Euler theorem
From Encyclopedia of Mathematics
For every polyhedron the number 
of its vertices plus the number 
of its faces minus the number 
of its edges is equal to 2:
 | (*) |
Euler's theorem hold for polyhedrons of genus 
; for polyhedrons of genus 
the relation
 |
holds. This theorem was proved by L. Euler (1758); the relation (*) was known to R. Descartes (1620).
How to Cite This Entry:
Euler theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_theorem&oldid=31997
Euler theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_theorem&oldid=31997
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article