2D Case: Polynomial Encroaching

Covers the concepts of faces, facets, and vertices in polyhedra, exploring minimal faces and inequalities.

Explores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Covers proper and cast shadows in descriptive geometry with practical examples and exercises.

Explores convex polyhedra, linear programs, and their optimization importance.