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Sicherman Dice (proof using factoring)

Author:Michael Borcherds
Topic:Algebra, Probability
What combination of sliders still gives 6-sided dice? See these links for more information: https://en.wikipedia.org/wiki/Sicherman_dice http://buzzard.ups.edu/courses/2010spring/projects/jenkins-sicherman-dice-ups-434-2010.pdf https://www.math.upenn.edu/~wilf/gfologyLinked2.pdf https://outofthenormmaths.wordpress.com/2012/03/22/dice-and-dissection-a-puzzle/#more-956 https://web.math.ucsb.edu/~padraic/mathcamp_2010/class_generating_functions/lecture3_dice.pdf

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