LEADER 03694nam 22006615 450 001 996490344303316 005 20240222095015.0 010 $a3-031-08946-4 024 7 $a10.1007/978-3-031-08946-6 035 $a(CKB)5840000000091636 035 $a(MiAaPQ)EBC7101958 035 $a(Au-PeEL)EBL7101958 035 $a(DE-He213)978-3-031-08946-6 035 $a(PPN)264957113 035 $a(EXLCZ)995840000000091636 100 $a20220924d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aArchitectural and Urban Subsymmetries$b[electronic resource] /$fby Jin-Ho Park 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (272 pages) 225 1 $aMathematics and the Built Environment,$x2512-1561 ;$v6 311 $a3-031-08945-6 327 $aSpatial Transformations of Shapes -- Plane Symmetry Groups -- Cayley Diagrams.-Subshapes and Subsymmetries -- Subsymmetries of the Point Groups in Architectural Designs -- Subsymmetries of the Frieze groups in Architectural Designs -- Subsymmetries of the Wallpaper Groups in Architecture and Urban Designs. 330 $aThis book focuses on symmetries in the analysis and synthesis of architectural designs. Crucial in the history of architecture, principles of symmetry provided the means to achieve balance and harmony of spatial composition in architecture. Less well known is the importance of symmetry principles in the analysis of the distinct constituents in a contemporary architectural design which may, at first glance, appear disorganized or even random. The revelation of different hierarchical levels wherein various types of symmetry or subsymmetry are superimposed provides a key for deciphering the underlying structure of spatial logic. The interaction between local and global subsymmetries is of particular interest. Operating with symmetry concepts in this manner offers architects, designers and students an explicit method for understanding the symmetrical logics of sophisticated designs and gaining insights into new designs. This book has two complementary objectives: to explore the fundamental principles of architectural composition founded on the algebraic structure of symmetry groups in mathematics and to apply the principles in the analysis and synthesis of architectural and urban designs. By viewing and decomposing architectural and urban designs in this manner, the hidden spatial logic and underlying order in a design become transparent. 410 0$aMathematics and the Built Environment,$x2512-1561 ;$v6 606 $aMathematics 606 $aArts 606 $aArchitecture$xMathematics 606 $aGroup theory 606 $aMathematics in Art and Architecture 606 $aGroup Theory and Generalizations 606 $aSimetria (Matemàtica)$2thub 606 $aArquitectura$2thub 606 $aDisseny arquitectònic$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics. 615 0$aArts. 615 0$aArchitecture$xMathematics. 615 0$aGroup theory. 615 14$aMathematics in Art and Architecture. 615 24$aGroup Theory and Generalizations. 615 7$aSimetria (Matemàtica) 615 7$aArquitectura 615 7$aDisseny arquitectònic 676 $a729 700 $aPak$b Chin-ho$01311362 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996490344303316 996 $aArchitectural and urban subsymmetries$93030304 997 $aUNISA