Final answer:
The Euler-Poincare law is a mathematical law that relates the number of vertices (V), edges (E), and faces (F) of a polyhedron. It states that V - E + F = 2.
Step-by-step explanation:
The Euler-Poincare law is a mathematical law that relates the number of vertices (V), edges (E), and faces (F) of a polyhedron. It states that V - E + F = 2.
For example, consider a cube. It has 8 vertices, 12 edges, and 6 faces. Plugging these values into the Euler-Poincare formula, we get 8 - 12 + 6 = 2, which holds true.
This law is useful in topology and geometry to determine properties of polyhedra and surfaces.