Of course a mathematician can chart all ideologies. You just have one axis.
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Stalin A/S Socialism Progressives Democrats Moderates Republicans Libertarians A/C Hitler
Obviously, anything that can be labeled as 'extreme' is bad because we put a bad guy on each end of the spectrum, and this is the best way to analyze politics.
There is so many things wrong with this scale, I'm not even going to address it. However, based on the premise that everyone views politics with themselves as the "center", I'd bet dollars to donuts that you consider yourself a moderate Democrat.
And I can relate. I was a Green as a younger man, then I studied the science and learned that the Greens were full of crap. So then I thought that I must be a Democrat. Even became a state delegate, where I learned that the name was a misnomer, and democracy was nowhere to be found within the Democratic Party. But I knew that I wasn't a Republican, who (ironicly) believe that democracy works.
I assure you, a Nolan chart is far better at representing ideologies compared to one another than the left-right spectrum.
