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50 Mathematical Puzzles algebra algebraic form Alphametics amounts of liquid arithmetic ask a friend Binary System button-hole Cardioid Clue column constructed contain the factor decimal equivalents decimal form diagonal diagram discovered divisible by 9 Earth Equator example fact Fermat Fermat's Last Theorem figures finger count fingers Geometry glass contains water glasses were equal happened hole integers interesting Join points Konigsberg Problem large number letters look loop magic square mathe mathematician matician method minus Mobius needle nine digits Note number is divisible obtained odd number Oddment 32 original number overleaf pairs of lines paper particular passengers pencil Perigal's Dissection piece of card previous Oddment probably proof Puzzles and Oddities Pythagoras radius recurring digits result right answer sevenths shapes shown sides solved STANFORD UNIVERSITY steel band strip subtract Theorem three digits Topology triangle trick whole number wine wish to multiply write a number