Ethereal Fractal Elegance in Blue Light

Ethereal Fractal Elegance in Blue Light

• Model: Grok

• Size: 2532 X 1424 (3.61 MP)

• Used settings:

  • Prompt: <lora:Intricacy Vibe:1.0>"Ultra-high-resolution cinematic render of the exact mathematical sculpture 'Topological Anthropomorphism', created using ONLY twisted complex hyperbolic trigonometry with zero explicit face design. The object is the zero isosurface df(p) = 0 where df(p) = shp( m(p/2.0) * 2.0 ), shp(x) = 2*sinh(x)/π, and the precise 3-iteration (LOOPS=3) hyperbolic twisted power map: POWER = 11.24788742, Φ = (1+√5)/2, TAU = 2*π*0.7887; z0 = chp(p) ⊙ p − p with chp(x) = 2*cosh(x)/π; for each iteration k=1 to 3: r = ||z||, θ = atan2(z.x, z.y), φ = asin(z.z/r) + subtle animation offset, dr = r^(POWER−1)*dr*POWER + 1, r = r^POWER, θ *= POWER/Φ, φ *= POWER/Φ, z = r * ( tan(shp(sin(θ)*sin(φ))) * Φ , chp(cos(θ)*sin(φ)) , cos(φ) ) + prev_p, prev_p = reflect(prev_p, z). perfect vertical mirror symmetry, near-perfect 180° rotational symmetry, ~14–16 major undulations, sharp apical crown spike, two dark almond-shaped upper minima, bright central vertical ridge, transverse horizontal nodal band crossed by 4–6 rapid vertical oscillations, bilateral petal/vortex pairs, bottom central starburst, and micro-scalloped edges. Rendered via analytic raymarching with refraction (index 1.0 outside / 1/1.25 inside), Beer-law absorption, Fresnel highlights, caustics, and Phong specular on deep-to-light blue gradient background (RGB 0,0,50 to 0,100,255). Extreme surface detail, refractive caustics, soft feathering at silhouette, no text, no labels, photorealistic volumetric lighting, 8K, cinematic, pure mathematical beauty --ar 16:9 --stylize 250 --v 6"
  • Using base image: No
  • Aspect Ratio: landscape_wide