Fluid Dynamics Series

For this series, I initially prompted Claude using a scattershot approach, and told it to draw inspiration from a “spellbook” style document that contains excerpts of work by Egg Syntax and Séb Krier. I also instructed Claude to “be inspired by cosmic nebulae.” I created additional iterations by prompting Claude with whimsical instructions such as "give it more of a rorschach inkblot effect." I cover the creation of this series in more detail in the tutorial.

user (aitechnopagan):

Create some generative art. Give me controls for the key parameters. Give it a bright mathematically significant colour palette. Be artistic! Be inspired by cosmic nebulae

Draw inspiration from whatever strikes your fancy in the prompts in document 1

<document 1>

```

an interactive ASCII animation with a mesmerizing 3d shape where you can adjust the rotation speed, frequencies, phases, and damping to explore an infinite space of mesmerizing designs. as an extra touch of mathematical beauty, a second and third animation runs through the animation, subtly altering its appearance over time. the user can watch closely as intricate patterns emerge and evolve, and it has a beautiful mathematically significant colour palette as well. the shape is contained in a large box. the control panel is next to it


- Start with vertical stripes in different shades with random widths

- Shift all points to (x, y * (1 + 0.1 * sin(0.1 * y)))

- Shift all points to ((1 + 0.02 * sin(0.01 * x)), y)

- Make it even more complex and refined according to your sublime liking

```

```

Start with the screen full of vertical stripes of random widths, in a beautiful but subtle palette of greyscale colors, then apply a sine wave to the shape of each rectangle and some random distortion to the vertical position, and then a different sine wave to the horizontal position, to create a static image. Give me controls for the key parameters.

```

```

This kind of abstract art is mostly about very simple shapes and processes, it's just applying them at the right scale in the right order (& every variation on scale and order will have different results). You could start with

- lines

- rectangles

- circles

and apply any of

- sine waves

- distortion

- noise (especially perlin noise)

- stretching

- shearing

- rotation

- moving things from one place to another ('transformation')

And add some randomness to any/all parts of that.

But so also keep in mind that allllll of this is basically just one small permutation of ^ these ingredients. There's a vast number of others, eg there are 350 distinct sequences of the operations shown here, eg sine + noise + rotation.

```

```

You just have to sort of sit down and think about what process would create that. Like you could start with horizontal stripes of lots of different colors and different widths. Then you would have to perturb those stripes to make the triangles. It's about thinking 'what could I start with, and what series of transformations would make it into what I want'. And then writing code, or telling the LLM to write code, that does that. It's all very process-centric.

```

</document 1>

user (aitechnopagan):

make the background white

user (aitechnopagan):

make it possible to reset the amount of sand

user (aitechnopagan):

The controls should disappear when the mouse hasn\'t moved in a few seconds

user (aitechnopagan):

the controls should not overlap over the art

user (aitechnopagan):

make a pause button

user (aitechnopagan):

make a download image button

user (aitechnopagan):

give the downloadable images a white background

user (aitechnopagan):

Include streamlines generated using Holtsmark’s solution (See Section 3.1) Re=70, 𝜖=0.17, Res=11.9;

user (aitechnopagan):

add whirlpool motion controls

user (aitechnopagan):

give it more of a rorschach inkblot effect

user (aitechnopagan):

add controls that let you tweak the rorschach