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Pascal pyramid in the space \( H^{2}\) xR

László Németh   ORCID icon orcid.org/0000-0001-9062-9280 ; University of Sopron, Institute of Mathematics, Sopron, Hungary

Puni tekst: engleski, pdf (2 MB) str. 211-225 preuzimanja: 253* citiraj
APA 6th Edition
Németh, L. (2017). Pascal pyramid in the space \( H^{2}\) xR. Mathematical Communications, 22 (2), 211-225. Preuzeto s https://hrcak.srce.hr/185975
MLA 8th Edition
Németh, László. "Pascal pyramid in the space \( H^{2}\) xR." Mathematical Communications, vol. 22, br. 2, 2017, str. 211-225. https://hrcak.srce.hr/185975. Citirano 14.04.2021.
Chicago 17th Edition
Németh, László. "Pascal pyramid in the space \( H^{2}\) xR." Mathematical Communications 22, br. 2 (2017): 211-225. https://hrcak.srce.hr/185975
Harvard
Németh, L. (2017). 'Pascal pyramid in the space \( H^{2}\) xR', Mathematical Communications, 22(2), str. 211-225. Preuzeto s: https://hrcak.srce.hr/185975 (Datum pristupa: 14.04.2021.)
Vancouver
Németh L. Pascal pyramid in the space \( H^{2}\) xR. Mathematical Communications [Internet]. 2017 [pristupljeno 14.04.2021.];22(2):211-225. Dostupno na: https://hrcak.srce.hr/185975
IEEE
L. Németh, "Pascal pyramid in the space \( H^{2}\) xR", Mathematical Communications, vol.22, br. 2, str. 211-225, 2017. [Online]. Dostupno na: https://hrcak.srce.hr/185975. [Citirano: 14.04.2021.]

Sažetak
In this article we introduce a new type of Pascal pyramids. A regular squared mosaic in the hyperbolic plane yields an \( h^{2}r\)-cube mosaic in space \( H^{2}\) xR and the definition of the pyramid is based on this regular mosaic. The levels of the pyramid inherit some properties from the Euclidean and hyperbolic Pascal triangles. We give the growing method from level to level and show some illustrating figures.

Ključne riječi
Pascal's triangle; hyperbolic Pascal triangle; Pascal pyramid; regular mosaics; cubic honeycomb; Thurston geometries; prism tiling in space H2R; recurrence sequences

Hrčak ID: 185975

URI
https://hrcak.srce.hr/185975

Posjeta: 390 *