Trippy Cosmic Zeros of Polynomials

This image reveals the chaotic dance of polynomial zeros of degrees 2, 3, and 4. Notice how higher-degree polynomials bring additional layers of interference, creating a cosmic interference pattern in the complex plane.

Here, we isolate just degree 2 and 3 polynomials. The delicate symmetry and rotational structures emerge, hinting at hidden order within apparent randomness.

Dots are scaled by their distance from the origin, giving weight to their radial structure. This highlights the deeper fractal-like formations, reminiscent of energy fields in quantum mechanics.

In this version, smaller dots expose intricate interference structures, revealing a strange lattice of attractors and repellers in polynomial space.

Restricting coefficients to integer values between -20 and 20 creates an exquisite geometric pattern. This is where number theory meets algebraic topology in a cosmic dance.

Increasing resolution, we see the zeros of polynomials with coefficients from -2 to 2. Symmetry dominates, with delicate star-like structures emerging.

Using coefficients spaced by 0.2 instead of whole numbers, new interference bands emerge, revealing a hidden symmetry between algebra and geometry.

A closer look at polynomials of degree 2, 3, and 4 reveals even more intricate cosmic patterns—nested waves of algebraic interference.

Taking a magnifying glass to degrees 2 and 3, we uncover new levels of periodic structure and recurrence, hinting at a universal mathematical framework.

Further zooming into the fractal depths, polynomial zeros look like a galactic explosion. The universe itself may be written in the language of polynomial roots.