Surreal Mathematics in 3D Human Form

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  • Boris Krumov's avatar Artist
    Boris Krum...
  • DDG Model
    AIVision
  • Mode
    Pro
  • Access
    Public
  • Created
    5d ago
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Prompt

A 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.

More about Surreal Mathematics in 3D Human Form

A detailed, surreal close-up of a masculine, mathematical human face rendered in a grid-like, light gray 3D wireframe, against a light gray background covered in overlapping mathematical equations and geometric lines. The face is centered in the image, with his eyes closed and mouth slightly ajar, as a variety of small, intricate, ornate, three-dimensional elements representing organic circuitry and mechanical forms emerge in fractal patterns from his facial features, including the areas around his eyes, cheeks, nose, and mouth. The three-dimensional elements include small spheres, concentric circles, gears, spirals, and twisted tubes, in shades of white, black, gray, purple, green, yellow, orange, and brown, with some elements appearing metallic and shiny, while others are matte. The elements around his left eye (viewer’s right) are predominantly white, black, and gray, while the elements around his right eye (viewer’s left) also feature gold and bronze tones, appearing to explode outwards like a dynamic burst of data. Below his mouth, a vibrant cluster of yellow, purple, orange, green, and red elements spills downwards. White wisps suggest energy or data flow among the elements. The mathematical equations covering the background are

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