幻方和魔方
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四川成都
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作者(美)安德鲁
出版社哈尔滨工业大学出版社
ISBN9787560335766
出版时间2012-05
装帧平装
开本16开
纸张胶版纸
定价68元
货号22912484
上书时间2023-10-14
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【内容简介】:
本书列举诸多幻方和魔方的例子，研究幻方和魔方所具备的特性及构筑方法，生动地展示幻方和魔方的神奇之处。主要包括幻方的数学研究，六阶幻方，幻方类型，构造方法，幻圆等十五章内容。本书适合在校学生的学习研究，以及幻方和魔方爱好者作为兴趣读物。
【编辑推荐】:
·富兰克林幻方
·幻方的数学研究
·六阶幻方
·诸多幻方类型
·多种构造方法
·幻圆
【目录】:
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRE'SMETHOD
COMPOSITEMAGICSQUARES
CONCENTRICMAGICSQUARES
GENERALNOTESONTIIECONSTRUCTIONOFMAGICSQUARES
CHAFFERⅡ.MAGICCUBES
THEESSENTIALCHARACTERISTICSOFMAGICCUBES
ASSOCIATEDORREGULARMAGICCUBESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICCUBESOFEVENNUMBERS
GENERALNOTESONMAGICCUBES
CHAFFERⅢ.THEFRANKLINSQUARES
ANANALYSISOFTHEFRANKLINSQUARES
CHAPIERⅣ.REFLECTIONSONMAGICSQUARES
THEORDEROFFIGURES
MAGICSQUARESINSYMBOLS
THEMAGICSQUAREINCHINA
THEJAINASQUARE
CHAPTERⅤ.AMATHEMATICALSTUDYOFMAGICSQUARES
ANEWANALYSIS
NOTESONNUMBERSERIESUSEDINTHECONSTRUCTIONOFMAGICSQUARES
CHAPTERⅥ.MAGICSANDPYTHAGOREANNUMBERS
MR.BROWNE'SSQUAREANDLUSUSNUMERORUM
CHAPTERⅦ.SOMECURIOUSMAGICSQUARESANDCOMBINATIONS
CHAPTERⅧ.NOTESONVARIOUSCONSTRUCTIVEPLANSBYWHICHMAGICSQUARESMAYBECLASSIFIED
THEMATHEMATICAl.VALUEOFMAGICSQUARES
CHAPTERⅨ.MAGICCUBESOFTHESIXTHORDER
A"FRANKLIN"CUBEOFSIX
AMAGICCUBEOFSIX
MAGICCUBEOFSIX
CHAPTERⅩ.VARIOUSKINDSOFMAGICSQUARES
OVERLAPPINGMAGICSQUARES
ODDLY-EVENMAGICSQUARE
NOTESONODDLY-EVENMAGICSQUARES
NOTESONPANDIAGONALANDASSOCIATEDMAGICSQUARES
SERRATEDMAGICSQUARES
LOZENGEMAGICSQUARES
CHAPTERⅪ.SUNDRYCONSTRUCTIVEMETHODS
ANEWMETHODFORMAKINGMAGICSUQARESOFODDORDERS
THECONSTRUCTIONOFMAGICSQUARESANDRECTANGLESBYTHEMETHODOF"COMPLEMENTARYDIFFERENCES"
NOTESONTHECONSTRUCHONOFMAGICSQUARESOFORDERSWHICHnISOFTHEGENERALFORM
NOTESONTHECONSTRUCTIONOFMAGICSQUARESOFORDERSINWHICHnISORTHEGENERALFORM
GEOMETRICMAGICSQUARESANDCURES
CHAPTERⅫ.THETHEORYOFREVERSIONS
CHAPTERⅩⅢMAGICCIRCLES,SPHERESANDSTARS
MAGICCIRCLES
MAGICSPHERES
MAGICSTAR
CHAPTERⅩⅣ.MAGICOCTAHEDROIDS
MAGICINTHEFOURTHDIMENSION
FOUR-FOLDMAGICS
CHAPTERⅩⅤ.ORNATEMAGICSQUARES
GENERALRULEFORCONSTRUCTINGORNATEMAGICSQUARESOFORDERS=(mod
ORNATEMAGICSQUARESOFCOMPOSITEODDORDERS
THECONSTRUCTIONOFORNATEMAGICSQUARESOFORDERSAND
BYTABLESTHECONSTRUCTIONOFORNATEMAGICSQUARESOFORDER
BYMAGICRECTANGLE
PANDIAGONAL-CONCENTRICMAG
CSQUARESOFORDERS
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