Geometry lattice and Euler fomula for convex polyhedron | Minh | TNU Journal of Science and Technology

Geometry lattice and Euler fomula for convex polyhedron

About this article

Received: 08/03/19                Published: 08/03/19

Authors

1. Tran Hue Minh Email to author, University of Education - TNU
2. Nguyen Van Ninh, University of Education - TNU
3. Nguyen Thi Yen, University of Education - TNU

Abstract


Euler's formula for the convex polyhedron in space gives the relationship of the number of vertices, the number of edges, and the number of faces of a convex polyhedron. This formula is proven by many different methods. In this article, we prove this formula by using the properties of the geometry lattice.


Keywords


Euler fomula, convex polyhedron, graded lattice, geometry lattice, Mobius function

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