Mathemagic (magic tricks).pdf

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1、ContentsForewordixElwynBerlekampandTomRodgersIPersonalMagic1MartinGardner:ADocumentary3DanaRichardsAmbrose,Gardner,andDoyle13RaymondSmullyanATruthLearnedEarly19CarlPomeranceMartinGardner=Mint!Grand!Rare!21JeremiahFarrellThreeLimericks:OnSpace,Time,andSpeed23Tim

2、RowettIIPuzzlers25AMazewithRules27RobertAbbottBiblicalLadders29DonaldE.KnuthCardGameTrivia35StewartLamleCreativePuzzleThinking37NobYoshigaharavviContentsNumberPlay,Calculators,andCardTricks:MathemagicalBlackHoles41MichaelW.EckerPuzzlesfromAroundtheWorld53Richar

3、dI.HessOBeirnesHexiamond85RichardK.GuyJapaneseTangram(TheSeiShonagonPieces)97ShigeoTakagiHowaTangramCatHappilyTurnsintothePinkPanther99BernhardWiezorkePollysFlagstones103StewartCoffinThosePeripateticPentominoes107KateJonesSelf-DesigningTetraflexagons117RobertE.Ne

4、aleTheOdysseyoftheFigureEightPuzzle127StewartCoffinMetagrobolizersofWire131RickIrbyBeautifulbutWrong:TheFloatingHourglassPuzzle135ScotMorrisCubePuzzles145JeremiahFarrellTheNineColorPuzzle151SivyFahriTwice:ASlidingBlockPuzzle163EdwardHordernPlanarBurrs165M.Oskarv

5、anDeventerContentsviiBlock-PackingJambalaya169BillCutlerClassificationofMechanicalPuzzlesandPhysicalObjectsRelatedtoPuzzles175JamesDalgetyandEdwardHordernIIIMathemagics187ACuriousParadox189RaymondSmullyanAPowerfulProcedureforProvingPracticalPropositions191Solomo

6、nW.GolombMisfiringTasks193KenKnowltonDrawingdeBruijnGraphs197HerbertTaylorComputerAnalysisofSprouts199DavidApplegate,GuyJacobson,andDanielSleatorStrangeNewLifeForms:Update203BillGosperHollowMazes213M.OskarvanDeventerSomeDiophantineRecreations219DavidSingmasterWh

7、oWinsMisèreHex?237JeffreyLagariasandDanielSleatorAnUpdateonOddNeighborsandOddNeighborhoods241LeslieE.ShaderPointMirrorReflection245M.OskarvanDeventerHowRandomAre3x+1FunctionIterates?253JeffreyC.LagariasForwardMartinGardnerhashadnoformaleducationinmathematics,but

8、hehashadanenormousinfluenceonthesubject.Hiswritingsexhibitanextraor-dinaryabilitytoconveytheessenceofmanymathematicallysophisticatedtopicstoaverywideaudience.Inthewordsfirstut