MathDB

358

Part of 1957 Moscow Mathematical Olympiad

Problems(1)

MMO 358 Moscow MO 1957 closed broken line in space, no of segments div. by 6

Source:

8/20/2019
The segments of a closed broken line in space are of equal length, and each three consecutive segments are mutually perpendicular. Prove that the number of segments is divisible by 66.
combinatorial geometrybroken line3D geometrygeometryperpendicular