🚀 go-pugleaf

Here's a very *easy*, and nice, puzzle.  This puzzle is a close
relative of the one I posted on New Years' eve.  No flames, please,
for posting something so simple. Simple things can be interesting 
sometimes, as some of you would undoubtedly agree.

Suppose you are given 3 colors and asked to assign a color
to each point in a plane such that (a) you *must* use more than one
color for the entire plane; (b) *every* pair of points 1 inch apart
are colored alike.  Can you make such an assignment ? The plane is
a continuum of points, it is not a grid.

Kanad