wbp@hou2d.UUCP (W.PINEAULT) (03/23/84)
Re: color junk From: Wayne Pineault <hou2d!wbp> From a homology point of view a circle and a plane are not the same, but from the view of coloring they are the same, since you pick the point at infinity on the plane to map inside one of the regions on the sphere. Also, for a long time a closed coloring formula has been known for a sphere with any number of donut holes and mobius strips attached, as long as it was not a sphere! If you just plugged in 0 for a sphere the answer came out to 4, but the argument did not work for this case!!! There is a Springer-Verlag series of mathematics, and I saw this formula there, but I don't remember it. Wayne Pineault