Միջնագծած գնդային մակերևույթ (Armenian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Միջնագծած գնդային մակերևույթ" in Armenian language version.

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3doi.org

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2harvard.edu

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1books.google.com

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1msri.org

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ams.org

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Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.
Schramm (1992); Steinitz (1928). Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Steinitz, E. (1928), «Über isoperimetrische Probleme bei konvexen Polyedern», Journal für die reine und angewandte Mathematik, 159: 133–143.
Sachs (1994). Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402.

books.google.com

Coxeter (1973) states this for regular polyhedra; Cundy & Rollett 1961 for archimedean polyhedra. Coxeter, H. (1973), «2.1 Regular polyhedra; 2.2 Reciprocation», Regular Polytopes (3rd ed.), Dover, էջեր 16–17, ISBN 0-486-61480-8. Cundy, H. M.; Rollett, A. P. (1961), Mathematical Models (2nd ed.), Oxford University Press, էջ 117.

doi.org

Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.
Schramm (1992); Steinitz (1928). Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Steinitz, E. (1928), «Über isoperimetrische Probleme bei konvexen Polyedern», Journal für die reine und angewandte Mathematik, 159: 133–143.
Sachs (1994). Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402.

harvard.edu

ui.adsabs.harvard.edu

Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.
Schramm (1992); Steinitz (1928). Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Steinitz, E. (1928), «Über isoperimetrische Probleme bei konvexen Polyedern», Journal für die reine und angewandte Mathematik, 159: 133–143.

kryakin.com

Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.
Schramm (1992); Steinitz (1928). Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Steinitz, E. (1928), «Über isoperimetrische Probleme bei konvexen Polyedern», Journal für die reine und angewandte Mathematik, 159: 133–143.

msri.org

library.msri.org

Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.

web.archive.org

Schramm (1992); Sachs (1994). Schramm states that the existence of an equivalent polyhedron with a midsphere was claimed by Koebe (1936), but that Koebe only proved this result for polyhedra with triangular faces. Schramm credits the full result to William Thurston, but the relevant portion of Thurston's lecture notes [1] Արխիվացված 2021-01-21 Wayback Machine again only states the result explicitly for triangulated polyhedra. Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Sachs, Horst (1994), «Coin graphs, polyhedra, and conformal mapping», Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F, MR 1303402. Koebe, Paul (1936), «Kontaktprobleme der Konformen Abbildung», Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl., 88: 141–164.
Schramm (1992); Steinitz (1928). Schramm, Oded (1992), «How to cage an egg» (PDF), Inventiones Mathematicae, 107 (3): 543–560, Bibcode:1992InMat.107..543S, doi:10.1007/BF01231901, MR 1150601, Արխիվացված է օրիգինալից (PDF) 2012-03-22-ին, Վերցված է 2019-04-14-ին. Steinitz, E. (1928), «Über isoperimetrische Probleme bei konvexen Polyedern», Journal für die reine und angewandte Mathematik, 159: 133–143.