Poliedru (Romanian Wikipedia)
Analysis of information sources in references of the Wikipedia article "Poliedru" in Romanian language version.
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ams.org
- en Lakatos, Imre () [1976], Worrall, John; Zahar, Elie, ed., Proofs and Refutations: The logic of mathematical discovery, Cambridge Philosophy Classics, Cambridge: Cambridge University Press, p. 16, doi:10.1017/CBO9781316286425, ISBN 978-1-107-53405-6, MR 3469698,
definitions are frequently proposed and argued about
. - en Grünbaum, Branko (), „Acoptic polyhedra”, Advances in discrete and computational geometry (South Hadley, MA, 1996) (PDF), Contemporary Mathematics, 223, Providence, Rhode Island: American Mathematical Society, pp. 163–199, doi:10.1090/conm/223/03137, ISBN 978-0-8218-0674-6, MR 1661382, arhivat din original (PDF) la , accesat în
- en Bokowski, J.; Guedes de Oliveira, A. (), „On the generation of oriented matroids”, Discrete and Computational Geometry, 24 (2–3): 197–208, doi:10.1007/s004540010027
, MR 1756651 - en Burgiel, H.; Stanton, D. (), „Realizations of regular abstract polyhedra of types {3,6} and {6,3}”, Discrete and Computational Geometry, 24 (2–3): 241–255, doi:10.1007/s004540010030 , MR 1758047.
- en Grünbaum, Branko (), Convex Polytopes, Graduate Texts in Mathematics, 221 (ed. 2nd), New York: Springer-Verlag, p. 26, doi:10.1007/978-1-4613-0019-9, ISBN 978-0-387-00424-2, MR 1976856.
- en Bruns, Winfried; Gubeladze, Joseph (), „Definition 1.1”, Polytopes, Rings, and K-theory, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, CiteSeerX 10.1.1.693.2630 , doi:10.1007/b105283, ISBN 978-0-387-76355-2, MR 2508056.
- en Cundy, H. Martyn; Rollett, A.P. (), „3.2 Duality”, Mathematical models (ed. 2nd), Oxford: Clarendon Press, pp. 78–79, MR 0124167.
- en Grünbaum, B.; Shephard, G.C. (), „Convex polytopes” (PDF), Bulletin of the London Mathematical Society, 1 (3): 257–300, doi:10.1112/blms/1.3.257, MR 0250188, arhivat din original (PDF) la , accesat în . V. în special în josul paginii 260
- fr Sydler, J.-P. (), „Conditions nécessaires et suffisantes pour l'équivalence des polyèdres de l'espace euclidien à trois dimensions”, Commentarii Mathematici Helvetici, 40: 43–80, doi:10.1007/bf02564364, MR 0192407
- de Debrunner, Hans E. (), „Über Zerlegungsgleichheit von Pflasterpolyedern mit Würfeln”, Archiv der Mathematik, 35 (6): 583–587, doi:10.1007/BF01235384, MR 0604258.
- en Alexandrov, Victor (), „The Dehn invariants of the Bricard octahedra”, Journal of Geometry, 99 (1–2): 1–13, arXiv:0901.2989 , CiteSeerX 10.1.1.243.7674 , doi:10.1007/s00022-011-0061-7, MR 2823098
- en Taylor, Jean E. (), „Zonohedra and generalized zonohedra”, American Mathematical Monthly, 99 (2): 108–111, doi:10.2307/2324178, JSTOR 2324178, MR 1144350.
- en Demaine, Erik D.; O'Rourke, Joseph (), „23.2 Flexible polyhedra”, Geometric Folding Algorithms: Linkages, origami, polyhedra, Cambridge University Press, Cambridge, pp. 345–348, doi:10.1017/CBO9780511735172, ISBN 978-0-521-85757-4, MR 2354878.
- en O'Rourke, Joseph (), „Unfolding orthogonal polyhedra”, Surveys on discrete and computational geometry, Contemp. Math., 453, Amer. Math. Soc., Providence, RI, pp. 307–317, doi:10.1090/conm/453/08805, ISBN 978-0-8218-4239-3, MR 2405687.
- en Coxeter, H.S.M. (), Regular Complex Polytopes, Cambridge: Cambridge University Press, MR 0370328. [necesită pagina]
- en Coxeter, H.S.M.; Du Val, P.; Flather, H.T.; Petrie, J.F. () [1938], The Fifty-Nine Icosahedra, Tarquin Publications, ISBN 978-1-899618-32-3, MR 0676126.
arxiv.org
- en Alexandrov, Victor (), „The Dehn invariants of the Bricard octahedra”, Journal of Geometry, 99 (1–2): 1–13, arXiv:0901.2989 , CiteSeerX 10.1.1.243.7674 , doi:10.1007/s00022-011-0061-7, MR 2823098
- en Sparavigna, Amelia Carolina (), An Etruscan dodecahedron, arXiv:1205.0706
books.google.com
- en Bruns, Winfried; Gubeladze, Joseph (), „Definition 1.1”, Polytopes, Rings, and K-theory, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, CiteSeerX 10.1.1.693.2630 , doi:10.1007/b105283, ISBN 978-0-387-76355-2, MR 2508056.
