Richard Pendered and Frank Lewis, Codebreakers, pass away at 89 and 98. How to Win at Coin Flipping I also wrote a blog on the mathematics of Coin Flipping. William Wulf developed the BLISS programming language.Īlan Turing developed many of the initial concepts of computers. Thomas Eugene Kurtz developed the BASIC programming language.Įd Logg developed Centipede and Gauntlet. Tim Berners-Lee developed the World Wide Web. I did like the movie, but I think it would have been better with more mathematics. I haven't been able to figure out some of the other names yet. Tron: Legacy Easter Egg I wrote a Tron: Legacy blog, and listed the scientist names I recognized in the Disk game scene. We also describe algorithms to use nimbers efficiently and finally, we give a review of the results obtained on two impartial games: Sprouts and Cram. The concept of nimber is therefore inevitable to solve impartial games, even when we only try to determinate the winning or losing outcome of a starting position. We prove that in order to compute the outcome of a sum of independent positions, it is always more efficient to compute separately the nimbers of each independent position than to develop directly the game tree of the sum. Nimbers are inevitable Julien Lemoine, Simon Viennot ( ): This article concerns the resolution of impartial combinatorial games, and in particular games that can be split in sums of independent positions. For some of these tiles we give a particularly simple formula for the Hausdorff dimension of their boundary. Finally, we show how the automatic structure of the sequences leads to self-similarity of the curves, which turns the planefilling curves in a scaling limit into fractal tiles. We generalize the results obtained by Davis and Knuth on the self-avoiding and planefilling properties of these curves, giving simple geometric criteria for a complete classification. The sequences generate curves in the plane with an almost periodic structure. Paperfolding morphisms, planefilling curves, and fractal tiles Michel Dekking ( ): An interesting class of automatic sequences emerges from iterated paperfolding. Erich Friedman's Holiday Puzzles Erich has put together a new set of holiday puzzles. I SHOULD HAVE KNOWN BETTER Remove the letters HKRBI from "I should have known better" to get an item in the news. I recognized a Tower of Hanoi puzzle, but I couldn’t recognize any of the other puzzles. The pictures show mazes by me and by Andrea, and they also show tables where the kids are playing various small mathematical puzzles. One of the festivals was in Lima, Peru, and the organizers sent me some fantastic pictures, which are now on my site. These festivals all try to show kids the fun side of mathematics and logic. But something more important is going on here. Mostly I talk about the use of walk-through Logic Mazes in cities, and I discuss three festivals that used them. City Mazes Robert Abbott: I just added something to my web site about City Mazes, and I thought you might want to say something about it. Wolfram|Alpha Spikey A couple years back I designed a cutout for W|A Spikey, and a lot of people have now built and photographed Spikeys. Raster Tournament Dice Deadly Rooms of Death Fair Dice Chessboard Tasks A Zillion Connection Games Keen Approximations NUMB3RS TV show Cyclopedia of Puzzles Sliding-block Puzzles Rulers and Gracefulness Hoffman-Singleton Game Ten Trillion Zeta Zeros Evil Numbers Manifolds in Genesis 64K or Less - Demoscene Modern Burr Puzzles Egyptian Fractions Nob Yoshigahara 2D Turing Machines WireWorld Multiplication Crossword Rules The Quantian Distribution Integer Complexity Supermagnetic Polyhedra Gaussian Numbers Number Games Guilloché Patterns Prime Megagap Wolfram Functions Site Cubic Symmetric Graphs Superflu Modeling Domino Graphs Sequence Pictures Square Packing Multi-state Mazes Loculus of Archimedes Matrix Revolutions Möbius Function Paterson's Worms Revisited Math Games Social Golfer Problem Wolfram Demonstrations Dodecahedral Tilings Power Sums Melbourne: City of Math Snakes on a Plane Prime-generating Polynomials The Fano Plane G4G7 Kobon Triangles Beautiful References Times Square Magic From Keyfobs to Ringtones Sudoku Variations Vector vs.
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