MathDB

11.4

Part of 1993 All-Russian Olympiad Regional Round

Problems(1)

Combinatorial Geometry: assigning vectors to a regular k-gon

Source: ARO 1993, problem 11.4

6/17/2008
Given a regular 2n 2n-gon, show that each of its sides and diagonals can be assigned in such a way that the sum of the obtained vectors equals zero.
geometryvectorrotationcombinatorics unsolvedcombinatorics