Mathematical carnival: from penny puzzles, card shuffles and tricks of lightning calculators to roller coaster rides into the fourth dimension
Games ranging from the simple to the practically impossible illustrate basic mathematical concepts of their origins and instructions for their procedure
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Sprouts and Brussels Sprouts
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Aitken aleph aleph-null aleph-one angle answer apex asked binary Biorhythm bottom calculators called Cantor cell chain circle coins compass and straightedge Conway corner cube curve cycle decimal diagonal digital root digits divide Dudeney edges Escher exponent face faro faro shuffles finite number Fliess formula four four-space fraction Freud geometry glass graph hexomino hourglass hypercube infinity inside integers intersection John Horton Conway kayles line segment loop magic constant magic square mathematical mathematicians minimum moves multiplier nine obtained out-shuffles Pascal's triangle pattern pennies pentagram Piet Hein plane play points polycube possible problem procedure proof puzzle random numbers reader recreational mathematics rectangle rotation Scientific American second player sequence shown in Figure shuffle side solution spot sprouts squad car starting position subset superegg superellipse tesseract theory three-space ticktacktoe tion top card triangular trick trisected tube turn zero