LEADER 03866nam 22007575 450 001 9910768438103321 005 20251113212702.0 010 $a3-030-99116-4 024 7 $a10.1007/978-3-030-99116-6 035 $a(MiAaPQ)EBC7042192 035 $a(Au-PeEL)EBL7042192 035 $a(CKB)24242663200041 035 $a(PPN)263897486 035 $a(OCoLC)1336406028 035 $a(DE-He213)978-3-030-99116-6 035 $a(EXLCZ)9924242663200041 100 $a20220709d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPolyhedra and Beyond $eContributions from Geometrias?19, Porto, Portugal, September 05-07 /$fedited by Vera Viana, Helena Mena Matos, João Pedro Xavier 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (166 pages) 225 1 $aTrends in Mathematics,$x2297-024X 311 08$aPrint version: Viana, Vera Polyhedra and Beyond Cham : Springer International Publishing AG,c2022 9783030991159 320 $aIncludes bibliographical references. 327 $aSynthetic Methods for Constructing Polyhedra -- Sources and Features of the Small Stellated Dodecahedrons Painted in Genoa -- Polyhedral Transformation Based on Confocal Quadratic Surface Properties. Graphical Speculations -- Concave Deltahedral Rings based on the Geometry of the Concave Antiprisms of the Second Sort -- Filling Space with Gyroid Symmetry -- Odd Or Even, Jitterbug Versus Grünbaum?s Double Polyhedra -- From Geometry to Reality: Designing Geodesic Structures -- Vittorio Giorgini?s Architectural Experimentations at the Dawn of Parametric Modelling -- Architectural Inversions: The Intangible Aspect as a Form-Finding Factor in the Combined Work of Antoni Gaudí and John Pickering -- An Introduction to Solid Tessellations with Students of Architecture. 330 $aThis volume collects papers based on talks given at the conference ?Geometrias'19: Polyhedra and Beyond?, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference?s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra. 410 0$aTrends in Mathematics,$x2297-024X 606 $aGeometry 606 $aConvex geometry 606 $aDiscrete geometry 606 $aGeometry, Differential 606 $aMathematics 606 $aArts 606 $aArchitecture$xMathematics 606 $aGeometry 606 $aConvex and Discrete Geometry 606 $aDifferential Geometry 606 $aMathematics in Art and Architecture 615 0$aGeometry. 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aGeometry, Differential. 615 0$aMathematics. 615 0$aArts. 615 0$aArchitecture$xMathematics. 615 14$aGeometry. 615 24$aConvex and Discrete Geometry. 615 24$aDifferential Geometry. 615 24$aMathematics in Art and Architecture. 676 $a516 676 $a516.156 702 $aViana$b Vera 702 $aMena Matos$b Helena 702 $aXavier$b Joa?o Pedro 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910768438103321 996 $aPolyhedra and beyond$92997788 997 $aUNINA