patterns in nature

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1、PatternsinNatureamini-coursedesignedbyAnirbanDasgupta&SharmisthaMajumdarDepartmentofComputerScience&DepartmentofMolecularMedicineCornellUniversitySpring20052TableofContentsAbstract3CourseDescription4Introduction4Mini-CourseGoals5GeneralSuggestions5GraduateStudentBiography7IndividualSessionDescript

2、ionsSession1:FibonacciandSpirals8Session2:GoldenRatio,GrowthandBubbles15Session3:PatternsinDNA25ResourceMaterials31Appendix33ThisdocumentisprovidedbytheGraduateStudentSchoolOutreachProject(GSSOP)atCornellUniversity.Thematerialhereinmaybefreelyusedforeducationalandothernoncommercialpurposes,butplea

3、segivepropercredittoGSSOPandtothegraduatestudentwhoistheauthorofthisdocument.Formoreinformation,contactgssop@cornell.eduorvisitwww.psc.cornell.edu/gssop/.AbstractThismini-courseisabouttheunlikelyunionofmathandbiology:computationalapproachestounravelingthesecretsoflife.Inthismini-course,wewillattem

4、pttofamiliarizethestudentswithaflavorofsomeideasthatemphasizehowmathematicsisimportantinbiologyandthenaturalsciences.SymmetryinNature:Whatdosnowflakes,pineapples,andsoapbubbleshaveincommon?Whydosomanybeautifulpatternsoccurinnature?Exploreavarietyofnaturalshapes,bothfamiliarandsurprising,andseehowt

5、heyhaveinspiredscientists,mathematiciansandartistsforcenturies.Withalittlegeometry,youwillseetheworldfromawholenewangle!DNA,EvolutionandForensics:Didyouknowthathumangenesarenotmuchdifferentfromthoseofachimpanzee,flyorworm?!Mathematicscanalsobeusedtounravelthemysteriesofourgenesandtellthestoryofhow

6、lifeevolvedfromasingle-cellorganismmillionsofyearsago.InvestigationofDNApatternscanalsohelpsolvecrimes!GraduateStudentSchoolOutreachProject●gssop@cornell.edu●www.psc.cornell.edu/gssop/60CourseDescriptionIntroductionThisreportprovidesdocumentationofamini-coursethatwastaughtinthespringsemesterof2005

7、toMs.MaryIandoli’ssixthgradeclassatDecaturMiddleSchoolinWatkinsGlen,NY.Themainaimofthemini-coursewastoincreasestudents’awarenessoftheimportanceofmathematicsinstudyingthemysteriesofthenaturalworld.Thismini-coursei