Abstract

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Symmetry: Culture and Science
Volume 32, Number 2, pages 269-272 (2021)
https://doi.org/10.26830/symmetry_2021_2_269

THE GENOMETRICAL CONCEPT

Ivan V. Stepanyan^*

^* Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow 101990, Russia
State Institute for Higher Education ‘Tchaikovsky Moscow State Conservatory’, Moscow 125009, Russia
E-mail: neurocomp.pro@gmail.com
Web: https://pentagramon.com
ORCID: 0000-0003-3176-5279

Abstract: This study proposes a concept of “Geтometria” that combines elements of bioinformatics, biomechanics, music and architecture. From a common philosophical and methodological position are considered: Odoevsky's piano, the principles of genetic coding and architecture of the past. Algorithms for scaling and visualization of nucleotide sequences were presented, which made it possible to identify the relationship between the biochemical parameters of DNA/RNA molecules with scale invariance, fractal clusters and symmetries. The presented algorithms made it possible to display the structure of the nucleotide sequences by visualizing them in spaces of various types. The proposed method contributes to an in-depth understanding of the principles of genetic coding, simplifying the perception of the genetic information.

Keywords: hidden symmetries, DNA, binary opposition, Pentagramon, music, Fibonacci numbers, fractals, visualization, history.

References:
Batten, L.M. (1997) Combinatorics of Finite Geometries. Cambridge University Press, 193 pp. https://doi.org/10.1017/CBO9780511665608

Darvas, G. (2018). Petoukhov’s rules on symmetries in long DNA-texts. Symmetry: Culture and Science, 29, 2, 318-320. https://doi.org/10.26830/symmetry_2018_2_318

Harmuth, H.F., Barrett, T.W., Meffert, B. (2001) Modified Maxwell Equations in Quantum Electrodynamics. River Edge, N.J.: World Scientific, 299 pp. https://doi:10.1142/9789812799654

Koblyakov, A. (2017) Creation, transdimensional relations, aesthetic modelling. Symmetry: Culture and Science, 28, 1, 117-132. https://doi.org/10.26830/symmetry_2017_1_117

Kreichi, S. (10.11.1997) The ANS Synthesizer. Composing on a Photoelectronic Instrument, Theremin Center.

Petoukhov, S. (2018) Structural Connections between Long Genetic and Literary Texts. Preprints 2018, 2018120142, 22 pp. https://www.preprints.org/manuscript/201812.0142/v1

Petoukhov, S.V. (2019) Structural connections between long genetic and literary texts. The quantum-algorithmic modelling. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds). Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, 938, Springer, 534-543. https://doi.org/10.1007/978-3-030-16621-2_50

Quehenberger, R.C., Stepanyan, I., Skepper, B. (2020) [C G A T] Epita Matrix Genetics: toward a visualization of genetic codes via “genetic music”. Leonardo, 53, 1, 88-89. https://www.muse.jhu.edu/article/741772; https://doi.org/10.1162/leon_a_01840

Stepanyan, I.V. (2020) Multidimensional Approach for Analysis of Chromosomes Nucleotide Composition. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds). Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, 938, Springer, 567-575. https://doi.org/10.1007/978-3-030-16621-2_53