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Wetten, dass..? vom 5. November
I invented a new scrambler/notation for the megaminx, much easier and faster to use than the previous WCA one (from which I stole the basic image). By now the WCA has adopted it. Look at the pictures below. Hold the megaminx with your left hand, the blue corner-edge-corner triple with thumb and index finger, the other fingers help hold the rest of the puzzle. The right hand makes the moves. An R turn moves the whole puzzle except the left layer, a D turn moves the whole puzzle except the top layer, a U turn moves the top layer.
Now an example scramble:
R-- D++ R++ D-- R++ D-- R++ D++ R-- D-- U' R++ D-- R++ D-- R-- D++ R-- D-- R-- D-- U' R++ D++ R-- D++ R++ D++ R++ D++ R-- D++ U R-- D-- R++ D++ R++ D++ R-- D++ R++ D++ U R-- D++ R++ D-- R++ D-- R++ D++ R++ D++ U R++ D++ R++ D++ R-- D-- R-- D-- R-- D-- U' R-- D++ R-- D++ R++ D++ R++ D++ R++ D++ U
Notice that "++" means two-fifth turns clockwise (in the direction of the arrow) and "--" means two-fifth turns counterclockwise (against the direction of the arrow). It's intentional that there are only two-fifth turns and no one-fifth turns, I believe this improves the scramble quality.
If you want to discuss this scrambler/notation, please visit the WCA forum thread or the speedsolving.com forum thread. This page describes the result of my own experiments as well as feedback from others. If further improvements turn up, you'll find them on this page here.
If you're able to analyze the quality of scrambles like I suggested early in the WCA thread, your results would be very welcome.
Here's one analysis, my computation (source code) of the probabilities of where each center will end up:
DLB DLF DRB URF ULF B F U URB DRF ULB D min max sum pink 8.329 8.329 8.326 8.338 8.341 8.327 8.340 8.347 8.338 8.327 8.340 8.320 8.320-8.347 => 100.000 blue2 8.329 8.329 8.326 8.338 8.341 8.327 8.340 8.347 8.338 8.327 8.340 8.320 8.320-8.347 => 100.000 orange 8.347 8.347 8.329 8.320 8.338 8.336 8.331 8.321 8.320 8.336 8.331 8.346 8.320-8.347 => 100.000 purple 8.338 8.338 8.341 8.329 8.326 8.340 8.327 8.320 8.329 8.340 8.327 8.347 8.320-8.347 => 100.000 turquoise 8.320 8.320 8.338 8.347 8.329 8.331 8.336 8.346 8.347 8.331 8.336 8.321 8.320-8.347 => 100.000 green2 8.340 8.340 8.328 8.327 8.339 8.332 8.334 8.331 8.327 8.332 8.334 8.336 8.327-8.340 => 100.000 green 8.327 8.327 8.339 8.340 8.328 8.334 8.332 8.336 8.340 8.334 8.332 8.331 8.327-8.340 => 100.000 white 8.326 8.326 8.347 8.341 8.320 8.339 8.328 8.329 8.341 8.339 8.328 8.338 8.320-8.347 => 100.000 blue 8.338 8.338 8.341 8.329 8.326 8.340 8.327 8.320 8.329 8.340 8.327 8.347 8.320-8.347 => 100.000 red 8.340 8.340 8.328 8.327 8.339 8.332 8.334 8.331 8.327 8.332 8.334 8.336 8.327-8.340 => 100.000 brown 8.327 8.327 8.339 8.340 8.328 8.334 8.332 8.336 8.340 8.334 8.332 8.331 8.327-8.340 => 100.000 yellow 8.341 8.341 8.320 8.326 8.347 8.328 8.339 8.338 8.326 8.328 8.339 8.329 8.320-8.347 => 100.000
Stefan Pochmann
Last modified: November 02 2009, 17:23:36