How to make points one color when a third column equals zero, and another color otherwise, in Gnuplot?

Question

I need to vary the point color for a row of values based on the color in one column. The data:

# x y z
1, 3, 0  
1, 5, 6  
3, 5, 2  
4, 5, 0

<

Answer 1

You can adjust the palette by

set palette defined (-0.1 "blue", 0 "red", 0.1 "blue")

Answer 2

This is probably close to what you want:

set palette model RGB defined ( 0 'red', 1 'green' )
plot[0:5][0:6] "file.dat" u 1:2:( $3 == 0 ? 0 : 1 ) with points palette

You could go one step further and remove the "noise":

unset key
unset colorbox
plot[0:5][0:6] "file.dat" u 1:2:( $3 == 0 ? 0 : 1 ) with points pt 7 ps 3 palette

if only the differentiation between zero and non-zero matters.