Question

[22-16]

What is the largest possible number of acute angles that a 2001-gon (shape with 2001 sides) can have if no two sides cross each other [?]

[Hurkyl]

Depends on how you measure the angles.

If the angle at a concave vertex is measured externally to the polygon, then I can give you 2000 acute angles, and can probably give you the 2001-st as well.

Hurkyl

[Ben-CS]

It is possible to make a 2001-gon with 1334 acute internal angles.