Geodesic
A Trick for Calculating Volumes of Non-Euclidean Polyhedra
Matematičeskie zametki, Tome 109 (2021) no. 4, pp. 631-635.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : volume, orthoscheme, non-Euclidean space, Sforza's formula.
Keywords: $(4|m)$-octahedron 
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V. A. Krasnov. A Trick for Calculating Volumes of Non-Euclidean Polyhedra. Matematičeskie zametki, Tome 109 (2021) no. 4, pp. 631-635. http://geodesic.mathdoc.fr/item/MZM_2021_109_4_a14/

[1] G. Sforza, Ric. Esten. Different. Ser. III, 8 (1907), 3–66

[2] L. Schläfli, Gesammelte mathematische Abhandlungen, Springer, Basel, 1950 | DOI

[3] N. I. Lobachevskii, Voobrazhaemaya geometriya, Uch. zap. Imperatorskogo Kazanskogo un-ta, Kazan, 1835

[4] E. B. Vinberg, UMN, 48:2 (290) (1993), 17–46 | MR | Zbl

[5] N. V. Abrosimov, M. Godoi-Molina, A. D. Mednykh, Sovr. matem. i ee prilozheniya, 60 (2008), 3–12

[6] V. A. Krasnov, Topologiya, SMFN, 51, RUDN, M., 2013, 74–86