This is related to the distribution of algebraic numbers of bounded height and degree; similar pictures have been presented e.g. in the classic post by Baez: ht

This is related to the distribution of algebraic numbers of bounded height and degree; similar pictures have been presented e.g. in the classic post by Baez: https://math.ucr.edu/home/baez/roots/ https://math.ucr.edu/home/baez/roots/ I have also drawn some pictures: https://drive.google.com/file/d/1vx-U28OgGIs1mfrgBb7OtgVsPWAL0DSr/view?usp=sharing https://drive.google.com/file/d/1vx-U28OgGIs1mfrgBb7OtgVsPWA... The discipline that deals with these distributions is called Diophantine geometry and involves tons of important and deep mathematics.