Do you know of a test that has these axes, or more? I would be very interested to take it if so, and I am inclined to agree with you about the political compass test and others like it - they dont capture the true complexity of most people’s political views - I’m all over the place myself
Each axis would give it a new dimension. One axis is just a line, two are a flat square, three would be a cube and adding a fourth one would literally make it 4d, which we cannot perceive with our eyes. It’s one of the reasons it’s so hard to accurately describe a person’s politics using a chart, aside from the other methodological issues.
What about a 3D chart, with the 4th axis being portrayed via the Hue value of the point on the chart? That would make it somewhat readable.