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What is the largest possible number of acute angles

  1. Mar 31, 2003 #1
    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 [?]
    Last edited by a moderator: Feb 4, 2013
  2. jcsd
  3. Mar 31, 2003 #2


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    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.

  4. Mar 31, 2003 #3
    It is possible to make a 2001-gon with 1334 acute internal angles.
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