３年
05/07/26(Tue) 23:55:11 No. 22110 / 37 [RES]

Let A[n] be the square [(x,y):|x|≦1,|y|≦1] rotated through the angle 2πnθ. Give geometric description of
limsup[n] A[n] and liminf[n] A[n] in case
(a)θ=1/8;
(b)θ is rational;
(c)θ is irrational.Hint:The 2πnθ reduced moduro 2π are dense in [0,2π] if θ is irrational.


お願いします