It is a special case of a conjecture that one half times the smallest integer less than the quantity seven plus the square root of 48 times the genus of an orientable space plus 1, close quantity, is equal to a certain number associated with the space.
It is a special case of a conjecture that one half times the smallest integer less than the quantity seven plus the square root of 48 times the genus of an orientable space plus 1, close quantity, is equal to a certain number associated with the space. Originally known as Gurthrie's conjecture, a fallacious counter example was published as an April Fools day joke. This theorem showed that except in the case of the Klein bottle, the Heawood conjecture holds.  Originally solved by reducing the problem to 1,936 cases that were checked by computer, for 10 points, identify this theorem, which states that any map in a plane can be filled in with a certain number of colors.
It is a special case of a conjecture that one half times the smallest integer less than the quantity seven plus the square root of 48 times the genus of an orientable space plus 1, close quantity, is equal to a certain number associated with the space.
The Four-Color map Theorem