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Dergiler / International Electronic Journal of Geometry / 2017 / Cilt: 10 - Sayı: 2

Hyperbolic Pascal Simplex

László NÉMETH
Sayfa
46–55
Yayın Tarihi
2022-10-18
DOI
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In this article we introduce a new geometric object called hyperbolic Pascal simplex.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article we introduce a new geometric object called hyperbolic Pascal simplex.
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Temel Bulgular & Veri:In this article we introduce a new geometric object called hyperbolic Pascal simplex.
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Sonuç & Katkı:In this article we introduce a new geometric object called hyperbolic Pascal simplex.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hiperbolic Pascal triangle · Pascal simplex · hypercube honeycomb

Abstract

In this article we introduce a new geometric object called hyperbolic Pascal simplex. This new

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Bu Makaleye Atıf Yap

NÉMETH, L. (2022). Hyperbolic Pascal Simplex. International Electronic Journal of Geometry, Cilt: 10 - Sayı: 2, 46–55. https://ajindex.com/articles/539675

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Kaynakça (16)

  1. Anatriello, G. and Vincenzi, G., Tribonacci-like sequences and generalized Pascal’s pyramids. Internat. J. Math. Ed. Sci. Tech., 45 (2014), 1220-1232
  2. Belbachir, H., Németh, L. and Szalay, L., Hyperbolic Pascal triangles. Appl. Math. Comp., 273 (2016), 453-464
  3. Belbachir, H. and Szalay, L., On the arithmetic triangles. ˘ Siauliai Math. Sem., 9 (2014), 15-26
  4. Bondarenko, B. A., Generalized Pascal triangles and pyramids, their fractals, graphs, and applications. Translated from the Russian by Bollinger, R. C. (English) Santa Clara, CA: The Fibonacci Association, vii, 253 p. 1993. www.fq.math.ca/pascal.html [5] Coxeter, H. S. M., Regular honeycombs in hyperbolic space. Proc. Int. Congress Math., Amsterdam, Vol. III. (1954), 155-169
  5. Fiorenza, A. and Vincenzi, G., Limit of ratio of consecutive terms for general order-k linear homogeneous recurrences with constant coefficients. Chaos, Solitons & Fractals, 44 (2011), 147-152
  6. Fiorenza, A. and Vincenzi, G., From Fibonacci Sequence to the Golden Ratio. Journal of Mathematics, (2013), Article ID 204674, 3 pages
  7. Harris, J, M., Hirst, J. L. and Mossinghoff, M. J., Combinatorics and Graph Theory. Springer, 2008
  8. Németh, L. and Szalay, L., Alternating sums in hyperbolic Pascal triangles. Miskolc Mathematical Notes, 17 (2016), no. 2, 989-998
  9. Németh, L. – Szalay, L., Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic f4; 5g. Annales Mathematicae et Informaticae, 46 (2016), 165–173
  10. Németh, L. and Szalay, L., Power sums in hyperbolic Pascal triangles. Analele Univ. “Ovidius”, Math Series., (2018) (to appear)
  11. Németh, L., Fibonacci words in hyperbolic Pascal triangles. Acta Universitatis Sapientiae Mathematica, 9 (2017) no. 2, (to appear)
  12. Németh, L. On the hyperbolic Pascal pyramid. Beitr Algebra Geom., 57 (2016), 913–927
  13. Németh, L., On the 4-dimensional hypercube mosaics. Publ. Math. Debrecen, 70 (2007), no. 3–4, 291–305
  14. Németh, L., Pascal pyramid in space H2R. Mathematical Communications, 22 (2017), 211-225
  15. Németh, L., The growing ration of hyperbolic regular mosaics with bounded cell, Armenian Journal of Mathematics, 9 (2017), 1-19
  16. Siani, S. and Vincenzi, G., Fibonacci-like sequences and generalized Pascal’s triangles. Internat. J. Math. Ed. Sci. Tech., 45 (2014), 609-614.