IncidenceandSymmetryinDesignandArchitecture

Theinitialpurposesofthis1983textweretodevelopmathematicaltopicsrelevanttothestudyoftheincidenceandsymmetrystructuresofgeometricalobjectsandtoexpandthereader'sgeometricintuition.Thetwofundamentalmathematicaltopicsemployedinthisendeavoraregraphtheoryandthetheoryoftransformationgroups.PartI,Incidence,startswithtwosectionsonthebasicsofgraphtheoryandcontinueswithavarietyofspecificapplicationsofgraphtheory.Followingthis,thetextbecomesmoretheoretical;heregraphtheoryisusedtostudysurfacesotherthantheplaneandthesphere.PartII,Symmetry,startswithasectiononrigidmotionsorsymmetriesoftheplane,whichisfollowedbyanotherontheclassificationofplanarpatterns.Additionally,anoverviewofsymmetryinthree-dimensionalspaceisprovided,alongwithareconciliationofgraphtheoryandgrouptheoryinastudyofenumerationproblemsingeometry.