Schönhardt polyhedron (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Schönhardt polyhedron" in English language version.

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Bezdek, Andras; Carrigan, Braxton (2016), "On nontriangulable polyhedra", Beiträge zur Algebra und Geometrie, 57 (1): 51–66, doi:10.1007/s13366-015-0248-4, MR 3457762, S2CID 118484882
De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco (2010), "Example 3.6.1: Schönhardt's polyhedron", Triangulations: Structures for algorithms and applications, Algorithms and Computation in Mathematics, vol. 25, Berlin: Springer-Verlag, pp. 133–134, doi:10.1007/978-3-642-12971-1, ISBN 978-3-642-12970-4, MR 2743368
Goldberg, Michael (1978), "Unstable polyhedral structures", Mathematics Magazine, 51 (3): 165–170, doi:10.2307/2689996, JSTOR 2689996, MR 0498579

arxiv.org

Ziegler, Günter M. (2008), "Polyhedral surfaces of high genus", in Bobenko, A. I.; Schröder, P.; Sullivan, J. M.; et al. (eds.), Discrete Differential Geometry, Oberwolfach Seminars, vol. 38, Springer-Verlag, pp. 191–213, arXiv:math/0412093, doi:10.1007/978-3-7643-8621-4_10, ISBN 978-3-7643-8620-7, math.MG/0412093

doi.org

Schönhardt, E. (1928), "Über die Zerlegung von Dreieckspolyedern in Tetraeder", Mathematische Annalen, 98: 309–312, doi:10.1007/BF01451597
Bezdek, Andras; Carrigan, Braxton (2016), "On nontriangulable polyhedra", Beiträge zur Algebra und Geometrie, 57 (1): 51–66, doi:10.1007/s13366-015-0248-4, MR 3457762, S2CID 118484882
Bagemihl, F. (1948), "On indecomposable polyhedra", American Mathematical Monthly, 55 (7): 411–413, doi:10.2307/2306130, JSTOR 2306130
De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco (2010), "Example 3.6.1: Schönhardt's polyhedron", Triangulations: Structures for algorithms and applications, Algorithms and Computation in Mathematics, vol. 25, Berlin: Springer-Verlag, pp. 133–134, doi:10.1007/978-3-642-12971-1, ISBN 978-3-642-12970-4, MR 2743368
Aigner, Martin; Ziegler, Günter M. (2018), "Chapter 14: Cauchy's rigidity theorem", Proofs from THE BOOK (6th ed.), Springer, pp. 95–98, doi:10.1007/978-3-662-57265-8_15, ISBN 978-3-662-57265-8
Wang, Bin-Bing; Liu, Xi-Liang (December 1996), "Integral-tension research in double-layer tensegrity grids", International Journal of Space Structures, 11 (4): 349–355, doi:10.1177/026635119601100401
Ruppert, J.; Seidel, R. (1992), "On the difficulty of triangulating three-dimensional nonconvex polyhedra", Discrete & Computational Geometry, 7 (3): 227–253, doi:10.1007/BF02187840
Lennes, N. J. (January 1911), "Theorems on the simple finite polygon and polyhedron", American Journal of Mathematics, 33 (1/4): 37–62, doi:10.2307/2369986, JSTOR 2369986
Connelly, Robert (1981), "Flexing surfaces", in Klarner, David A. (ed.), The Mathematical Gardner, Springer, pp. 79–89, doi:10.1007/978-1-4684-6686-7_10, ISBN 978-1-4684-6688-1.
Goldberg, Michael (1978), "Unstable polyhedral structures", Mathematics Magazine, 51 (3): 165–170, doi:10.2307/2689996, JSTOR 2689996, MR 0498579
Ziegler, Günter M. (2008), "Polyhedral surfaces of high genus", in Bobenko, A. I.; Schröder, P.; Sullivan, J. M.; et al. (eds.), Discrete Differential Geometry, Oberwolfach Seminars, vol. 38, Springer-Verlag, pp. 191–213, arXiv:math/0412093, doi:10.1007/978-3-7643-8621-4_10, ISBN 978-3-7643-8620-7, math.MG/0412093
Szabó, Sándor (1984), "Polyhedra without diagonals", Periodica Mathematica Hungarica, 15 (1): 41–49, doi:10.1007/BF02109370; Szabó, Sándor (2009), "Polyhedra without diagonals II", Periodica Mathematica Hungarica, 58 (2): 181–187, doi:10.1007/s10998-009-10181-x

engineeringmechanics.cz

Bansod, Yogesh Deepak; Nandanwar, Deepesh; Burša, Jiří (2014), "Overview of tensegrity – I: Basic structures" (PDF), Engineering Mechanics, 21 (5): 355–367

eudml.org

Schönhardt, E. (1928), "Über die Zerlegung von Dreieckspolyedern in Tetraeder", Mathematische Annalen, 98: 309–312, doi:10.1007/BF01451597

jstor.org

Bagemihl, F. (1948), "On indecomposable polyhedra", American Mathematical Monthly, 55 (7): 411–413, doi:10.2307/2306130, JSTOR 2306130
Lennes, N. J. (January 1911), "Theorems on the simple finite polygon and polyhedron", American Journal of Mathematics, 33 (1/4): 37–62, doi:10.2307/2369986, JSTOR 2369986
Goldberg, Michael (1978), "Unstable polyhedral structures", Mathematics Magazine, 51 (3): 165–170, doi:10.2307/2689996, JSTOR 2689996, MR 0498579

semanticscholar.org

api.semanticscholar.org

Bezdek, Andras; Carrigan, Braxton (2016), "On nontriangulable polyhedra", Beiträge zur Algebra und Geometrie, 57 (1): 51–66, doi:10.1007/s13366-015-0248-4, MR 3457762, S2CID 118484882

si.edu

americanhistory.si.edu

"Model of a Lennes Polyhedron By Richard P. Baker, Baker #287", Collections, National Museum of American History, retrieved 2024-02-18

slmath.org

library.slmath.org

Rambau, J. (2005), "On a generalization of Schönhardt's polyhedron" (PDF), in Goodman, Jacob E.; Pach, János; Welzl, Emo (eds.), Combinatorial and Computational Geometry, MSRI Publications, vol. 52, Cambridge: Cambridge University Press, pp. 501–516

washington.edu

digital.lib.washington.edu

Grünbaum, Branko (1975), Lectures on lost mathematics (PDF), pp. 41–42