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1、1THESECONDMARTINSCIENTIFCCGARDNER-LMERICANBOOK0FMATHEMATICALPUZZLESANDDIVERSIONSTHESECONDSCIENTIFICAMERICANBOOKOFMathematicalPuzzles&DiversionsThe2ndSCIENTIFICAMERICANBookofILLUSTRATEDWITHDRAWINGSANDDIAGRAMSMARTINGARDNERMathematicalPuzzlesANEWSELECTION:fromOrigamitoRecre
2、ationalLogic,fromDigitalRootsandDudeneyPuzzlestotheDiabolicSquare,fromtheGoldenRatiototheGeneralizedHamSandwichTheorem.WithmathematicalcommentariesbyMr.Gardner,ripostesfromreadersofScientificAmerican,referencesforfurtherreadingand,ofcourse,solutions.WithanewPostscriptbyt
3、heauthorTHEUNIVERSITYOFCHICAGOPRESSMaterialpreviouslypublishedinScienti,ficAmericaniscopyrightO1958,1959,1960byScientificAmerican,Inc.MostofthedrawingsanddiagramsappearbycourtesyofScientijicAmerican,inwhosepagestheywereoriginallypublished.TheUniversityofChicagoPress,Chic
4、ago60637CopyrightO1961,1987byMartinGardnerAllrightsreserved.Published1961UniversityofChicagoPressEdition1987PrintedintheUnitedStatesofAmericaLibraryofCongressCataloginginPublicationDataGardner,Martin,1914-The2ndScientificAmericanbookofmathematicalpuzzles&diversions.Repri
5、nt.Originallypublishedasv.2ofTheScientificAmericanbookofmathematicalpuzzles&diversions.NewYork:SimonandSchuster,1961.Bibliography:p.1.Mathematicalrecreations.I.ScientificAmerican.11.Title.111.Title:SecondScientificAmericanbookofmathematicalpuzzles&diversions.QA95.Gl61987
6、793.7'487-10760ISBN0-22628253-8(pbk.)ForJ.H.G.wholikestotacklepuzzlesbigenoughtowalkuponCONTENTSINTRODUCTIONTheFivePlatonicSolids[Answersonpage221HenryErnestDudeney:England'sGreatestPuxxlist[Answersonpage411DigitalRoots[Answersonpage601NineProblems[Answersonpage561TheSom
7、aCube[Answersonpage'771RecreationalTopology[Answersonpage881Phi:TheGoldenRatio[Answersonpage1021TheMonkeyandtheCoconuts[Answersonpage1101RecreationalLogic[Answersonpage1271MagicSquaresJamesHughRileyShows,Inc.[Answersonpage1491NineMoreProblems[Answersonpage1561Eleusis:The
8、InductionGame[Answersonpage1'7218Contents16.Origami[Answersonpage184117.SquaringtheSquare18618.Mechanic
