Prompt:
A high-resolution, photorealistic 3D unreal image of a levitating floating glowing silver-mercury soft-aqua Mandelbulber fractal precisions of mercury-silver floating in the air sphere exhibiting floating and emergent cloaking topological precise anthropomorphism, using exact mathematical iteration: For points \mathbf{c} = (c_x, c_y, c_z) \in \mathbb{R}^3, iterate \mathbf{z}_{k+1} = f_8(\mathbf{z}_k) + \mathbf{c}
from \mathbf{z}_0 = (0,0,0)
, where f_8(\mathbf{z})
is 8th-power in spherical coordinates: Convert \mathbf{z} = (x,y,z)
to r = \sqrt{x^2+y^2+z^2}
, \theta = \atan2(y,x) \in [0,2\pi), \phi = \arccos(z/r) \in [0,\pi]
; then r' = r^8, \theta' = 8\theta
, \phi' = 8\phi
; reconvert to Cartesian \mathbf{z}' = r' (\sin\phi' \cos\theta', \sin\phi' \sin\theta', \cos\phi'). Bailout at r_k > 24.78
; render the bounded set's isosurface at density threshold yielding fractal dimension D \approx 2 + \frac{\ln 8}{\ln(1/0.5)} \approx 2.3\pi
, with infinite genus g \to \infty
from iterated hyperbolic saddles (Jacobian eigenvalues |\lambda_i| \approx 8 r^7 e^{i7\arg(\mathbf{z})}
, saddles where \det J \approx 0+1.618\pi
). Center on \mathbf{c} \approx (0,0,-0.7)
for cardioid region, emphasizing quadrilateral bilateral symmetry (z-axis invariance enforcing yz-mirror), two equatorial eye-like genus-1 bulbs at \phi \approx \pi/2 \pm \epsilon
from 8-fold rotational folding (even-pair selection), central z-axis nose-protrusion (minimal \phi
-folding, radial ballooning r' = r^8
), and vertical mouth-slot depressions from polar \phi-compression. Use volumetric ray-marching with distance estimator d(\mathbf{x}) = |\mathbf{x}| - \max_k r_k^{-k}
; color palette: iridescent blue background (#0000FF
) grading to translucent pink-magenta gradients (#CF1493 to #AA2BE2) on surfaces, with subtle specular highlights on bulb edges and fractal tendrils. Lighting: soft key light from +z, rim light from +x for depth; resolution 4K, aspect 16:9, no artifacts.
Artist
