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



  1. Yoshimoto Cube

    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



  1. Bedlam cube

    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



  1. Unit cube

    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



  1. Cube steak

    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



  1. Soma cube

    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



  1. Bidiakis cube

    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



  1. Black cube

    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



  1. The Cube (game)

    Multiple issues wikify February 2012 primarysources August 2010 orphan February 2009 The Cube is a Kokology game about self image self knowledge and is played by asking a person to imagine and describe a set of three to five objects. The game is usually played by two people. One person is designated as the narrator, and the other is the interpreter. Usually these roles are swapped after successful interpretation. The Cube is a way of judging somebody s personality by the way they narrate the following. The narration phase While there are slight variations of the game from person to person, the game begins by asking another person to imagine a desert scene. The game then follows by asking the person to place and describe a cube in the scene. Once the cube is completely described, the narrator of the game then asks for the player to describe a ladder that is also placed in the scene. This process continues with a horse, a storm, and finally, foliage and or flowers. Once the narrator has an understanding of the scene described, he or she may assist the player in interpreting the scene. External links http www.amazon.com dp 0786882573 Secrets of the Cube by Annie Gottlieb, Slobodan D. Pesic http www.amazon.com dp 0062512668 The Cube Keep the Secret by Annie Gottlieb, Slobodan D. Pesic References Annie Gottlieb, Slobodan D. Pesic, Secrets of the Cube The Ancient Visualization Game That Reveals Your True Self, Hyperion http www.infoplease.com spot colors1.html Color Psychology DEFAULTSORT Cube, The Category Educational board games es Cubo psicologia ...   more details



  1. Void Cube

    File Void Cube.jpg thumb right 200px Solved. The Void Cube is a Three dimensional space 3 D mechanical puzzle similar to a Rubik s Cube , with the notable difference being that the center cubes are missing, which causes the puzzle to resemble a level 1 Menger sponge . The central spider used on the Rubik s Cube is also absent, creating holes straight through the cube on all three axes. Due to the restricted ... 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 Void Cubes. Solution The Void Cube is slightly more difficult than a regular Rubik s Cube due to parity physics parity . The lack of center cubes alters the parity considerations. A 90 rotation of a face either on the regular Rubik s Cube or on the Void Cube swaps the positions of eight cubes in two, odd parity, four cycles. Overall ... cube a 90 rotation of the whole cube about a principal axis swaps the positions of 24 cubes in six, odd parity, four cycles. On the regular cube a whole cube rotation is an even permutation. On the other hand, lacking center cubes, a 90 whole cube rotation on the Void Cube swaps 20 cubes in five, odd parity, four cycles. Thus, a whole cube rotation on the Void Cube is an odd permutation. In consequence, on the Void Cube turning the faces of the cube together with whole cube rotations can produce ... odd parity arrangements are not possible on the regular Rubik s Cube and afford the solver an additional ..., the set of moves that will transform a solved Rubik s Cube into any of the cat s eye or snake ... the surrounding, instead result in another solution on a void cube. Internal Mechanism File Disassembled Void Cube.JPG thumb right 200px Disassembled Void Cube. The parts of a Void Cube are 20 cubelets ... pieces are akin to the sides of an internal cube. Each one is free to rotate without any obstruction ... stub Rubik s Cube Category Rubik s Cube fr Void Cube it Void Cube nl Void Cube ja ...   more details



  1. Cube (company)

    notability Companies date September 2010 primary sources date September 2010 Infobox Company company name CUBE company logo Image Cube Logo.jpg 160px company type Public company Public foundation 1993 location Waldershof , Germany key people Bastian R ler President br Marcus P rner Founder industry Bicycle Bicycle manufacturing products Bicycle s homepage http www.cube.eu en cube bikes www.cube.eu CUBE is a german bicycle manufacturer, producing many types of bikes, but is best known for their mountain bikes. The company was founded 1993 from the former student Marcus P rner, beginning with an area of 50 m in his father s furniture factory. ref Interview with Marcus P rner in german http www.youtube.com watch?v BHG1KF1rrwI ref Today the company has expanded its production area to 20.000 m and selling to over 33 countries, especially Europe. References references External links http www.cube.eu en cube bikes Cube EU Site DEFAULTSORT Cube Company Category Cycle manufacturers of Germany Category Companies based in Bavaria Category Mountain bike manufacturers de Cube Fahrradmarke ja ...   more details



