THE INTERSECTION OF POLYHEDRA WITH A PLANE
Abstract
This article analyzes the spatial-geometric properties of polyhedra and the theoretical foundations of their intersection with a plane. The definition of a polyhedron, its main elements (faces, edges, vertices), and its types are scientifically explained using examples of prisms, pyramids, and regular polyhedra. The property that the cross-section formed by intersecting a convex polyhedron with a plane is itself a convex polygon is substantiated through geometric and analytical approaches.
Fields of Study & Subjects
Mathematics and Applications
Advanced Combinatorial Mathematics
Computational Geometry and Mesh Generation
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 March 2026
- Language
- EN
- Document type
- Dataset