Abstract

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Symmetry: Culture and Science
Volume 36, Number 3, pages 241-247 (2025)
https://doi.org/10.26830/symmetry_2025_3_241

AN INTERACTIVE REPRESENTATION OF THE PYTHAGOREAN TREE

Koya Chehlarova¹, Toni Chehlarova^2*

¹ University of Library Studies and Information Technologies, 1113, Sofia, Bulgaria
Email: k.chehlarova@unibit.bg
ORCID: 0009-0009-8473-9921

² Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Email: toni.chehlarova@math.bas.bg
Web:
ORCID: 0000-0001-8472-5217

^* Corresponding author

Abstract: An approach to interactive content presentation is explored using QR codes embedded in images. This concept is illustrated using the Pythagorean Tree fractal as a concrete example. The aim is to promote deeper engagement with mathematical content by encouraging exploration, understanding, and retention of concepts. Four models of images containing QR codes are presented, each linking to animations that demonstrate the fractal’s growth and its variation based on different parameters. The paper also outlines basic strategies for creating such visualizations using the dynamic mathematics software GeoGebra, with a focus on their application in STEAM education centers. Finally, the potential for further research is discussed—both in terms of new interpretations of the fractal and the development of software tools and technological resources that enhance educational impact.

Keywords: interactivity, QR code, fractal, Pythagorean Tree, museums, STEAM, GeoGebra, symmetry
PACS 2010: 01.50.F MSC 2010: 97N80, 97U80

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