7. Literatur
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[zurück] | 7. Literatur |
[vor] | |
| 1. |
Table of Surfaces Mathematical Sciences Research Institute https://www.msri.org/publications/sgp/jim/papers/morphbysymmetry/table/main.html |
| 2. |
Exact computation of the triply periodic Schwarz P minimal surface Paul J.F. Gandy, Jacek Klinowski https://mathcurve.com/surfaces.gb/schwarz/sdarticle.pdf |
| 3. |
Exact computation of the triply periodic G ‘Gyroid’ minimal surface Paul J.F. Gandy, Jacek Klinowski https://mathcurve.com/surfaces.gb/Gyroide/sdarticle%20gyroid.pdf |
| 4. |
Schwarz minimal surface Wikipedia https://en.wikipedia.org/wiki/Schwarz_minimal_surface |
| 5. |
DEFORMATIONS OF THE GYROID AND LIDINOID MINIMAL SURFACES ADAM G. WEYHAUPT http://www.siue.edu/~aweyhau/research/papers/gyroid.pdf |
| 6. |
Neovius Surface Wikipedia https://en.wikipedia.org/wiki/Neovius_surface |
| 7. |
Meshing Periodic Surfaces in CGAL Vissar ionFisikopoulos https://vissarion.github.io/projects/Periodic_Mesh_presentation.pdf |
| 8. |
A Microscopic Shell Structure with Schwarz’s D-Surface Seung Chul Han, Jeong Myung Choi, Gang Liu & Kiju Kang https://www.researchgate.net/publication/320453600_A_Microscopic_Shell_Structure_with_Schwarz's_D-Surface |
| 9. |
A TPMS-based method for modeling porous scaffolds for bionic bone tissue engineering Jianping Shi, Liya Zhu, Lan Li, Zongan Li, Jiquan Yang & Xingsong Wang https://www.researchgate.net/publication/325047650_A_TPMS-based_method_for_modeling_porous_scaffolds_for_bionic_bone_tissue_engineering |
| 10. |
Mechanical Properties of a New Type of Architected Interpenetrating Phase Composite Materials Oraib Al-Ketan, Rashid K. Abu Al-Rub and Reza Rowshan https://www.researchgate.net/publication/311583144_Mechanical_properties_of_a_new_type_of_periodic_interpenetrating_phase_composite_materials |
| 11. |
Periodic minimal surfaces of cubic symmetry Eric A. Lord and Alan L. Mackay https://www.researchgate.net/publication/260833863_Periodic_Minimal_Surfaces_of_Cubic_Symmetry |
| 12. |
Triply periodic minimal surface Wikipedia https://en.wikipedia.org/wiki/Triply_periodic_minimal_surface |
| 13. |
Triply Periodic Minimal Surfaces Ken Brakke, Department of Mathematics and Computer Science http://facstaff.susqu.edu/brakke/evolver/examples/periodic/periodic.html |
| 14. |
Triply Periodic Minimal Surfaces WeWantToLearn https://wewanttolearn.wordpress.com/2019/02/03/triply-periodic-minimal-surfaces/ |
| 15. |
Triply periodic minimal surfaces _topology WeWantToLearn https://wewanttolearn.wordpress.com/2016/03/17/triply-periodic-minimal-surfaces-_topology/ |
| 16. |
Low Genus Triply Periodic Surfaces Wojciech Gozdz http://ichf.edu.pl/res/res_en/depart/zd-8/wtg-files/lgs/lowgen.html |
| 17. |
Statistical theory of mixtures with surfactants Wojciech Gozdz http://ichf.edu.pl/res/res_en/depart/zd-8/wtg-files/publications/gozdz-1996-PhD.pdf |
| 18. |
Construction of Triply Periodic Minimal Surfaces Hermann Karcher, Konrad Polthier http://www.polthier.info/articles/triply/triply_withoutApp.pdf |
| 19. |
A CONSTRUCTION METHOD FOR TRIPLY PERIODIC MINIMAL SURFACES SHOICHI FUJIMORI AND MATTHIAS WEBER https://www.researchgate.net/publication/228910492_A_CONSTRUCTION_METHOD_FOR_TRIPLY_PERIODIC_MINIMAL_SURFACES |
| 20. |
Periodic surface modeling for computer aided nano design Yan Wang https://www.researchgate.net/publication/222546245_Periodic_surface_modeling_for_computer_aided_nano_design |
| 21. |
Innovative Design and Additive Manufacturing of Regenerative Cooling Thermal Protection System Based on the Triply Periodic Minimal Surface Porous Structure Xinglong Wang, Cheng Wang, Xin Zhou, Mingkang Zhang, Peiyu Zhang and Lei Wang https://www.researchgate.net/publication/340890592_Innovative_Design_and_Additive_Manufacturing_of_Regenerative_Cooling_Thermal_Protection_System_Based_on_the_Triply_Periodic_Minimal_Surface_Porous_Structure |
| 22. |
Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries Meinhard Wohlgemuth, Nataliya Yufa, James Hoffman and Edwin L. Thomas https://www.msri.org/publications/sgp/jim/papers/morphbysymmetry/text/levelset.pdf |
| 23. |
Minimal surfaces in biological systems Jure Zmrzlikar http://mafija.fmf.uni-lj.si/seminar/files/2011_2012/Jure_Zmrzlikar_Minimal_surfaces_5_1.pdf |
| 24. |
Optical properties of gyroid structured materials:from photonic crystals to metamaterials James A. Dolan, Bodo D. Wilts, Silvia Vignolini, JeremyJ. Baumberg, Ullrich Steiner and Timothy D. Wilkinson https://core.ac.uk/download/pdf/42338199.pdf |
| 25. |
On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties Zeyao Chena, Yi Min Xieb, Xian Wua, Zhe Wanga, Qing Lic, Shiwei Zhou https://www.researchgate.net/publication/335036857_On_hybrid_cellular_materials_based_on_triply_periodic_minimal_surfaces_with_extreme_mechanical_properties/download |
| 26. |
Kuboktaeder Wikipedia https://de.wikipedia.org/wiki/Kuboktaeder |
| 27. |
Oktaeder Wikipedia https://de.wikipedia.org/wiki/Oktaeder |
| 28. |
The Nature of Mathematics and the Mathematics of Nature S. Andersson, M. Jacob https://books.google.de/books?id=1eLRKrvcJe8C&printsec=frontcover&hl=de#v=onepage&q&f=false |
| 29. |
Implizite Fläche Wikipedia https://de.wikipedia.org/wiki/Implizite_Fl%C3%A4che |
| 30. |
PARTITIONS OF MINIMAL LENGTH ON MANIFOLDS BENIAMIN BOGOSEL AND EDOUARD OUDET https://arxiv.org/abs/1606.02873 |
| 31. |
The University of ChicagoDifferential Topology Final Project: Banchoff-Chmutov Surfaces Adan Medrano Martin del Campo http://math.uchicago.edu/~amedrano/research/Math318FinalProjectAdan.pdf |
| 32. |
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms Abel J.P. Gomes, Irina Voiculescu, Joaquim Jorge, Brian Wyvill, Callum Galbraith https://doc.lagout.org/science/0_Computer%20Science/2_Algorithms/Implicit%20Curves%20and%20Surfaces_%20Mathematics%2C%20Data%20Structures%2C%20and%20Algorithms%20%5BGomes%2C%20Voiculescu%2C%20Jorge%2C%20Wyvill%20%26%20Galbraith%202009-05-15%5D.pdf |
| 33. |
Orthocircles Virtualmathmuseum http://virtualmathmuseum.org/Surface/orthocircles/orthocircles.html |
| 34. |
Sagemath Implicit Plots https://doc.sagemath.org/html/en/reference/plot3d/sage/plot/plot3d/implicit_plot3d.html |
| 35. |
Tschebyschow Polynome Wikipedia https://de.wikipedia.org/wiki/Tschebyschow-Polynom |
| 36. |
surface 3D - implicit / Oberflächen- implizite Geogebra https://www.geogebra.org/m/pRCY9r5T |
| 37. |
Clebsch Diagonal Cubic Mathworld Wolfram https://mathworld.wolfram.com/ClebschDiagonalCubic.html |
| 38. |
Classifying Cubic Surfaces over Finite Fields Using Orbiter Anton Betten https://www.researchgate.net/publication/326374511_Classifying_Cubic_Surfaces_over_Finite_Fields_Using_Orbiter_6th_International_Conference_South_Bend_IN_USA_July_24-27_2018_Proceedings/download |
| 39. |
Some surfaces Professor Mariusz Wodzicki https://math.berkeley.edu/~wodzicki/H185.S11/podrecznik/surfaces.pdf |
| 40. |
Concise Encyclopedia of Mathematics Eric W. Weisstein https://archive.lib.msu.edu/crcmath/math/math.htm |
| 41. |
Gallery of Singular Algebraic Surfaces Herwig Hauser, Universities of Innsbruck & Vienna, Austria https://homepage.univie.ac.at/herwig.hauser/gallery.html |
| 42. |
Encyclopedia of Analytical Surfaces S.N. Krivoshapko, V.N. Ivanov www.springer.com |
| 43. |
Interesting implicit surfaces in R3 Mathematics Stack Exchange https://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3 |
| 44. |
Generalizations of the gyroid surface A. Fogden, M. Haeberlein, S. Lidin https://hal.archives-ouvertes.fr/jpa-00246873/document |
| 45. |
Simple 3-D Visualization of Some Common Mathematical Minimal Surfaces using MATLAB Nasiha Muna and Albert E. Patterson https://www.ideals.illinois.edu/bitstream/handle/2142/101899/Muna_Patterson_Minimal_Surfaces_Matlab_TechRep_V1.pdf |
| 46. |
US 2014/0014493 A1: MINIMAL SURFACE AREA MASS AND HEAT Publication Classification Robert C. Ryan https://patentimages.storage.googleapis.com/57/1f/76/49ec67d17bddb0/US20140014493A1.pdf |
| 47. |
Goldener Schnitt Wikipedia https://de.wikipedia.org/wiki/Goldener_Schnitt |
