Math art
Mandelbrot face

Mandelbrot face

You can zoom into this shape eternally, all from the tiny equation: z => z^2 + c

Wave Eyes

Wave Eyes

Drop 2 equal stones in water, and...

Waves 6

Waves 6

All waves of differing frequencies are orthogonal - each wave of a different frequency is its own dimension.

Sinc 6

Sinc 6

Drop 6 equal stones in water, and...

TAT

TAT

Mysteriously, the word TAT seems to appear around one center. TAT TVAM ASI

Orbital 42.2

Orbital 42.2

This was a surprising pattern

O Gradient

O Gradient

What if you graphed where the circle equation was not just equal, but close to equal?

Square world water

Square world water

I observed how water moved in a pool, and tried to approximate its motion in the square world.

phyllotaxis 8

phyllotaxis 8

approaching stellar glory

The Entity

The Entity

Seen 2018-06-15. About 5 years later, I realized that the Nordic rune called Dagaz, which means "breakthrough / dawn / day / awakening".

sinc 7

sinc 7

...

Orbital 40.4

Orbital 40.4

This was a surprising pattern - similar to the flower of life

orbital_exclamation

orbital_exclamation

I walked into the room and was surprised to find a blue exclamation mark above this orbital laser cut piece.

pixel snowflakes 32.39

pixel snowflakes 32.39

They grow from seeds, like crystals

brain scan kernel

brain scan kernel

Kernel cymatics which look like brain scans

rainbow_vibration

rainbow_vibration

Vibrational rainbow kernel based on water

Flower of life gradient

Flower of life gradient

Flower of life gradient.

Sinc 2D

Sinc 2D

This is the shape of tuning in. I have seen it pop up in strange places.

Orbital 35.4

Orbital 35.4

Another surprising pattern

Logistic map

Logistic map

The logistic map models many things in nature, such as population dynamics. Seems simple and then chaos ensues.

magic

magic

...

Heart curve

Heart curve

Gradient of the heart curve: (x**2 + y**2 - 1)**3 - x**2 * y**3 = 0

Orbital 29.211

Orbital 29.211

Reminds me of protein structures

Tuning in

Tuning in

When you look not just at the exact place where the equation is precisely true - when you also look at the "error", you will find beauty.

I Ching

I Ching

Pattern which is several thousand years old. Some believe this is a template which models change.

You crazy star

You crazy star

This one seems to move when you move towards and away from it.

Green eyes

Green eyes

Interesting moire patterns.

Modulated sunset

Modulated sunset

Study in photo modulation

Moire 24

Moire 24

Moire pattern

Orbital 29.114

Orbital 29.114

Like a flower

Math loops

I mostly paint with math equations (outsourcing most of the details directly to God, which is the origin of the name, "God's Art"). I have an obsession with waves. I am generally driven by an exploration of the particle/wave duality nature of reality.

© 2024 Caleb Madrigal