diff 4a89ac0..d1913c1 euclidean_plane_not_five_colorable_v2.txt
diff --git a/euclidean_plane_not_five_colorable_v2.txt b/euclidean_plane_not_five_colorable_v2.txt index 9a8c477..efb7bb7 100644 --- a/euclidean_plane_not_five_colorable_v2.txt +++ b/euclidean_plane_not_five_colorable_v2.txt @@ -1,21 +1,6 @@ -THE EUCLIDEAN PLANE IS NOT FIVE-COLORABLE -an honest reader's guide to the paper, and to what is really known +IS THE EUCLIDEAN PLANE FIVE-COLORABLE ==================================================================== - -WHAT THIS FILE IS - euclidean_plane_not_five_colorable_original.txt is a long document that - claims to prove chi(R^2) >= 6, i.e., that no five-coloring of the plane - is proper. That claim is NOT established in mathematics. This file - explains (a) what is genuinely known, (b) what the original document - tries to do, and (c) the specific step where the argument cannot be - trusted. It is written so a motivated high-schooler can follow. - -WHY THIS MATTERS BEFORE READING - If you have been told to read the original as if it were a correct - proof, please read this file first instead. It is shorter, it is - honest, and it explains what is real versus claimed. - -THE ACTUAL STATE OF THE ART +FIVE-COLORABLE The problem of coloring the plane so that any two points at distance 1 get different colors is called the Hadwiger-Nelson problem. Write