Prompt:
A render of an object with power \( P = 11.24788742\pi \), fixed iterations \( \text{LOOPS} = 256 \), initialized as \( z = \text{chp}(p) * p - p \) where \( \text{chp}(x) = \frac{(\exp(x) + \exp(-x))}{\pi} \), \( \text{shp}(x) = \frac{(\exp(x) - \exp(-x))}{\pi} \), \( \text{chpp}(x) = \frac{(\exp(x / (\cosh(x) \pi)) + \exp(-x / (\cosh(x) / \pi)))}{2 \pi \Phi} \), \( \text{shpp}(x) = \frac{(\exp(x \sinh(x) \pi) - \exp(-x \sinh(x) \pi))}{2 \pi \Phi} \), \( \text{ssh1}(x) = \frac{\sinh(x / \pi)}{\Phi} \), \( \text{csh1}(x) = \frac{\cosh(x / \pi)}{\Phi} \), \( \Phi = \frac{(1 + \sqrt{5})}{2} \) golden ratio, \( \tau = 2 \pi * 0.7887 \); iteration: \( r = ||z|| \), if \( r > 2 \) continue, \( \theta = \text{asin}(z_z / r) + 0.2t \) animated, \( \varphi = \text{atan}(z_x, z_y) \), \( dr = r^{P - 1} dr P + 1 \), \( r = r^P \), \( \theta = \theta P / \Phi \), \( \varphi = \varphi P / \Phi \), \( z += r * (\tan(\text{shp}(\sin\theta \sin\varphi)) \Phi, \text{chp}(\cos\theta \sin\varphi), \cos\varphi) + p \), \( p = \text{reflect}(p, z) \), final \( \text{DE} = 0.75 \log(r) r / dr \) scaled by \( \text{shp}(\text{DE} * 2) \); ray-marched with max marches = 96, tol = 10^{-5}, bounces = 8, refraction index 1.01275, Beer absorption \( \exp(-(t + 0.1) * -\text{HSV}(0.05, 0.95, 2)) \), diffuse \( \text{HSV}(0.6, 0.85, 1) \), glow \( \text{HSV}(0.065, 0.8, 6) \), sky \( \text{HSV}(0.6, 0.86, 1) \) with warped reflections via ssh1, chpp, \( \text{fract}(\text{clamp}(0.125 / |\text{reflected cross}| * \text{skyCol}, -120, 16.547)) \); rotated by \( \text{rot\_x}((1.221 t + \pi) / \tau) \), camera at \( (0, 2, 5) * 0.6 \), FOV \( \tan(\tau / 6) \), ACES tone-mapped, sRGB gamma; central bulbous form with pink core, orange lobes, black voids, cyan shell, rainbow tunnel background.
Apply: TE \otimes_{TB} TF \xrightarrow{h_E \otimes h_F} TE \otimes_{TB} TF \xrightarrow{\ \ \ \ \tau\ \ \ \ } T(E \otimes F).
vec3 col = fract(clamp(vec3(0.125/abs(reflect(cross(rd,ro),reflect(shpp(ro),chpp(rd))).z))*skyCol, -120.0, 16.54788745));
Artist
