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That's right - this post has nothing to do with kayaking. In my free time, I am working on my Ph.D. in theoretical physics at CSU. I am studying chaos. In the course of my research, I often recreate figures from papers that I read, and the results are sometimes interesting to see. Here is a collection of the more exciting pictures. KAM torii: These figures are recreations of those shown in "Amplitude Instability and Ergodic Behavior for Conservative Nonlinear Oscillator Systems" by Walker and Ford, Phys. Rev. 1969. Conservative systems are a huge pain in the butt. These figures are Poincare sections of 4d torii. Without going into too much depth, each closed loop is a numerically solved solution to the Henon-Helies system. Each frame below shows the intersections of these trajectories with a 2d plane in this 4d phase space. With higher and higher E, more of these torii "break" and start to wander through the spaces between unbroken torii in a chaotic manner.
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The Ice Cream Game is basically a rolling game. A full set of rules can be found in the newest Colorado guidebook; Whitewater of the Southwest Rockies . What the rules boil down to is that the person who rolls the most times during a run buys everyone else ice cream. To help with the shame and heckling associated with losing the Ice Cream Game, we will be keeping a running score of the people we paddle with, and provide a public area for degrading comments. A note on the scores. The "ties" are ties for last place. Sometimes the rules have to be flexed a little, in confusing situations. The "Winning %" is calculated by taking the number of wins plus half the number of ties, and dividing by the total number of runs that person has been on. Basically, a tie is half a win and half a loss. Name Wins Losses Ties Winning % Most Recent Win/Loss Leif Anderson 13 3 8 71 Clear creek of the Ark Natalie Kramer 7 6 8 52 Clear creek of the Ark Conor Flynn 3 2 1 58 Big T