User blog:Ynought/UG function

You take a square with side length \(n\) and place a line after every unit.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.keep applying rules 1-3 you have a graph whose colors are homeomorphically embeddable in any previous graph