Instrument here is the notion of transposition. Which we can glean, if not complete answers, at least some information on solvability of this puzzle. The Graph Theory sets this puzzle in a general framework from The given two counters,Īs the result of this sequence of moves, swap their locations. Sequence of moves that leaves all counters but the given two untouched. The proof is based on the assertion that for any two adjacent counters there exists a On a torus, every 4x4 configuration is solvable. Furthermore, I am going to prove the following Proposition For example, swapping the counters 14 and 15ĭoes not result in an unsolvable arrangement. Superficial similarity notwithstanding, this puzzle is much different from the Puzzle, I, acting on his advice and donning pragmaticīrown Brogues, used a Pentium 100 mongrel and reusable components to accomplish my job more So downloading it took a while which I fruitfully used to write this applet.Įdward de Bono once wrote a book ( Six Action Shoes) on a flight from London, England, toĪuckland, New Zealand on a Psion MC400 mobile computer. I discovered e-mail from Microsoft with a free trial offer of their VisualJ++. One reason I decided to implement this puzzle is that upon logging into my account

If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet. This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Two small squares on the left and right from the game board indicate the selected surface. The difference is in how points on the sides of the square are identified with each Surfaces on which the game can be played - Klein bottle and Projective This is very much akin to the Rubik's Cube but played This means, for example, that the first element becomes Position rows and columns rotate not just slide. This by sliding either whole columns or whole rows.

Starting with 0 in the left upper corner and proceeding right and down. The goal in this puzzle is to order the numbers sequentially in their natural order

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