The vertical axis is supposed to be the economic dimension, and the horizontal axis is the personal/social dimension. Right is free, left is control, up is control, down is free.
Thus, the traditional definitions of the quadrants, starting in the upper left and going clockwise, are statism, conservatism, libertarian, and liberalism. 
But that's not what your chart in post #24 had... You say right is personal freedom, yet the farthest right on your chart is Nazi/Fascism, followed by monarchies. Neither of those is big on personal freedom. Likewise, the bottom far-left is anarchists, and they are certainly much more about personal freedoms than their left-side placement.
My bad...I was tired and posted the wrong pic.
The traditional approach to the grid is to measure views on economic and personal freedom, positing that left/right doesn't work. A typical conservative thinks taxes should be low and drug laws high, while the typical liberal thinks the reverse. Statists want drug laws and taxes high and libertarians want both to be low.
The chart I posed on #24 was in response to a pythonesque request that his preferred governmental form be presented in a grid. In retrospect, I delivered on that but, frankly, it's not the best grid ever. For example, contemporary conservatives should be in the upper right quadrant, with strong economic freedom desires (right side) but muted personal freedom desires (upper half).
This quiz helps to illustrate the point.