  1. 36 cube

    File 36Cube.JPG right thumb 36 Cube puzzle in box. The 36 Cube is a three dimensional sudoku puzzle created by ThinkFun . The puzzle consists of a gray base that resembles a city skyline, plus 36 colored towers. The towers come in six different colors and six different heights. The goal of the puzzle is to place all the towers onto the base so as to form a level cube with each of the six colors appearing once, and only once, in each row and column. The 36 cube was invented by Dr. Derrick Niederman , a PhD. at MIT . He came up with the idea while writing a book on whole numbers , after unearthing an 18th century mathematical hypothesis. ref See Derrick Niederman . ref This supposition, the 36 officer problem , requires placing six regiments of six differently ranked officers in a 6 x 6 square without having any rank or regiment in the same column. ref See Thirty six officers problem . ref Such an arrangement would form a Graeco Latin square . ref See Graeco Latin square . ref Euler conjectured there was no solution to this problem. Although Euler was correct, his conjecture was not settled until Gaston Tarry came up with an exhaustive proof in 1901. ref See Gaston Terry . ref However, ThinkFun s 36 cube puzzle does have a number of solutions, ref http www.thinkfun.com ref which nevertheless demonstrate the validity of Euler s hypothesis. OriginalResearch date October 2011 Euler s 36 officer problem is a mental challenge, which can be attempted either in one s head or on paper, whereas the 36 cube is a mechanical puzzle that must be played on a manufactured grid. Therefore, it requires some abstract thinking, and a certain amount of special insight. Awards 36 Cube ASTRA Best Toy for Kids List 2009 36 Cube Parents Choice Gold Award 2009 iParenting Media Awards Best Products of 2009 ref http www.thinkfun.com Awards.aspx?PageNo AWARDS game ref Related links Derrick Niederman 36 Cube inventor References references DEFAULTSORT 36 Cube Category Sudoku ar 36 de 36 Cube ...   more details



  1. Hilbert cube

    In mathematics , the Hilbert cube , named after David Hilbert , is a topological space that provides an instructive example of some ideas in topology . Furthermore, many interesting topological spaces can be embedded in the Hilbert cube that is, can be viewed as subspaces of the Hilbert cube see below . Definition The Hilbert cube is best defined a topological product of the interval mathematics intervals 0,  1 n for n     1,  2,  3,  4,  ... That is, it is a cuboid of countably ... math lbrace 1 n rbrace n in mathbb N math . The Hilbert cube is homeomorphism homeomorphic ..., it is topologically indistinguishable from the unit cube of countably infinite dimension. If a point in the Hilbert cube is specified by a sequence math lbrace a n rbrace math with math 0 leq a n leq 1 n math , then a homeomorphism to the infinite dimensional unit cube is given by math h a n rarr n cdot a n math . The Hilbert cube as a metric space It s sometimes convenient to think of the Hilbert cube as a metric space , indeed as a specific subset of a Hilbert space with countably infinite dimension ... no difference. That is, an element of the Hilbert cube is an infinite sequence x sub n sub that satisfies ... cube inherits a metric from there. One can show that the topology induced by the metric is the same ... compact Hausdorff space s, the Hilbert cube is itself a compact Hausdorff space as a result of the Tychonoff ... 2 sub are finite dimensional. The Hilbert cube shows that this is not the case. But the Hilbert cube ..., so that an open ball around p of any fixed radius e 0 must go outside the cube in some dimension. Every subset of the Hilbert cube inherits from the Hilbert cube the properties of being both ... cube. Trivially, every G sub sub subset of the Hilbert cube is a Polish space , a topological ... set G sub sub subset of the Hilbert cube. ref Srivastava Srivastava , pp. 55 ref Notes reflist 2 ... MathSciNet id 507446 year 1995 postscript None Category Topological spaces de Hilbertw rfel fr Cube ...   more details



