Question 6
Is there a 1990-gon with the following properties (i) and (ii)?
(i) All angles are equal;
(ii) The lengths of the 1990 sides are a permutation of the numbers $1^2,2^2,\ldots,1989^2,1990^2$.
(i) All angles are equal;
(ii) The lengths of the 1990 sides are a permutation of the numbers $1^2,2^2,\ldots,1989^2,1990^2$.