Sphere Packing, Lewis Carroll, and Reversi: Martin Gardner's New Mathematical Diversions PDF
Preview Sphere Packing, Lewis Carroll, and Reversi: Martin Gardner's New Mathematical Diversions
SPHERE PACKING, LEWIS CARROLL, AND REVERSI For25ofhis94years,MartinGardner wrote “Mathematical Games and Recreations,” a monthly column for Scientific American magazine. These columns have inspired hundreds of thousands of readers to delve more deeply into the large world of math- ematics. He has also made significant contributions to magic, philosophy, children’s literature, and the debunk- ingofpseudoscience.Hehasproduced more than 60 books, including many best sellers, most of which are still in print. His Annotated Alice has sold more than one million copies. He continuestowritearegularcolumnfor theSkepticalInquirermagazine. THE NEW MARTIN GARDNER MATHEMATICAL LIBRARY EditorialBoard DonaldJ.Albers, SantaClaraUniversity GeraldL.Alexanderson, SantaClaraUniversity JohnH.Conway,F.R.S., PrincetonUniversity RichardK.Guy, UniversityofCalgary HaroldR.Jacobs, U.S.GrantHighSchool,VanNuys DonaldE.Knuth, StanfordUniversity PeterL.Renz, MathematicalAssociationofAmerica From 1957 through 1986, Martin Gardner wrote the “Mathematical Games” columns for Scientific American that are the basis for these books.ScientificAmericaneditorDennisFlanagannotedthatthiscol- umn contributed substantially to the success of the magazine. The exchanges between Martin Gardner and his readers gave life to these columnsandbooks.Theseexchangeshavecontinued,andtheimpact of the columns and books has grown. These new editions give Mar- tinGardnerthechancetobringreadersuptodateonnewertwistson oldpuzzlesandgames,onnewexplanationsandproofs,andonlinks torecentdevelopmentsanddiscoveries.Illustrationshavebeenadded andexistingonesimproved,andthebibliographieshavebeengreatly expandedthroughout. 1. Hexaflexagons,ProbabilityParadoxes,andtheTowerofHanoi: MartinGardner’sFirstBookofMathematicalPuzzlesandGames 2. Origami,Eleusis,andtheSomaCube:MartinGardner’s MathematicalDiversions 3. SpherePacking,LewisCarroll,andReversi:MartinGardner’sNew MathematicalDiversions 4. KnotsandBorromeanRings,Rep-Tiles,andEightQueens:Martin Gardner’sUnexpectedHanging 5. KleinBottles,Op-Art,andSliding-BlockPuzzles:MoreofMartin Gardner’sMathematicalGames 6. Sprouts,Hypercubes,andSuperellipses:MartinGardner’s MathematicalCarnival 7. NothingandEverything,Polyominoes,andGameTheory:Martin Gardner’sMathematicalMagicShow 8. RandomWalks,Hyperspheres,andPalindromes:MartinGardner’s MathematicalCircus 9. Words,Numbers,andCombinatorics:MartinGardnerontheTrail ofDr.Matrix 10. Wheels,Life,andKnottedMolecules:MartinGardner’s MathematicalAmusements 11. KnottedDoughnuts,Napier’sBones,andGrayCodes:Martin Gardner’sMathematicalEntertainments 12. Tangrams,Tilings,andTimeTravel:MartinGardner’s MathematicalBewilderments 13. PenroseTiles,TrapdoorCiphers,andtheOulipo:MartinGardner’s MathematicalTour 14. FractalMusic,Hypercards,andChaitin’sOmega:MartinGardner’s MathematicalRecreations 15. Hydras,Eggs,andOtherMathematicalMystifications:Martin Gardner’sLastMathematicalRecreations Sphere Packing, Lewis Carroll, and Reversi MARTIN GARDNER’S NEW MATHEMATICAL DIVERSIONS Martin Gardner ® TheMathematicalAssociationofAmerica cambridgeuniversitypress Cambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,Sa˜oPaulo,Delhi CambridgeUniversityPress 32AvenueoftheAmericas,NewYork,NY10013-2473,USA www.cambridge.org Informationonthistitle:www.cambridge.org/9780521747011 (cid:1)c MathematicalAssociationofAmerica2009 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2009 FirsteditionpublishedasNewMathematicalDiversionsfromScientificAmerican, SimonandSchuster,1966 PrintedintheUnitedStatesofAmerica AcatalogrecordforthispublicationisavailablefromtheBritishLibrary. LibraryofCongressCataloginginPublicationdata Gardner,Martin,1914– Spherepacking,LewisCarroll,andreversi:MartinGardner’snewmathematical diversions/MartinGardner. p. cm.–(ThenewMartinGardnermathematicallibrary;3) Includesbibliographicalreferencesandindex. ISBN978-0-521-75607-5(hardback)–ISBN978-0-521-74701-1(pbk.) 1.Mathematicalrecreations. 2.Carroll,Lewis,1832–1898. I.Title. II.Series. QA95.G323 2009 793.74–dc22 2009010976 ISBN 978-0-521-75607-5hardback ISBN 978-0-521-74701-1paperback CambridgeUniversityPresshasnoresponsibilityforthepersistenceor accuracyofURLsforexternalorthird-partyInternetWebsitesreferredtoin thispublicationanddoesnotguaranteethatanycontentonsuchWebsitesis, orwillremain,accurateorappropriate.Informationregardingprices,travel timetables,andotherfactualinformationgiveninthisworkarecorrectat thetimeoffirstprinting,butCambridgeUniversityPressdoesnotguarantee theaccuracyofsuchinformationthereafter. Evolymet TOL.R.AHCROF, emiteromeno.
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