User blog:Ynought/xUG function

The \(x\)\(UG\) function is defined as follows

you take an infinite square and now you apply the following rules :


 * 1) color a line segment of any length you want in one of \(n\) colors
 * 2) place a dot at any point where lines cross and color it
 * 3) remove any colors but the entirety of that color
 * 4) if there are 5+ different colors remove 2 of them entirely
 * 5) keep applying rules 1-4 until you have a graph whose colors are homeomorphically embeddable in some previous graph ​​​​​​