🚀 go-pugleaf

In article <41295.2B62BCAE@puddle.fidonet.org>, Brian.Mcdonald@p4.f18.n128.z1.fidonet.org (Brian Mcdonald) writes:
|> how many polygons are there that all its sides are longer than any of its 
|> diagonals

All right! A COUNTING problem. Counting and categorizing are said to be the
two hardest topics in math. So let the count begin! Ha Ha Ha Ha (thunder
and lightning)

I submit the triangle to the count. For all x, if x is a diagonal of a
triangle, then every side of the triangle is longer than x. This is

                                  true

because triangles have no diagonals. 1 Ha Ha Ha Ha (thunder and lightning)

I ask
  (1) Prove that every polygon has a convex corner.
  (2) What comes after the triangle? (Can I say 2 Ha Ha Ha Ha
      3 Ha Ha Ha Ha?)

-- 

Henry Choy
choy@cs.usask.ca

What rolls down stairs alone or in pairs            This has been brought to 
Rolls over your neighbor's dog?                     you by the numbers 4
What's great for a snack and fits on your back?     and 9 and the letter P.
It's Log, Log, Log!  -- "The Log Song", from            -- Big Bird
                         Ren & Stimpy

Math is tough!       -- Barbie