Research Article

Some Golden Objects in Geometry

Volume: 11 Number: 1 May 1, 2014
  • Z. Nazari
  • A. Delbaznasab
  • Y. Bahrampour
EN

Some Golden Objects in Geometry

Abstract

In this paper, first, an induced algebra with respect to the polynomial P(x) is defined and then, an induced Lie group with respect to P(x) is determined. Finally, Golden Algebras, Golden Lie groups, Golden curves and Golden surfaces are introduced based on the definition of generalized Golden polynomials.

Keywords

References

  1. [1] M.S. El Nashie, Quantum Mechanics and the Possibility of a Cantorian Spacetime, Chaos, Solitons and Fractals, 1(5), (1992), 485-7.
  2. [2] M.S. El Naschie, The Concepts of E Infinity: An Elementary Introduction to the Cantorian-Fractal Theory of Quantum Physics, Chaos, Solitons and Fractals, 22(2), (2004), 495-511.
  3. [3] R. H. Fischler, The Shape of the Great Pyramid, Waterloo: Wilfrid Laurier University Press, (2000).
  4. [4] S. H. Hendi, M. Sharifzadeh, Special Relativity and the Golden Ratio, Journal of Theoretical Physics, 1, (2012), 37-45.
  5. [5] R. Heyrovska, The Golden Ratio Ionic and Atomic Radii and Bond Lengths, Molecular Physics, 103, (2005), 877-82.
  6. [6] W. Y. Hsiang, Lectures on Lie Groups, World Scientific, (2000).
  7. [7] A. W. Joshi, Elements of Group Theory for Physicists, New York: J. Wiley, (1982).
  8. [8] M. Livio, The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number Φ, Broadway Books, (2002).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Z. Nazari This is me

A. Delbaznasab This is me

Y. Bahrampour This is me

Publication Date

May 1, 2014

Submission Date

May 1, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 11 Number: 1

APA
Nazari, Z., Delbaznasab, A., & Bahrampour, Y. (2014). Some Golden Objects in Geometry. Cankaya University Journal of Science and Engineering, 11(1). https://izlik.org/JA34JZ46ZP
AMA
1.Nazari Z, Delbaznasab A, Bahrampour Y. Some Golden Objects in Geometry. CUJSE. 2014;11(1). https://izlik.org/JA34JZ46ZP
Chicago
Nazari, Z., A. Delbaznasab, and Y. Bahrampour. 2014. “Some Golden Objects in Geometry”. Cankaya University Journal of Science and Engineering 11 (1). https://izlik.org/JA34JZ46ZP.
EndNote
Nazari Z, Delbaznasab A, Bahrampour Y (May 1, 2014) Some Golden Objects in Geometry. Cankaya University Journal of Science and Engineering 11 1
IEEE
[1]Z. Nazari, A. Delbaznasab, and Y. Bahrampour, “Some Golden Objects in Geometry”, CUJSE, vol. 11, no. 1, May 2014, [Online]. Available: https://izlik.org/JA34JZ46ZP
ISNAD
Nazari, Z. - Delbaznasab, A. - Bahrampour, Y. “Some Golden Objects in Geometry”. Cankaya University Journal of Science and Engineering 11/1 (May 1, 2014). https://izlik.org/JA34JZ46ZP.
JAMA
1.Nazari Z, Delbaznasab A, Bahrampour Y. Some Golden Objects in Geometry. CUJSE. 2014;11. Available at https://izlik.org/JA34JZ46ZP.
MLA
Nazari, Z., et al. “Some Golden Objects in Geometry”. Cankaya University Journal of Science and Engineering, vol. 11, no. 1, May 2014, https://izlik.org/JA34JZ46ZP.
Vancouver
1.Z. Nazari, A. Delbaznasab, Y. Bahrampour. Some Golden Objects in Geometry. CUJSE [Internet]. 2014 May 1;11(1). Available from: https://izlik.org/JA34JZ46ZP