Poliedro (Portuguese Wikipedia)
Analysis of information sources in references of the Wikipedia article "Poliedro" in Portuguese language version.
refsWebsite
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ams.org
- Lakatos, Imre (2015) [1976], Proofs and Refutations: The logic of mathematical discovery, ISBN 978-1-107-53405-6, Cambridge Philosophy Classics, Cambridge: Cambridge University Press, p. 16, MR 3469698, doi:10.1017/CBO9781316286425,
definitions are frequently proposed and argued about
. - Cundy, H. Martyn; Rollett, A. P. (1961), «3.2 Duality», Mathematical models 2nd ed. , Oxford: Clarendon Press, pp. 78–79, MR 0124167.
- Grünbaum, B.; Shephard, G. C. (1969), «Convex polytopes» (PDF), Bulletin of the London Mathematical Society, 1: 257–300, MR 0250188. See in particular the bottom of page 260.
- Sydler, J.-P. (1965), «Conditions nécessaires et suffisantes pour l'équivalence des polyèdres de l'espace euclidien à trois dimensions», Comment. Math. Helv. (em francês), 40: 43–80, MR 0192407, doi:10.5169/seals-30629
- Debrunner, Hans E. (1980), «Über Zerlegungsgleichheit von Pflasterpolyedern mit Würfeln», Archiv der Mathematik (em alemão), 35 (6): 583–587, MR 604258, doi:10.1007/BF01235384.
- Taylor, Jean E. (1992), «Zonohedra and generalized zonohedra», American Mathematical Monthly, 99 (2): 108–111, MR 1144350, doi:10.2307/2324178.
- Demaine, Erik D.; O'Rourke, Joseph (2007), «23.2 Flexible polyhedra», Geometric Folding Algorithms: Linkages, origami, polyhedra, ISBN 978-0-521-85757-4, Cambridge University Press, Cambridge, pp. 345–348, MR 2354878, doi:10.1017/CBO9780511735172.
- O'Rourke, Joseph (2008), «Unfolding orthogonal polyhedra», Surveys on discrete and computational geometry, Contemp. Math., 453, Amer. Math. Soc., Providence, RI, pp. 307–317, MR 2405687, doi:10.1090/conm/453/08805.
- Grünbaum, Branko (2003), Convex Polytopes, ISBN 0-387-00424-6, Graduate Texts in Mathematics, 221 2nd ed. , New York: Springer-Verlag, p. 26, MR 1976856, doi:10.1007/978-1-4613-0019-9.
- Bruns, Winfried; Gubeladze, Joseph (2009), «Definition 1.1», Polytopes, Rings, and K-theory, ISBN 978-0-387-76355-2, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, MR 2508056, doi:10.1007/b105283.
books.google.com
- Popko, Edward S. (2012), Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, ISBN 9781466504301, CRC Press, p. 463,
A hosohedron is only possible on a sphere
. - Pearce, P. (1978), «14 Saddle polyhedra and continuous surfaces as environmental structures», Structure in nature is a strategy for design, MIT Press, p. 224.
- Kraynik, A. M.; Reinelt, D. A. (2007), «Foams, Microrheology of», in: Mortensen, Andreas, Concise Encyclopedia of Composite Materials 2nd ed. , 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".
- Bruns, Winfried; Gubeladze, Joseph (2009), «Definition 1.1», Polytopes, Rings, and K-theory, ISBN 978-0-387-76355-2, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, MR 2508056, doi:10.1007/b105283.
doi.org
dx.doi.org
- Lakatos, Imre (2015) [1976], Proofs and Refutations: The logic of mathematical discovery, ISBN 978-1-107-53405-6, Cambridge Philosophy Classics, Cambridge: Cambridge University Press, p. 16, MR 3469698, doi:10.1017/CBO9781316286425,
definitions are frequently proposed and argued about
. - Büeler, B.; Enge, A.; Fukuda, K. (2000). «Exact Volume Computation for Polytopes: A Practical Study». Polytopes — Combinatorics and Computation. [S.l.: s.n.] 131 páginas. ISBN 978-3-7643-6351-2. doi:10.1007/978-3-0348-8438-9_6
- Sydler, J.-P. (1965), «Conditions nécessaires et suffisantes pour l'équivalence des polyèdres de l'espace euclidien à trois dimensions», Comment. Math. Helv. (em francês), 40: 43–80, MR 0192407, doi:10.5169/seals-30629
- Debrunner, Hans E. (1980), «Über Zerlegungsgleichheit von Pflasterpolyedern mit Würfeln», Archiv der Mathematik (em alemão), 35 (6): 583–587, MR 604258, doi:10.1007/BF01235384.
- Taylor, Jean E. (1992), «Zonohedra and generalized zonohedra», American Mathematical Monthly, 99 (2): 108–111, MR 1144350, doi:10.2307/2324178.
- Demaine, Erik D.; O'Rourke, Joseph (2007), «23.2 Flexible polyhedra», Geometric Folding Algorithms: Linkages, origami, polyhedra, ISBN 978-0-521-85757-4, Cambridge University Press, Cambridge, pp. 345–348, MR 2354878, doi:10.1017/CBO9780511735172.
- O'Rourke, Joseph (2008), «Unfolding orthogonal polyhedra», Surveys on discrete and computational geometry, Contemp. Math., 453, Amer. Math. Soc., Providence, RI, pp. 307–317, MR 2405687, doi:10.1090/conm/453/08805.
- Grünbaum, Branko (2003), Convex Polytopes, ISBN 0-387-00424-6, Graduate Texts in Mathematics, 221 2nd ed. , New York: Springer-Verlag, p. 26, MR 1976856, doi:10.1007/978-1-4613-0019-9.
- Bruns, Winfried; Gubeladze, Joseph (2009), «Definition 1.1», Polytopes, Rings, and K-theory, ISBN 978-0-387-76355-2, Springer Monographs in Mathematics, Dordrecht: Springer, p. 5, MR 2508056, doi:10.1007/b105283.
- Bridge, N. J. (1974), «Faceting the dodecahedron», Acta Crystallographica Section A, 30 (4): 548–552, doi:10.1107/s0567739474001306.
encyclopediaofmath.org
- Matveev, S. V. (2001), «Polyhedron, abstract», in: Hazewinkel, Michiel, Enciclopédia de Matemática, ISBN 978-1-55608-010-4 (em inglês), Springer
eudml.org
google.com.br
books.google.com.br
- Peter R. Cromwell (1997). Polyhedra. Cambridge: Cambridge University Press. 86 páginas
wias-berlin.de
- Grünbaum, B.; Shephard, G. C. (1969), «Convex polytopes» (PDF), Bulletin of the London Mathematical Society, 1: 257–300, MR 0250188. See in particular the bottom of page 260.