259

Part of 1978 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 259 All Soviet Union MO 1978 1978 inscibed squares in plot of y=Asin(x)

Source:

Prove that there exists such a number

A

that you can inscribe

1978

different size squares in the plot of the function

y = A sin(x)

. (The square is inscribed if all its vertices belong to the plot.)

Squarescombinatorial geometrycombinatorics