TantrixIntroductionOriginal Tantrix Puzzle (Crazy Tantrix)About the background of this pageTantrix Xtreme PuzzleThe Super 5 PuzzlesThree Pyramid PuzzlesThe Rainbow PuzzlesThe Discovery PuzzlesThe "Unsolved" puzzlesMy own puzzlesThe Rock Tips on solving a loop puzzleSolutions to the Original PuzzleSolutions to Tantrix XtremeSolutions to the Super 5 puzzlesSolutions to the Pyramid PuzzlesSolutions to the Rainbow PuzzlesSolutions to the Discovery PuzzlesSolutions to the "Unsolved" puzzlesSolutions to my own puzzlesSolutions to the Rock Introduction Tantrix is the brand name for a set of hexagonal Bakelite tiles. Each tile has three lines, of different colours, which go from one side to another. Some sets of tiles can be use as puzzles, in which you have to arrange the tiles so that the edges match in colour, thus forming coloured lines or even loops. There are three kinds of line segments - straights, bends, and corners - and these lead to four different types of Tantrix tile: Three corners 1. 2.
Analyzing Rubik's Cube with GAPThis is an updated GAP 4 version of a GAP 3 example by Martin Schönert, 1993. An almost classical permutation group of small degree is examined with some elementary GAP commands. The output given here has been produced by GAP 4.4, the input is available in form of a plain GAP 4 input file. Ideal Toy Company stated on the package of the original Rubik cube that there were more than three billion possible states the cube could attain. We consider the group of transformations of Rubik's magic cube. +--------------+ | | | 1 2 3 | | | | 4 top 5 | | | | 6 7 8 | | | +--------------+--------------+--------------+--------------+ | | | | | | 9 10 11 | 17 18 19 | 25 26 27 | 33 34 35 | | | | | | | 12 left 13 | 20 front 21 | 28 right 29 | 36 rear 37 | | | | | | | 14 15 16 | 22 23 24 | 30 31 32 | 38 39 40 | | | | | | +--------------+--------------+--------------+--------------+ | | | 41 42 43 | | | | 44 bottom 45 | | | | 46 47 48 | | | +--------------+ First we want to know the size of this group.
NetivesHive at Boardspace.netHive is a boardless board game played with Hex tiles. The structure of the game is a fairly traditional chess-like game, overlaid with an insect. theme. The goal of the game is to surround your opponent's queen bee. You can read the details in the official rules, but briefly; the pieces are played but never removed, and must always form one connected "hive". Rules Change: at boardspace the "Queen" opening has been forbidden for both black and white. Robots: Dumbot is a credible but not stellar player.
Liens & TéléchargementsLIENS : Suivez le Guide ● : Le site officiel ! On y trouve forum, compétitions officielles, mais surtout le Rubik’s Shop où on peut tout trouver…(en anglais) ● : Le site n°1 des cubistes ! ● Le forum Français du Rubik's Cube : Groupe Yahoo Rubiklub - Pour discuter avec les cubistes français de tout et de rien... ● Le site de Jessica Fridrich: Le site de la célèbre Jessica Fridrich, inventeur de la méthode de résolution qui porte son nom. ● Le site de Lars Petrus: Le site de Lars Petrus, sur lequel j’ai appris la méthode Sune. ● Le site de Gilles Roux : Un cubiste jamais à court d’idées !! ● Des applets programmables pour rubik 3*3*3 , 4*4*4 et 5*5*5 ! ● Connaissons-vous les hypercubes ? TELECHARGEMENTS : Boutique-souvenir ● L’applet java que j’utilisais, et les explications pour le programmer. ● Un programme de résolution du Rubik’s cube ( en moins de 22 mouvements, quoi qu’il arrive !) ● Un curseur de souris : complètement inutile…
Rubik's TriamidThis puzzle is a triangular pyramid of 10 odd shaped coloured pieces (actually they are truncated rhombic dodecahedra) which are held together using 4 small cubical connectors. A move consists of pulling off a small pyramid of 4 pieces, and replacing it in any orientation. The pieces have 4 faces (3 adjacent faces of the rhombic dodecahedron) which have one of four colours. For any pair of colours there is a piece with two faces of each colour. In the solved position, Each side of the pyramid has a single colour. If you restrict the moves to those which don't move a corner piece from its place, then this puzzle mimics the Pyraminx. This puzzle was patented by Rubik in Hungary on 28 March 1991 (HU 207,233), and the patent was granted two years later. Number of positions: There are 10 pieces which might be arranged in 10! This leaves 10! Solution: The moves of this puzzle are very hard to describe accurately, and I can think of no good notation for it, so this solution may be hard to follow.
Optimal solutions for Rubik's CubeA computer graphic of a scrambled Rubik's Cube There are two common ways to measure the length of a solution. The first is to count the number of quarter turns. Move notation To denote a sequence of moves on the 3×3×3 Rubik's Cube, this article uses "Singmaster notation", which was developed by David Singmaster. Lower bounds It can be proven by counting arguments that there exist positions needing at least 18 moves to solve. This argument was not improved upon for many years. Upper bounds The first upper bounds were based on the 'human' algorithms. Perhaps the first concrete value for an upper bound was the 277 moves mentioned by David Singmaster in early 1979. Thistlethwaite's algorithm Next he prepared tables for each of the right coset spaces . . . . , next to and finally to Intermediate state of the Rubik's Cube in Kociemba's algorithm. Although the whole cube group is very large (~4.3×1019), the right coset spaces and are much smaller. Kociemba's Algorithm . .
MiniclipHow Gmail destroyed Outlook. - By Farhad ManjooAs of this week, Gmail has reached perfection: You no longer have to be online to read or write messages. Desktop programs like Microsoft Outlook have always been able to access your old mail. There is a certain bliss to this; if you've got a pile of letters that demand well-composed, delicate responses (say you're explaining to your boss why you ordered that $85,000 rug), unplugging the Internet can be the fastest way to get things done. That's why offline access is a killer feature—it destroys your last remaining reason for suffering through a desktop e-mail program. Google's not alone in providing this option. To get offline access, you first need to download and install a small program called Google Gears (except if you're using Google's Chrome browser, which comes with Gears built in). Now that Gmail has bested the Outlooks of the world, it's a good time to assess the state of desktop software. The shift has been a long time coming.
V-CUBES™ - Create your own V-CUBE onlinePersonalize your Cube and Create your OWN!! design. Choose the V-CUBE™ 2 or V-CUBE™ 3 with flat or our unique “pillow” shape and produce your images and designs in high quality 4C print-outs. No borders are required and smooth continuity between the layers is achieved so that themes extending over multiple faces are perfected!! You can choose glossy or matte finishing for your cube. Use our new innovative, “purpose made” web application and create the perfect cube, just as imagine! Create Your Cube offers the perfect opportunity to personalize your V-Cube using your imagination and creativity. It’s ideal for cubers searching for new, challenging concepts, companies looking for a unique corporate gift, as well as designers pursuing new items and surfaces to express their creativity and everyone who finds the cube interesting as an object.