Futuristic Blue Sphere with Dynamic Elements

Futuristic Blue Sphere with Dynamic Elements

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A highly detailed render of a quasi-symmetrical anthropomorphic entity emerging from an iterative map in spherical coordinates (θ polar, φ azimuthal), defined by: \[ \mathbf{z}_{n+1} = \mathbf{z}_n + r_n \cdot \mathbf{k}(\theta_n, \phi_n) + \mathbf{p}_n \] \[ \mathbf{p}_{n+1} = \mathbf{p}_n - 2 \frac{\mathbf{p}_n \cdot \hat{\mathbf{u}}_{n+1}}{\|\hat{\mathbf{u}}_{n+1}\|^2} \hat{\mathbf{u}}_{n+1}, \quad \hat{\mathbf{u}}_{n+1} = \frac{\mathbf{z}_{n+1}}{\|\mathbf{z}_{n+1}\|} \] \[ r_n = \|\mathbf{z}_n\|, \quad \mathbf{k}(\theta, \phi) = \left( \sin\theta \cos\theta \cdot \frac{e^{\cos\phi} + e^{-\cos\phi}}{\pi}, \ \sin^2\theta \sin\phi, \ \cos\phi \right) \] with initialization \(\mathbf{z}_0 = \mathbf{0}\), \(\mathbf{p}_0 = \mathbf{q}\); bailout \(r > 10\) after 150 iterations; distance estimator \(DE(\mathbf{q}) \approx 0.5 r_N \ln(r_N) / dr_N\) where \(dr_{n+1} = dr_n (1 + \|J_{\mathbf{k}}\| + \frac{2\sinh(\cos\phi)}{\pi}) + 1\), \(dr_0=1\); ray-marched with ε=10^{-6}, Phong shading (α=30), orbital coloring HSV H=200°-100°(n/N), S=0.85 tanh(∫ chp(cos φ_k) dk / N), V=0.6+0.4 sin(π k/3) for reflection count k; featuring swollen iridescent-rimmed eyes, cavernous textured-lobed mouth, asymmetrical spiky protrusions, in blue-purple/orange-blue gradients on navy backdrop.
  • Using base image: No
  • Aspect Ratio: landscape