Abstract

Full paper prices: €32 / €24 / €60

Open Access price: €400

Symmetry: Culture and Science
Volume 31, Number 1, pages 077-090 (2020)
https://doi.org/10.26830/symmetry_2020_1_077

SEARCH FOR A COMPUTER AIDED SOLUTION OF THE 7×7 SQUARE POLY-UNIVERSE – AN ALGORITHMIC APPROACH

András Triznya¹
Vilmos Katona^2*

¹ Address: Independent Researcher, 9 Thaly Kálmán utca, Budapest 1165, Hungary.
E-mail: triznya.andras@gmail.com

² Address: Institute of Applied Arts, Simonyi Károly Faculty of Engineering, Wood Sciences and Applied Arts University of Sopron, 1 Cházár András tér, Sopron 9400, Hungary.
E-mail: katona.vilmos@uni-sopron.hu
ORCID: 0000-0002-0299-2897

^* corresponding editor

Abstract: Saxon’s Poly-Universe was created to show that a logic-stimulating mathematical game could derive from an artistic concept. It combines colours with basic geometrical shapes on two-dimensional plane to set up three different board games (square, triangle and circle). In these games, players can customise the rules, the difficulty level of which increases with the compactness of the form, and the homogeneousness of the pattern preferred. We have chosen the square pack to test software algorithms capable of solving the most difficult player requirements possible. The purpose was also to optimise the computing time with the hardware capacity.

Keywords: mathematics and art, science education, gamification, C# programming, combinatorial optimisation, test driven development, Poly-Universe, MADI art, János Saxon Szász

References:
Darvas, G. (2019) Poly-Universe in School Education, Symmetry: Culture and Science, 30, 3, 251-255. https://doi.org/10.26830/symmetry_2019_3_251

Gibson, V.R. and Senn, J.A. (1989) System structure and software maintenance performance, Communications of the ACM, 32, 3, 347–358. https://doi.org/10.1145/62065.62073

Kemerer, C.F. (1995) Software complexity and software maintenance: A survey of empirical research, Annals of Software Engineering, 1, 1–22. https://doi.org/10.1007/BF02249043

Palócz, K. and Katona, V. (2019) The applicability of geometrical games in designing modular housing solutions, Symmetry: Culture and Science, 30, 1, 25–41. https://doi.org/10.26830/symmetry_2019_1_025

Perneczky, G (2002) The Poly-Dimensional Fields of Saxon-Szász, Budapest: International Mobile MADI Museum Foundation, ISBN 963-204-948-9.

Saxon Szász, J. (2010) Poly-Universe of Saxon, Budapest: Author’s Edition, ISBN 978-963-08-0303-8.

Szász SAXON, J., Stettner, E., eds. (2019) PUSE (Poly-Universe in School Education) METHODOLOGYVisual Experience Based Mathematics Education, Szokolya: Poly-Universe Ltd. (Publisher: Zs. Dárdai), [open access in pdf from http://poly-universe.com/puse-methodology/ 254 p. ISBN 978-615-81267-1-7].

Troelsen, A. and Japikse, P. (2017) Pro C# 7 With .NET and .NET Core, 8th ed., New York: Apress, ixv + 1372 pp. https://doi.org/10.1007/978-1-4842-3018-3

Wäyrynen, J., et al. (2004) Security engineering and eXtreme programming: An impossible marriage? In: Zannier, C., Erdogmus, H. and Lindstrom, L., eds. Extreme Programming and Agile Methods – XP/Agile Universe 2004: 4th Conference on Extreme Programming and Agile Methods (Calgary, Canada, August 15–18, 2004, Proceedings), Berlin: Springer, 117–128.