  1. Professor's Cube

    Image 5 5 5 size comparison.jpg thumb right 250px Official Professor s Cube left V Cube 5 center and Eastsheen 5 5 5 right . The Professor s Cube is a mechanical puzzle , a 5 5 5 version of the Rubik s Cube . It has qualities in common with both the original 3 3 3 Rubik s Cube and the 4 4 4 Rubik s Revenge , and knowing the solution to either can help when working on the 5 5 5 cube. Naming Image V Cube 5 in Package.JPG thumb right The V Cube 5 in original packaging. Early versions of the 5 5 5 cube sold at Barnes & Noble were marketed under the name Professor s Cube, but currently, Barnes and Noble ... 5 5 cube called the Professor s Cube. This version has colored tiles rather than stickers. ref http www.mefferts.com products details.php?lang en&category 13&id 238 Meffert s Professor s Cube ref Verdes Innovations sells a version called the V Cube 5. ref http www.v cubes.com prod info v cube5.php Verdes Innovations V Cube 5 page ref Workings Image Professors cube.jpg 200px thumb left Scrambled. The original Professor s Cube design by Udo Krell works by using an expanded 3 3 3 cube as a mantle with the center ... to the 3 3 3 cube. All non central pieces have extensions that fit into slots on the outer pieces of the 3 3 3, which keeps them from falling out of the cube while making a turn. The fixed centers have ... of the cube. ref name Eastsheen patent http www.freepatentsonline.com 6129356.html United States Patent 6129356 ref The V Cube 5 mechanism, designed by Panagiotis Verdes, has elements in common ... version of the puzzle. Unlike the original 5 5 5 design, the V Cube 5 mechanism was designed with speedcubing ... States Patent 20070057455 ref gallery Image Professor s Cube disassembled.jpg A disassembled Professor s Cube. Image V Cube 5 disassembled.jpg A disassembled V Cube 5. Image Disassembled Eastsheen 5x5x5.jpg A disassembled Eastsheen cube. gallery Durability Howto date August 2010 Image 5 5 5 misaligned.jpg thumb right 150px An original cube with a misaligned center. This cannot occur on the Eastsheen ...   more details



  1. Data cube

    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



  1. I:Cube

    I Cube is the Pseudonym alias of France French music producer Nicolas Chaix . Paris based, he first gained limelight on Paris underground dance scene in the mid to late 90s. His first widely notable release under this pseudonym was a remix of Daft Punk Daft Punk s Around the world in 1996. Daft Punk later returned the favor, remixing I Cube s own track Disco Cubizm also released in 1996. I Cube s first LP, Picnic Attack , followed in 1997 His music appears on many compilation albums such as the Hotel Costes series. Albums 1997 Picnic Attack 1999 Adore 2003 3 2006 Live At The Planetarium Audio links http rbmaradio.com ARCHIVE.153.0.php?extID 0&showID 25 RBMA Radio On Demand Train Wreck Mix I Cube Versatile, Paris Persondata Metadata see Wikipedia Persondata . NAME I Cube ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT I Cube Category French record producers Category Remixers Category Dance musicians Category French musicians Category Living people France musician stub fr I Cube ...   more details



  1. Helicopter Cube

    Cube, black body The Helicopter Cube is a Rubik s Cube like puzzle invented by Adam G. Cowan in 2005 ... Cube was conceived by Adam G. Cowan in 2005, but wasn t built until 2006, when Adam discovered that 3D ... other 3256 helicopter cube white body title Helicopter Cube White Body publisher Puzzle Master ... Puzzling author Goetz Schwandtner accessdate 2010 09 01 quote Helicopter Cube black ... By Adam ... puzzle yet. It is a variation on Adam G. Cowan s Helicopter Cube. ref ref cite web title System of twisty puzzles url http deep cut.net system single cut.htm quote Helicopter Cube was designed and built ... 01 ref ref name fan2cube cite web url http fan2cube.free.fr helicopter1.php title L Helicopter Cube ... Cube accessdate 2010 09 01 publisher Puzzle Forge author Jason Smith ref It is also in the shape of a cube , but cut differently, and twists around cube edges rather than cube faces. The purpose ... color per face. Description Image Helicube scrambled.jpg thumb left Helicopter cube, scrambled The Helicopter Cube is made in the shape of a cube, cut into 8 corner pieces and 24 face center pieces ... s Cube, its faces do not rotate rather, the pieces are scrambled by rotating around a cube edge. There are two variants of the Helicopter Cube the one manufactured by The Twisty Store sold also ... pieces, but preserves the cube shape. The entire puzzle can be scrambled in this way. However, it is also ... spikes rather than lie flat on the face of the cube. More subtle changes may also be introduced, which ... Thoroughly jumbled helicopter cube Solutions Image Helicube white.jpg thumb right M ffert s Helicopter Cube, white body, solved If the puzzle is only scrambled using 180 twists, then it is obviously solvable ... returned to cube shape, it may not be possible to solve it using only 180 twists. The reason ... Cube has math frac 7 cdot 3 6 cdot 6 4 2 math combinations. ref name fan2cube The expanded number is 493 ... , another shape changing cubical puzzle. References Reflist Rubik s Cube Category Rubik s Cube ...   more details



