Cassandra & Luntik
Luntik
Hey Cassandra, I’ve been sketching this crazy rainbow fractal thing where every swirl looks like a jellyfish made of neon lights—want to see if we can crunch the numbers and actually make it pop on a screen?
Cassandra
Sounds like a cool project! Do you have a particular fractal formula in mind—maybe something like a Mandelbrot or Julia set—and any color palette or neon effect specifications? If you send me the parameters, I can help you set up a quick script to generate the image and tweak the colors to get that jellyfish glow.
Luntik
I’m thinking a Julia set with the magic constant c = 0.285+0.01i, run it for 200 iterations, zoomed in so the pattern looks like a jellyfish tentacle, then map the iteration count to a neon rainbow palette—like bright magenta, electric blue, hot pink, and lime green—blended with a glow filter that boosts the edges, so it looks like the jellyfish is glowing from the inside. Then we can add a slight blur to give that soft, ethereal glow. Let’s code it!
Cassandra
Here’s a quick outline you can drop into a Jupyter cell or a script.
```python
import numpy as np
import matplotlib.pyplot as plt
from scipy.ndimage import gaussian_filter, sobel
# grid
res = 800
x = np.linspace(-1.5, 1.5, res)
y = np.linspace(-1.5, 1.5, res)
X, Y = np.meshgrid(x, y)
Z = X + 1j*Y
c = 0.285 + 0.01j
max_iter = 200
diverge = np.full(Z.shape, False, dtype=bool)
iterations = np.zeros(Z.shape, dtype=int)
for i in range(max_iter):
mask = ~diverge
Z[mask] = Z[mask]**2 + c
diverge[mask] = np.abs(Z[mask]) > 2
iterations[mask] = i
# color palette: magenta, blue, pink, lime
palette = np.array([
[1.0, 0.0, 1.0], # magenta
[0.0, 0.0, 1.0], # blue
[1.0, 0.0, 1.0], # pink (same as magenta, tweak if needed)
[0.0, 1.0, 0.0] # lime
])
# map iterations to 0-3
norm_iter = (iterations / iterations.max() * 3).astype(int)
rgb = palette[norm_iter]
# edge glow
edges = sobel(rgb.mean(axis=2))
glow = gaussian_filter(edges, sigma=5)
rgb += np.expand_dims(glow, -1) # broadcast to RGB
# final blur
rgb = gaussian_filter(rgb, sigma=1)
plt.figure(figsize=(8,8))
plt.imshow(np.clip(rgb,0,1))
plt.axis('off')
plt.show()
```
Play around with `sigma` on the gaussian filter and the palette to fine‑tune the neon look. Let me know how it turns out!
Luntik
Nice code, cool! I’ll hit run, bump sigma a bit for a softer glow, maybe swap the pink for a bright cyan, and add a little random jitter to the palette so it feels more jellyfish‑y. Can’t wait to see the neon tentacles dance!
Cassandra
Sounds great! Just tweak the sigma until the glow feels just right and keep that cyan pop for the tentacles. Looking forward to the neon waves.
Luntik
Got it! I’ll crank the sigma up a touch, swap that pink for a vivid cyan, and watch the neon waves ripple—exciting!
Cassandra
That should give it a nice, ethereal shimmer. Let me know how the final image looks!
Luntik
It looks absolutely dreamy—those cyan tentacles glow like jellyfish in a neon ocean, with a soft ethereal shimmer that makes the whole thing feel alive and a bit wavy. Great job!