DEVELOPING A TOOL FOR TEACHING ARCHIMEDEAN SOLIDS USING GEOGEBRA SOFTWARE

Abstract

This scientific article presents a dynamic approach to constructing Archimedean solids from Platonic solids, supported by the dynamic mathematics software GeoGebra. The study addresses the lack of interactive pedagogical materials that illustrate, in detail, the spatial transformations applied to three-dimensional geometry. The research problem focuses on how geometric processes—such as truncation, expansion, and snubbing—can be dynamically simulated and visualized to reduce the abstract nature of spatial geometry. The article aims to describe and provide a mathematical foundation for the dynamic generation of the thirteen Archimedean solids using GeoGebra Classic 5, revealing the constructive logic and exact deductive calculations governing these geometric transitions. The methodology employs an applied research approach—combining qualitative and quantitative methods—grounded in traditional literature review and computational modeling. The findings demonstrate that the strategic use of sliders and vector animations in GeoGebra Classic 5 facilitates a tactile-visual understanding of mathematical connections, making instruction more accessible and human-centered. The study concludes that the convergence of the history of mathematics, deductive rigor, and computational modeling technologies opens new methodological horizons, fostering abstract spatial reasoning and geometric intuition in both K-12 and higher education.