- Cromwell (1997), p. 86.
- en Popko, Edward S. (), Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, CRC Press, p. 463, ISBN 978-1-4665-0430-1,
A hosohedron is only possible on a sphere
. - en Kraynik, A.M.; Reinelt, D.A. (), „Foams, Microrheology of”, În Mortensen, Andreas, Concise Encyclopedia of Composite Materials (ed. 2nd), Elsevier, pp. 402–407. See in particular p. 403: "foams consist of polyhedral gas bubbles ... each face on a polyhedron is a minimal surface with uniform mean curvature ... no face can be a flat polygon with straight edges"
- en Pearce, P. (), „14 Saddle polyhedra and continuous surfaces as environmental structures”, Structure in nature is a strategy for design, MIT Press, p. 224, ISBN 978-0-262-66045-7.
doi.org
- en Lakatos, Imre () [1976], Worrall, John; Zahar, Elie, ed., Proofs and Refutations: The logic of mathematical discovery, Cambridge Philosophy Classics, Cambridge: Cambridge University Press, p. 16, doi:10.1017/CBO9781316286425, ISBN 978-1-107-53405-6, MR 3469698,
definitions are frequently proposed and argued about
. - en Loeb, Arthur L. (), „Polyhedra: Surfaces or solids?”, În Senechal, Marjorie, Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination (ed. 2nd), Springer, pp. 65–75, doi:10.1007/978-0-387-92714-5_5
- en O'Rourke, Joseph (), „Computational Geometry in C”, Computers in Physics, 9 (1): 113–116, Bibcode:1995ComPh...9...55O, doi:10.1063/1.4823371.
- en Grünbaum, Branko (), „Acoptic polyhedra”, Advances in discrete and computational geometry (South Hadley, MA, 1996) (PDF), Contemporary Mathematics, 223, Providence, Rhode Island: American Mathematical Society, pp. 163–199, doi:10.1090/conm/223/03137, ISBN 978-0-8218-0674-6, MR 1661382, arhivat din original (PDF) la , accesat în
- en Bokowski, J.; Guedes de Oliveira, A. (), „On the generation of oriented matroids”, Discrete and Computational Geometry, 24 (2–3): 197–208, doi:10.1007/s004540010027 , MR 1756651
- en Burgiel, H.; Stanton, D. (), „Realizations of regular abstract polyhedra of types {3,6} and {6,3}”, Discrete and Computational Geometry, 24 (2–3): 241–255, doi:10.1007/s004540010030 , MR 1758047.
- en Grünbaum, Branko (), Convex Polytopes, Graduate Texts in Mathematics, 221 (ed. 2nd), New York: Springer-Verlag, p. 26, doi:10.1007/978-1-4613-0019-9, ISBN 978-0-387-00424-2, MR 1976856.
- en Bruns, Winfried; Gubeladze, Joseph (), „Definition 1.1”, Polytopes, Rings, and K-theory, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, CiteSeerX 10.1.1.693.2630 , doi:10.1007/b105283, ISBN 978-0-387-76355-2, MR 2508056.
- en Grünbaum, B.; Shephard, G.C. (), „Convex polytopes” (PDF), Bulletin of the London Mathematical Society, 1 (3): 257–300, doi:10.1112/blms/1.3.257, MR 0250188, arhivat din original (PDF) la , accesat în . V. în special în josul paginii 260
- en Büeler, B.; Enge, A.; Fukuda, K. (), „Exact Volume Computation for Polytopes: A Practical Study”, Polytopes — Combinatorics and Computation, p. 131, CiteSeerX 10.1.1.39.7700 , doi:10.1007/978-3-0348-8438-9_6, ISBN 978-3-7643-6351-2
- fr Sydler, J.-P. (), „Conditions nécessaires et suffisantes pour l'équivalence des polyèdres de l'espace euclidien à trois dimensions”, Commentarii Mathematici Helvetici, 40: 43–80, doi:10.1007/bf02564364, MR 0192407
- de Debrunner, Hans E. (), „Über Zerlegungsgleichheit von Pflasterpolyedern mit Würfeln”, Archiv der Mathematik, 35 (6): 583–587, doi:10.1007/BF01235384, MR 0604258.
- en Alexandrov, Victor (), „The Dehn invariants of the Bricard octahedra”, Journal of Geometry, 99 (1–2): 1–13, arXiv:0901.2989 , CiteSeerX 10.1.1.243.7674 , doi:10.1007/s00022-011-0061-7, MR 2823098
- en Taylor, Jean E. (), „Zonohedra and generalized zonohedra”, American Mathematical Monthly, 99 (2): 108–111, doi:10.2307/2324178, JSTOR 2324178, MR 1144350.