| 48. |
US 9.440,216 B2: MINIMAL SURFACE AREA MASS AND HEAT TRANSFER PACKING obert C. Ryan, https://patentimages.storage.googleapis.com/55/7e/96/c1fc5fe69b8e2e/US9440216.pdf |
| 49. |
Open Source Software for the Automatic Design of Scaffold Structures for Tissue Engineering Applications J.C. Dinis, T.F. Morais, P.H.J. Amorim, R.B. Ruben, H.A. Almeida, P.N. Inforçati, P.J. Bártolo, J.V.L. Silva https://www.researchgate.net/publication/269275566_Open_Source_Software_for_the_Automatic_Design_of_Scaffold_Structures_for_Tissue_Engineering_Applications |
| 50. |
Discrete Minimal Surfaces, Koebe Polyhedra, and Alexandrov’s Theorem. Variational Principles, Algorithms,and Implementation. Diploma Thesis by Stefan Sechelmann https://www.sechel.de/publications/DiplomaThesis.pdf |
| 51. |
The classical theory of minimal surfaces William H. Meeks, Joaquin Perez https://www.researchgate.net/publication/273372869_The_classical_theory_of_minimal_surfaces |
| 52. |
Skeletal Graphis Approximated by Level Surfaces Mathematical Sciences Research Institute https://www.msri.org/publications/sgp/jim/geom/level/skeletal/index.html |
| 53. |
Gyroids of Constant Mean Curvature Karsten Große-Brauckmann https://projecteuclid.org/download/pdf_1/euclid.em/1047565282 |
| 54. |
Bicontinuous Surfaces in Self-assembling Amphiphilic Systems Ulrich Schwarz and Gerhard Gompper https://www.thphys.uni-heidelberg.de/~biophys/PDF/LNP2002.pdf |
| 55. |
Discrete Gyroid Surface Ulrich Reitebuch, Martin Skrodzki, and Konrad Polthier https://ms-math-computer.science/preprint/2019_RSP_Gyroid.pdf |
| 56. |
Multifunctional mechanical-metamaterials based on triply periodic minimal surface lattices: A review Oraib Al-Ketan, Rashid K. Abu Al-Rub https://www.researchgate.net/profile/Oraib_Alketan2/publication/334432683_Multifunctional_mechanical-metamaterials_based_on_triply_periodic_minimal_surface_lattices_A_review/links/5dc6e299299bf1a47b271679/Multifunctional-mechanical-metamaterials-based-on-triply-periodic-minimal-surface-lattices-A-review.pdf |
| 57. |
Minisurf– A minimal surface generator for finite element modeling andadditive manufacturing Meng-Ting Hsieh, Lorenzo Valdevit https://www.researchgate.net/publication/343653603_Minisurf_-_A_minimal_surface_generator_for_finite_element_modeling_and_additive_manufacturing |
| 58. |
Approximation of conformal mappings by circle patterns and discrete minimal surfaces Dipl.-Math. Ulrike Bücking https://depositonce.tu-berlin.de/handle/11303/2076 |
| 59. |
MINIMAL TWIN SURFACES HAO CHEN https://num.math.uni-goettingen.de/~hchen/ |
| 60. |
Experiments, analysis and an application of 3D-printed gyroid structures Jonatan Hussmo, Roman Schröder http://www.diva-portal.se/smash/get/diva2:1470388/FULLTEXT01.pdf |
| 61. |
Technical Note: Gyroid structures for 3D-printed heterogeneous Radiotherapy phantoms R. Tino, M. Leary, A. Yeo, M. Brandt, T. Kron https://www.researchgate.net/publication/336115617_Gyroid_structures_for_3D-printed_heterogeneous_radiotherapy_phantoms |
| 62. |
COMPUTATIONAL AND EXPERIMENTAL INVESTIGATION OF VIBRATION CHARACTERISTICS OF VARIABLE UNIT-CELL GYROID STRUCTURES U. SIMSEK, C. GAYIR, B. KAVAS and P. SENDUR https://upcommons.upc.edu/bitstream/handle/2117/334877/Sm_AM-2019_35-COMPUTATIONAL%20AND%20EXPERIMENTAL%20INVESTIGATION.pdf |
| 63. |
Continuous graded Gyroid cellular structures fabricated by selective laser melting: Design, manufacturing and mechanical properties Lei Yang, Raya Mertens, Massimiliano Ferrucci, Chunze Yan, Yusheng Shi, Shoufeng Yang |
| 64. |
Gyroid cuticular structures in butterfly wing scales: biological photonic crystals K. Michielsen and D. G. Stavenga https://www.researchgate.net/publication/6268716_Gyroid_cuticular_structures_in_butterfly_wing_scales_Biological_photonic_crystals |
| 65. |
Design of Variable-Density Structures for Additive Manufacturing using Gyroid Lattices Botao Zhang |
| 66. |
Minimal Surfaces https://minimalsurfaces.blog/ |
| 67. |
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