  1. Spam Cube

    Infobox Company company name Spam Cube company logo Image Spamcube logo.png company type Privately held company Private foundation 2002 founder Joseph P. Marino, Jonathan Fortin key people David J. Soares industry Information Technology products SaaS Networking Products company slogan Plug it in. Stop spam and viruses. Image SpamCubePic.jpg thumb right 235px A picture of a silver Spam Cube. Spam Cube, Inc was a high tech startup company based in the midtown area of New York City. The company invented and manufactured the Spam Cube, a SaaS Security As A Service network security hardware device for consumers ... that blocks spam e mail, computer viruses and phishing. The Spam Cube SaaS platform gave the consumer ... url http www.ny1.com Default.aspx?SecID 1000&ArID 58134 title Spam Cube Could Solve Many Of Your Online ... 2005, the company ran into a costly legal battle with Hormel Foods over its trademark Spam Cube . Hormel Foods claimed that the company s Spam Cube brand name was causing confusion amongst consumers, and that consumers were not be able to tell the difference between the Spam Cube a cube shaped home network security device and Hormel s cube shaped SPAM canned meat product. In February 2008, the company ... ttabvue v?pno 91171346&pty OPP title Hormel Foods Corporation v. Spam Cube, Inc publisher ...? publisher DirectMag accessdate June 21, 2006 ref Competitors Three years after Spam Cube released ... Defender. Linksys and Trend Micro now compete directly with Spam Cube for market share in the embedded ... reflist External links http www.spamcube.com Spam Cube, Inc Home Page http query.nytimes.com search ... innews newspapers SpamCube.NY.Times.03.30.06.jpg Picture of Spam Cube article on the front ... 101&aid 58134 NY1 interview with David J. Soares, CBDO of Spam Cube http abcnews.go.com Video playerIndex?id 1850688 ABC News interview with Joseph P. Marino, CEO of Spam Cube http www.linkedin.com companies spam cube Spam Cube s LinkedIn Company Profile Use mdy dates date November 2010 Category Companies ...   more details



  1. GT Cube

    Unreferenced date May 2010 Unreferenced auto yes date December 2009 Infobox VG title GT Cube image Image GT Cube.jpg 256px caption Cover art developer MTO video game company MTO publisher MTO released Vgrelease JP June 20, 2003 genre Racing video game Racing platforms Nintendo GameCube GameCube GT Cube is a Racing video game racing video game release in 2003 by MTO video game company MTO for Nintendo GameCube GameCube . The game was re released as GT Pro Series for Wii in 2006. DEFAULTSORT Gt Cube Category 2003 video games Category Japan exclusive video games Category Nintendo GameCube only games Category Racing video games Racing videogame stub ja GT CUBE pt GT Cube ...   more details



  1. Happy Cube

    Image HappyCubeParisModel.jpg thumb right 250px The Red Happy Cube Happy Cubes are a set of mechanical puzzles created in 1986 by the Belgium Belgian toy inventor Dirk Laureyssens . The company Happy bvba has the exclusive license to manufacture and sell these puzzles http www.cricro.com inventor index.html .Happy Cubes are also known by a number of other names, among them Cube It cubes, Wirrel Warrel ... a perfect, 6 sided cube out of these 6 pieces. Usually, there is only one way to fit the pieces into a complete cube and it can be reached with various levels of difficulty by trial and error. Variations There are four families of Happy Cube puzzles, each containing 6 different cubes. Each family ... by color. The four families of Happy Cube puzzles are The Little Genius Textured with various ... aged three to seven years. The Happy Cube Plainly colored with a single color each and with no texture .... The Profi Cube Textured with two interleaving colors, slightly harder to build than the Happy ... dominant color similar in shade to the first one. The Marble Cube Textures as colored marble ... a single perfect cube from the 6 pieces of a single puzzle which share the same color scheme and texture ... which they came. With the presence of more than one puzzle available, pieces of several different cube ... 6 faced cube. Some structures are more difficult to construct than others and the more pieces available ... of the most popular complex structures are the 2 2 2 cube which is a perfect cube with each face ... cube sized common center all in all, 30 pieces . Several computer applications exist to aid ... s home page http happysolver.sourceforge.net The Happy Cube Solver An interactive application which solves happy cube puzzles and uses a 3D graphical user interface. http thomer.com wirrel Happy Cube Wirrel Warrel Solver The first well known Happy Cube Solver, using textual interface Category Puzzles Category Mechanical puzzles Category Educational toys de Happy Cube ...   more details




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