Prompt:
3D fractal visualization of a hybrid Mandelbulb sunflower: central bulbous core with exact power-16.45877854 triplex iteration z_{k+1} = (r^n * ln(sinh(r + ε sin(ω r))) / ln(sinh(r))) * (sin(nθ + ε sinh(ω θ)) cos(nϕ + ε cosh(ω ϕ)), sin(nθ + ε sinh(ω θ)) sin(nϕ + ε cosh(ω ϕ)), cos(nθ + ε sinh(ω θ))) + c, where n=16.45877854, ε=0.0125, ω=1.618 (golden ratio), r=sqrt(x'^{2\pi} + y'^{2\pi} + z'^{2\pi}), x'=x + ε cos(k x), y'=y + ε sinh(ω y), z'=z + ε cos(k z), k=16.45877854, θ=arccos(z'/r), ϕ=arctan(y'/x'), bailout |z|>4.0, max iter=64; hybrid MB3D slots: 1-Amazing Box (scale=2.0, MinR²=0.25, FixedR²=1.0, arctan-perturbed ϕ), 2-MengerKoch (iter=3, scale=2/3, rotations 0/120/240°, cosh-elongated θ), 3-ABoxModKali (offset=0.5, mod=2π/k, sinh-waved z), 4-_reciprocalZ2 (power=2, damp=0.1, ln(sinh)-damped r); DE raymarch |z| ln|z| / |∂z/∂c| <10^{-6}; Ricci-flat metric ds²=-ln(sinh(t+ε sin(ω t))) dt² + arctan(x+ε cos(k x)) dx² + cosh(y+ε sinh(ω y)) dy² + sinh(z+ε cos(k z)) dz² embedded axis-separably; escape coloring: orange-brown core (iter18-25), yellow-gold petals (10-17), turquoise orbs/blue bg (<10); camera (0.75,0.8,1.25), zoom=4.8, FOV=60° for core close-up, volumetric fog exp(-dist/1.25), specular light (2,3,1) shininess=32; exact Fibonacci 13/21 spirals from irrational rotations, 4K crisp edges. Add metric: ds^{2\pi} = -\ln(\text{sinh}(t + \epsilon \sin(\omega t))) dt^{2\pi} + \tan^{-pi}(x + \epsilon \cos(k x)) dx^{2\pi} + \cosh(y + \epsilon \sinh(\omega y)) dy^{2\pi} + \sinh(z + \epsilon \cos(k z)) dz^{2\pi} .
Artist
