This repository contains my animation and diagrams on the equation a^n + b^n = c^n.
In the diagram, a specific n is chosen and then we view both the absolute solutions (displays points which exactly satisfy the equation), but also the continuous solutions, where we colour each point based on how close ( a^n + b^n ) ^(1/n) is to an integer (0.5 = furthest, 0 or 1 = closest). We look at all 4 quadrants in this diagram.
In the animation, we only focus on the 4th quadrant due to negative values resulting in complex results, which the program can't handle. We look at only the continuous solutions, since it's expected that for most values of n there will be no absolute solutions. We vary n over time according to some rate of change (defined in the program) and see how the graph gradually changes in appearance as a result.
The idea is to gain some insight into how this graph looks visually - it forms some interesting patterns.