- en Demaine, Erik D.; O'Rourke, Joseph (), „23.2 Flexible polyhedra”, Geometric Folding Algorithms: Linkages, origami, polyhedra, Cambridge University Press, Cambridge, pp. 345–348, doi:10.1017/CBO9780511735172, ISBN 978-0-521-85757-4, MR 2354878.
- en O'Rourke, Joseph (), „Unfolding orthogonal polyhedra”, Surveys on discrete and computational geometry, Contemp. Math., 453, Amer. Math. Soc., Providence, RI, pp. 307–317, doi:10.1090/conm/453/08805, ISBN 978-0-8218-4239-3, MR 2405687.
- en Coxeter, H.S.M. (), „A special book review: M.C. Escher: His life and complete graphic work”, The Mathematical Intelligencer, 7 (1): 59–69, doi:10.1007/BF03023010 Coxeter's analysis of Stars is on pp. 61–62.
- Bridge, N.J. (), „Faceting the dodecahedron”, Acta Crystallographica Section A, 30 (4): 548–552, Bibcode:1974AcCrA..30..548B, doi:10.1107/s0567739474001306.
encyclopediaofmath.org
- en Matveev, S.V., „Polyhedron, abstract”, Encyclopedia of Mathematics, Springer, EMS Press, accesat în
- Hazewinkel, M., „Dehn invariant”, Encyclopedia of Mathematics, Springer & The European Mathematical Society
eudml.org
- fr Sydler, J.-P. (), „Conditions nécessaires et suffisantes pour l'équivalence des polyèdres de l'espace euclidien à trois dimensions”, Commentarii Mathematici Helvetici, 40: 43–80, doi:10.1007/bf02564364, MR 0192407
harvard.edu
adsabs.harvard.edu
- en O'Rourke, Joseph (), „Computational Geometry in C”, Computers in Physics, 9 (1): 113–116, Bibcode:1995ComPh...9...55O, doi:10.1063/1.4823371.
- Bridge, N.J. (), „Faceting the dodecahedron”, Acta Crystallographica Section A, 30 (4): 548–552, Bibcode:1974AcCrA..30..548B, doi:10.1107/s0567739474001306.
jstor.org
psu.edu
citeseerx.ist.psu.edu
- en Bruns, Winfried; Gubeladze, Joseph (), „Definition 1.1”, Polytopes, Rings, and K-theory, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, CiteSeerX 10.1.1.693.2630 , doi:10.1007/b105283, ISBN 978-0-387-76355-2, MR 2508056.
- en Büeler, B.; Enge, A.; Fukuda, K. (), „Exact Volume Computation for Polytopes: A Practical Study”, Polytopes — Combinatorics and Computation, p. 131, CiteSeerX 10.1.1.39.7700 , doi:10.1007/978-3-0348-8438-9_6, ISBN 978-3-7643-6351-2
- en Alexandrov, Victor (), „The Dehn invariants of the Bricard octahedra”, Journal of Geometry, 99 (1–2): 1–13, arXiv:0901.2989 , CiteSeerX 10.1.1.243.7674 , doi:10.1007/s00022-011-0061-7, MR 2823098
semanticscholar.org
pdfs.semanticscholar.org
- en Grünbaum, B.; Shephard, G.C. (), „Convex polytopes” (PDF), Bulletin of the London Mathematical Society, 1 (3): 257–300, doi:10.1112/blms/1.3.257, MR 0250188, arhivat din original (PDF) la , accesat în . V. în special în josul paginii 260
washington.edu
sites.math.washington.edu
- en Grünbaum, Branko (), „Acoptic polyhedra”, Advances in discrete and computational geometry (South Hadley, MA, 1996) (PDF), Contemporary Mathematics, 223, Providence, Rhode Island: American Mathematical Society, pp. 163–199, doi:10.1090/conm/223/03137, ISBN 978-0-8218-0674-6, MR 1661382, arhivat din original (PDF) la , accesat în
web.archive.org
- en Grünbaum, Branko (), „Acoptic polyhedra”, Advances in discrete and computational geometry (South Hadley, MA, 1996) (PDF), Contemporary Mathematics, 223, Providence, Rhode Island: American Mathematical Society, pp. 163–199, doi:10.1090/conm/223/03137, ISBN 978-0-8218-0674-6, MR 1661382, arhivat din original (PDF) la , accesat în
- en Grünbaum, B.; Shephard, G.C. (), „Convex polytopes” (PDF), Bulletin of the London Mathematical Society, 1 (3): 257–300, doi:10.1112/blms/1.3.257, MR 0250188, arhivat din original (PDF) la , accesat în . V. în special în josul paginii 260