A 3D Educational Approach in Stereometry Training

Penio Lebamovski 1), Mariyana Nikolova 2)
1) Institute of Robotics, Bulgarian Academy of Sciences
Sofia, Bulgaria
2) “St. Cyril and St. Methodius” University – Veliko Tarnovo, Bulgaria Велико Търново (България)

https://doi.org/10.53656/math2024-5-3-a3d

Abstract. This article presents a new educational approach to teaching the discipline of stereometry by creating a 3D application working in virtual reality (VR) with and without immersion. The application is developed using Java3D. A new algorithm that uses elements of Cavalieri’s method of indivisibles and Isaac Newton’s method of limits is applied to generate regular polygon-based geometric figures, such as prisms and pyramids. A traditional method using trigonometry and 2D/3D graphics extrusion generates geometric shapes such as cone, cylinder and torus. The application interface uses 2D techniques, such as buttons, slider and text field/area, and 3D technique – navigation sensors, through a joystick. The new application will improve the way in which students gain new knowledge and will create a closer relationship between teachers, students, and VR.
Keywords: virtual reality (VR); e-learning; stereometry; 3D printer

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