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ArtistA highly detailed, symmetrical anthropomorphic visage emerging from precisely defined iterations by the following mathematical formulations and parameters: core distance estimator function mandelBulb(vec3 p) with power = 11.24788742, loops = 3, initial z = chp(p)*p - p where chp(x) = (exp(x) + exp(-x))/pi and pi = 3.1415926535897932384626433832795 / asinh(TIME), tau = 2*pi, then iterate r = length(z), theta = atan(z.x, z.y), phi = asin(z.z / r) + TIME*0.2 (animated), dr = pow(r, power - 1.0) * dr * power + 1.0, r = pow(r, power), theta = theta * power / PHI where PHI = (sqrt(5.0)*0.5 + 0.5), phi = phi * power / PHI, z = r * vec3(tan(shp(sin(theta)*sin(phi)))*PHI, chp(cos(theta)*sin(phi)), cos(phi)) + p where shp(x) = (exp(x) - exp(-x))/pi, with p = reflect(p, z) and final return 0.75 * log(r) * r / dr; overall distance field df(vec3 p) = shp(mandelBulb(p / 2.0) * 2.0) after applying global rotation g_rot = rot_x(((1.221*TIME + pi)/tau)); rendered via ray marching with max marches = 48, tolerance = 0.00001, normal offset = 0.00125, max length = 20.0, up to 8 bounces incorporating reflections, refractions with material vec3(0.8, 0.5, 1.05), Beer-Lambert absorption exp(-(st + 0.1)* -HSV2RGB(vec3(0.05, 0.95, 2.0))), Fresnel mixing, diffuse lighting from vec3(0.0, 10.0, 0.0), and sky color HSV2RGB(vec3(0.6, 0.86, 1.0)) with plane intersections; additional hyperbolic variants shpp(x) = (exp(x*(sinh(x)*pi)) - exp(-x*(sinh(x)*pi)))/tau*PHI, chpp(x) = (exp(x/(cosh(x)*pi)) + exp(-x/(cosh(x)/pi)))/tau*PHI, ssh(x) = (exp(x*pi/0.7887) - exp(-x*pi/0.7887))/(2.*pi), csh(x) = (exp(x*pi/0.7887) + exp(-x*pi/0.7887))/(2.*pi), ssh1(x) = sinh(x/pi)/PHI, csh1(x) = cosh(x/pi)/PHI applied in sky reflections and ray directions; visually manifesting as a translucent, iridescent pink-magenta bulbous head with deep red-black void eyes, triangular abyssal mouth, flanking black wispy tendril streams dissolving into particles, set against a gradient azure blue background, in a psychedelic surreal style with crystalline fluid textures and topological manifold distortions evoking alternations of human-like features from higher-dimensional chaos.
A highly detailed, colorful, abstract, symmetrical 3D fractal render of an alien-like creature with a large, smooth, reflective pink head and a textured face. The eyes are large and glowing red, contrasting with black pupils. Below the eyes is a triangular shape that creates a gaping mouth, revealing smaller, organic, heart-shaped forms within. The face features intricate, swirling, bio-luminescent patterns in shades of pink, purple, and blue. Long, thin, wavy black tendrils emanate from the sides of the head and cascade downwards, appearing to be composed of numerous fine lines. These tendrils are adorned with glowing pink particles that burst out, resembling a nebula or energy discharge. The creature is set against a clear, vibrant blue sky with soft, wispy white clouds scattered across the horizon, creating a stark contrast with the complex, otherworldly figure.