Nonlinear Diophantine equations: Colored textures by roots of mod(X^n+Y^n,P)=0

The main purpose of this demo is to show how the roots of certain Diophantine equations may create beautiful symmetric patterns. More about 'Mathematical art' in the playlist

Twelve colored graphs of the roots of Diophantine equations mod(X^n+Y^n,P)=0 are displayed stepwise for all non-negative integers X,Y until 2P so that points related to the directions specified by same p,q numbers (explained in previous demos) have the same color. Definition of p,q numbers is also reported in
Each graph emerges step by step through several symmetric phases.

Mathematical background information:

Twelve more demos in

All demos about this topic:
1. Plotting solutions of nonlinear Diophantine equations^a+Y^b=cZ
2. Patterns of roots in nonlinear Diophantine equations X^4+Y^4=cZ
3. Grids of roots in nonlinear Diophantine equation X^4+Y^4=17*Z
4. Patterns of roots in nonlinear Diophantine equations X^n+Y^n=cZ
5. Solutions (X,Y) of X^n+Y^n=cZ from minimal setup
6. Symmetries of roots in nonlinear Diophantine equations X^n+Y^n=cZ
7. Automatic solution of nonlinear Diophantine equations mod(X^n+Y^n,P)=0
8. Nonlinear Diophantine equations: Stepwise display of roots for mod(X^n+Y^n,P)=0
9. Nonlinear Diophantine equations: Colored textures by roots of mod(X^n+Y^n,P)=0
10. Nonlinear Diophantine equations: Colored textures 2 by roots of mod(X^n+Y^n,P)=0