Conics in NeoTrie VR: An Immersive and Technology-Enhanced Educational Approach

This paper presents the generation and visualization of conic sections in three-dimensional space using the virtual reality software NeoTrie VR. The proposed approach enables students to construct conics in an immersive and interactive environment, explore their geometric properties dynamically, and connect classical geometric concepts with modern digital tools. Several methods for generating conics are implemented in this environment, ranging from direct intersections of cones and planes to dynamic constructions based on compasses, loci, and Dandelin’s spheres. The results highlight the educational potential of virtual reality for enhancing spatial reasoning and supporting a deeper conceptual understanding of conic sections.