MathDB

6

Part of 2016 Regional Olympiad of Mexico West

Problems(1)

>=512 different isosceles triangles whose vertices have the same color

Source: Mathematics Regional Olympiad of Mexico West 2016 P6

9/7/2022
The vertices of a regular polygon with 20162016 sides are colored gold or silver. Prove that there are at least 512512 different isosceles triangles whose vertices have the same color.
Coloringcombinatoricscombinatorial geometry