Prompt:
A highly detailed 3D render of a quasi-symmetrical anthropomorphic crystalline entity emerging from a non-integer power iterative map in spherical coordinates (θ polar, φ azimuthal), defined by: power=12.24788742, loops=3, incorporating hyperbolic modulations chp(x)=(exp(x)+exp(-x))/π, chpp(x)=(exp(x/(cosh(x)*π))+exp(-x/(cosh(x)/π)))/τ*Φ where τ=2π, Φ=(1+√5)/2, shp(x)=(exp(x)-exp(-x))/π, shpp(x)=(exp(x*(sinh(x)*π))-exp(-x*(sinh(x)*π)))/τ*Φ, ssh(x)=(exp(x*π/0.7887)-exp(-x*π/0.7887))/(2π), csh(x)=(exp(x*π/0.7887)+exp(-x*π/0.7887))/(2π), ssh1(x)=sinh(x/π)/Φ, csh1(x)=cosh(x/π)/Φ; orbit: z=chp(p)*p-p, dr=1, for i=0 to loops-1: r=||z||, if r>2 continue, θ=atan(z.x,z.y), φ=asin(z.z/r)+0.2*time, dr=r^{power-1}*dr*power+1, r=r^{power}, θ*=power/Φ, φ*=power/Φ, z=r*vec3(tan(shp(sin(θ)*sin(φ)))*Φ, chp(cos(θ)*sin(φ)), cos(φ))+p, p=reflect(p,z), final r=||z||; distance estimator d(p)=0.75*log(r)*r/dr scaled by z1=1.4987789; initialization z0=0, p0=q, bailout r>2 early or after loops; ray-marched with tolerance=0.00001, max marches=84, length=68.7447, df(p)=shp(mandelBulb(p/z1)*z1*z1); featuring central molten orange-pink glowing orb with concentric iridescent swirl rings, symmetric deep-set "eye" vortices framing subtle central "nose" apex pinnacle, flared rippled "mouth" basin cavity with translucent cyan-blue rim sheens, paired upward-curling wispy bilateral tendrils like ethereal vapor horns; multi-bounce refraction (η=1.05, beer absorption exp(-st*beer) with beer=-HSV(0.05,0.95,2.0) for warm filtering, initt=0.1), Fresnel fre=(1+dot(rd,sn))^2 mix(0.1,1,fre) edge smoothstep, Phong shading (α=50, diffuseCol=HSV(0.6+hoff,0.85,1.0), mat=vec3(0.8,0.5,1.05)), skyCol=HSV(0.6+hoff,0.86,1.0) with plane intersections modulated by chpp for curved horizons (upper plane vec4(0,1,0,4), lower (0,-1,0,6) with box patterns), glowCol=HSV(0.065+hoff,0.8,6.0); global rotation g_rot=rot_x(((1.221*time+π)/τ)); fov=tan(1.278*τ/6); post-processing aces_approx tonemap, sRGB gamma; in pink-orange/cyan-blue gradients with internal luminescence on azure backdrop.
Artist
