Prompt:
A high-resolution 4K surreal 3D render of three intricate textures, derived from a Mandelbulb fractal manifold (\(n=16.478874\)) at \(\mathbf{c} = (0,0,-0.75)\), visualized via equatorial plane cut-off \(\Pi: z = 0.01\), enforcing bilateral \(D_8\)-symmetry and planar graph embedding (Euler \(V - E + F = 1\), 48-64 faces each), in a chaotic, shocking scene. Exact iteration: \(\mathbf{z}_{k+1} = \mathbf{z}_k^n + \mathbf{c}\), \(\mathbf{z}_0 = (0,0,0)\), bailout \(|\mathbf{z}_k| > 2\) at max_iter=64; spherical powering: \(r = \|\mathbf{z}\|_2\), \(\theta = \atan2(y,x) \in [0,2\pi)\), \(\phi = \arccos(z/r) \in [0,\pi]\); \(r' = r^n\), \(\theta' = n\theta \pmod{2\pi}\), \(\phi' = n\phi \pmod{2\pi}\); reconvert \(\mathbf{z}' = r' (\sin\phi' \cos\theta', \sin\phi' \sin\theta', \cos\phi')\). Isosurface via distance estimator \(de(\mathbf{x}) = |\mathbf{x}| \cdot \frac{25 - \log\log|\mathbf{z}_k| + 1}{25}\), fractal dim \(\approx 2.415\), genus 8-16. Highlight: genus-1 tori at \(\phi \approx \pi/2 \pm 0.1\) (mirrored voids), z-axis hyperbolic cusps (\(\kappa \approx -64/r^2\)), emerging chaotically with fusing them. Render: volumetric ray-marching (step 0.00125), iridescent fractal texture (reds #FF0000, greens #00FF00, blues #0000FF from \(\arg(\mathbf{z}_k)\)), subsurface \(\sigma=0.05\), specular 64; lighting: harsh z-fill, neon x-rim, deep blue void background #00008B; plane \(\Pi\) as glowing rift. Aspect 16:9, ultra-detailed, no artifacts.
Artist
