LEADER 02134nam 2200565 450 001 9910798408703321 005 20230808194539.0 010 $a1-4214-2036-8 035 $a(CKB)3710000000770783 035 $a(EBL)4531448 035 $a(OCoLC)954000768 035 $a(MiAaPQ)EBC4531448 035 $a(MdBmJHUP)muse53199 035 $a(Au-PeEL)EBL4531448 035 $a(CaPaEBR)ebr11238832 035 $a(EXLCZ)993710000000770783 100 $a20151110d2016 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aVisualizing mathematics with 3D printing /$fHenry Segerman 210 1$aBaltimore :$cJohns Hopkins University Press,$d2016. 215 $a1 online resource (201 p.) 300 $aDescription based upon print version of record. 311 $a1-4214-2035-X 320 $aIncludes bibliographical references and index. 327 $aCover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W 606 $aGeometry$xComputer-assisted instruction 606 $aMathematics$xComputer-assisted instruction 606 $aGeometry$xStudy and teaching 606 $aGeometrical constructions 606 $aThree-dimensional imaging 606 $aThree-dimensional printing 615 0$aGeometry$xComputer-assisted instruction. 615 0$aMathematics$xComputer-assisted instruction. 615 0$aGeometry$xStudy and teaching. 615 0$aGeometrical constructions. 615 0$aThree-dimensional imaging. 615 0$aThree-dimensional printing. 676 $a516.028/6 700 $aSegerman$b Henry$f1979-$01546027 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910798408703321 996 $aVisualizing mathematics with 3D printing$93801317 997 $aUNINA LEADER 03530nam 2200649z- 450 001 9910557576603321 005 20210501 035 $a(CKB)5400000000043883 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69060 035 $a(oapen)doab69060 035 $a(EXLCZ)995400000000043883 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSymmetry and Asymmetry in Quasicrystals or Amorphous Materials 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (120 p.) 311 08$a3-03943-056-4 311 08$a3-03943-057-2 330 $aAbout forty years after its discovery, it is still common to read in the literature that quasicrystals (QCs) occupy an intermediate position between amorphous materials and periodic crystals. However, QCs exhibit high-quality diffraction patterns containing a collection of discrete Bragg reflections at variance with amorphous phases. Accordingly, these materials must be properly regarded as long-range ordered materials with a symmetry incompatible with translation invariance. This misleading conceptual status can probably arise from the use of notions borrowed from the amorphous solids framework (such us tunneling states, weak interference effects, variable range hopping, or spin glass) in order to explain certain physical properties observed in QCs. On the other hand, the absence of a general, full-fledged theory of quasiperiodic systems certainly makes it difficult to clearly distinguish the features related to short-range order atomic arrangements from those stemming from long-range order correlations. The contributions collected in this book aim at gaining a deeper understanding on the relationship between the underlying structural order and the resulting physical properties in several illustrative aperiodic systems, including the border line between QCs and related complex metallic alloys, hierarchical superlattices, electrical transmission lines, nucleic acid sequences, photonic quasicrystals, and optical devices based on aperiodic order designs. 606 $aResearch & information: general$2bicssc 610 $aaperiodic 610 $acharge transport 610 $adisorder 610 $aelectrical transmission lines 610 $aenergy structure 610 $afractal 610 $afractal-like photonic micro/nanostructures 610 $aKubo formula 610 $alocalization 610 $alocalization properties 610 $alow-dimensional systems 610 $aMg-Zn-Gd alloys 610 $amorphologies and properties 610 $an/a 610 $anon-periodic systems 610 $anucleic acids 610 $aorder 610 $aquasicrystal 610 $aquasiperiodic 610 $aquasiperiodic or fractal-like plasmonic structures 610 $aquasiperiodic order 610 $aquasiperiodic photonic micro/nanostructures 610 $aquasiperiodicity 610 $aself-similarity 610 $asymmetrical rod phase 610 $atight-binding model 615 7$aResearch & information: general 700 $aBarber$b Enrique Macia?$4edt$01323421 702 $aBarber$b Enrique Macia?$4oth 906 $aBOOK 912 $a9910557576603321 996 $aSymmetry and Asymmetry in Quasicrystals or Amorphous Materials$93035531 997 $aUNINA