It boggles my mind how the left side of the political aisle wants more government control, and greatly trusts the state, while the right wants the government to take a more hands-off approach in comparison, yet the right wingers are considered to be more fascist than left wingers.
Fascism requires three things: authoritarianism, trust in the state, and private sector cooperation in authoritarian measures. It's easier to find people who believe in all three on the left than on the right.
@midway This is interesting. If I had more time, I'd plot myself somewhere along these axes to see where I land.
For example, the more individualist you are the more likely you are to see the other two sides as two side of the same statist (faschist?) coin. It just looks like they are arguing about who wears the jack boots and who goes to the camps.
The equality side sees both the stability and individualist as phobists who want to increase inequality.
The stability side sees the other two as lawless degenerates.
Doc Freemo 
Huh? thats not a trichotomy since it is not "one, or the other, or the other"... If you could be only fully one of those three things, and not a combination, then it would be a trichotomy.
What you are really describing are three seperate scales of two dimensions each that are being visualized on the same chart, nothing more.
It is called a ternary plot
Im not talking about the name, im talking about the concept.
This doesnt actually change the concept, the concept is still a binary scale. All this points out is there are 2 other binary scales that describe politics we talk about less. But the point is the scale is still binary.
What this changes is simply how we visualize the data, the concepts themselves are the same after this new information.
@midway
I guess this is a US centric representation. None of it really applies to most EU nations for example
@realcaseyrollins
Sure, certain sides of the triangle may be more prevalent in different parts of the world at different times, but the principles are universal. You may choose different names for them and that’s fine as well. I’m more interested in the concepts.