#abstractsphere

Abstract Sphere of Scientific Exploration

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Generate the following: Represent 3D points in spherical coordinates where \( r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}} \), \( \theta = \text{acos}(z/r) \), \( \phi = \text{atan2}(y, x) \). The power operation \( v^n = r^n \cdot [\sin(n\theta) \cos(n\phi), \sin(n\theta) \sin(n\phi), \cos(n\theta)] \). Iteration: \( v_{k+1} = v_k^n + c \), starting from \( v_0 = (0,0,0) \), with escape if \( |v_k| > 24.78 \) after 64 iterations. Use ray marching with distance estimator \( DE(p) \approx (1/2) \cdot (r - R) / |dr/dv| \) for rendering, applying escape-time coloring, orbit traps, and Phong shading for neon glow effects. Using also: $$ \sum_{n=0}^\infty \left(\frac{1}{2^n}\right), \quad \int_{-\infty}^\infty e^{-x^2} \, dx = \sqrt{\pi}, \quad f(x) = x^2 + c, \quad z_{k+1} = z_k^2 + c, \quad |z| = \sqrt{x^2 + y^2}, \quad z = r e^{i\theta}, \quad z^2 = r^2 e^{i2\theta}, \quad x' = r^2 \cos(2\theta), \quad y' = r^2 \sin(2\theta) $$ $$ r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}}, \quad \theta = \text{acos}(z/r), \quad \phi = \text{atan2}(y,x), \quad v^n = r^n [\sin(n\theta)\cos(n\phi), \sin(n\theta)\sin(n\phi), \cos(n\theta)], \quad v_{k+1} = v_k^n + c, \quad DE \approx \frac{1}{2}\frac{(r-R)}{|dr/dv|} $$ along with additional generic math like \( \sum \), \( \int \), \( \frac{\partial}{\partial x} \), \( \lim_{x\to\infty} \), \( \Gamma(z) \), \( \zeta(s) \), and graphs of functions such as sine waves, parabolas, and axes arrows. Ensure the composition is centered on the fractal with soft glows, high resolution, surreal and mathematical aesthetic, similar to AI-generated fractal art in a cosmic math universe.
  • Using base image: No
  • Aspect Ratio: square

Whimsical Colorful Bubble Sphere in Dreamland

• Model: Artistic 2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Molecular
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Abstract Sphere of Swirling Colors

• Model: Deep Style

• Size: 1440 X 1440 (2.07 MP)

• Used settings:

  • Prompt:
  • Using base image: Yes

Vibrant Abstract Sphere with Colorful Patterns

• Model: DaVinci2

• Size: 1376 X 1376 (1.89 MP)

• Used settings:

  • Prompt: a chirality of molecular structures exhibiting quantum duality shaped like entanglement with trypophobia-inducing holes. , symmetry;
  • Using base image: Yes

Monochrome & Color

• Model: AIVision

• Size: 1792 X 1024 (1.84 MP)

• Used settings:

  • Prompt: A surreal ink and watercolor portrait of a woman with a dual aesthetic: one side is colorful in vibrant intense radiant shades and detailed patterns; the other is grayscale featuring a multitude of shaded spheres creating a textured, dimensional look, her long colorful flowing and blending with spheres,with one eye being surrounded by vivid orange and yellow floral details and the other by monochromatic circles. Amazing details and sharp contrasts give the image a striking, hyper-realistic quality, highly detailed textures, intricate, highly structuret shiny skin, high resolution, high quallity
  • Using base image: No
  • Aspect Ratio: landscape