Will, 

  Your presentation to the class was truly excellent -- fun, great use of visuals, 
  just the right level of detail, good choice of topics to include, etc.  Your
  paper is also very interesting and generally well-presented. 

  Since Meisters' "Two Ear theorem" is an important component of the proof, you 
  might have said more about it.  How hard is it to give a complete proof?
  
  The section on Chvatal's proof is really good, but it would be easier to follow with
  a couple of well-chosen diagrams.

  I also have a few relatively minor comments below.  


  Specific comments:

  Page 1:  Jordan curves include the simple closed polygonal curves you are looking
  at, but they are considerably more general.  The Jordan Curve Theorem says that
  any continuous simple closed curve (image of a continuous mapping f: [0,1] -> R^2
  that is 1-1 except for f(0) = f(1)) divides the plane into an inside region and an
  outside region, an "obvious" fact that is surprisingly complicated to prove.  

  Page 3:  "specifically based of off the work"  I don't know where this idiom 
  "based off of" comes from.  I know it is very common today in casual speech.
  But in formal writing, I would say it's better to stick to "based on."

  Page 5:  You're right to say "what Chvatal calls a fan" because there's another, 
  perhaps more common, definition of a fan that is also used in my part of mathematics
  (algebraic geometry, in connection with what are known as toric varieties). This
  more general type of fan is a collection of polyhedral cones with the property that 
  a face of any cone in the collection is one of the cones in the collection, 
  and the intersection of any two cones in the collection is also in the collection.
 
  Page 5: "value of the equation [n/3] " -- maybe say "expression [n/3]."  Strictly
  speaking, you do not have an equation there.   

  Page 5:  "Where the problem arises is that there is not always instances in which an 
  internal diagonal can remove 4 edges."  "is" should be "are" here (subject-verb agreement)

  Page 8:  "(Meister’s Two Ear theorem that every polygon of n ≥ 4 vertices has at least 
  two of these ears.)"  I think the name of the person who gets credit for this is Gary 
  Meisters, so the apostrophe should go after the s.  Also, this is not a complete sentence;
  you're missing a verb!  (In English, unlike Greek, you can't omit a verb when it's a form 
  of "to be.")
  
  Final Project: 

  Annotated Bibliography -- 5/10
   
  Presentation -- 35/35

  Paper -- 53/55

  Total -- 93/100   (letter: A-)