I just installed gnuplot and I am trying to set the default terminal view. On the wikipedia page for gnuplot, there is an image with a graph:
Which terminal view is shown in the image at the link?
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Your image looks more like
qt than X11, so you could reinstall gnu plot to call the qt graphics library:
brew reinstall gnuplot --with-qt5
That's much simpler than getting XQuartz and X11 running since homebrew installs everything you need.
If you wanted to go X11 for reasons, then here is a nice tutorial and links to the visualization tools that should work on recent OS X versions.
It uses X11 for the visualization and should help you get your graph on.
http://xquartz.macosforge.org/landing/Install the package that gets downloaded, then
brew rm gnuplot && brew install gnuplot --with-x11
Then start XQuartz, make a new xterm and run a script like this in the xterm window running
set terminal x11 set title "Some Math Functions" set xrange [-10:10] set yrange [-2:2] set zeroaxis plot (x/4)**2, sin(x), 1/x
Skip the "set terminal" line if you are using qt as it gets set for you when gnuplot starts. If you need monochrome, you can also
set terminal xterm.