#fractalpattern

Vibrant Fractal Elegance in Colorful Harmony

• Model: DaVinci2

• Size: 1304 X 920 (1.20 MP)

• Used settings:

  • Prompt: A highly detailed, abstract 3D Mandelbrot fractal rendering resembling a Mandelbulb variant with hyperbolic deformations, featuring a central orange bulbous orb surrounded by swirling, fluid-like lobes in shades of blue, pink, and yellow with iridescent, reflective surfaces and gradient transitions. The fractal is defined iteratively in \(\mathbb{R}^3\) for a point \(\mathbf{c} = (x_0, y_0, z_0)\), starting with \(\mathbf{z}_0 = \mathbf{0}\) or \(\mathbf{z}_0 = \mathbf{c}\), and iterating \(\mathbf{z}_{k+1} = r \cdot \vec3\left( \frac{e^{\cos \theta} - e^{-\cos \theta}}{\pi} \cos \phi, \cos \theta \sin \phi, \cos \theta \right) + \vec3\left( \frac{e^{p_x} - e^{-p_x}}{\pi} p_x, \frac{e^{p_y} - e^{-p_y}}{\pi} p_y, \frac{e^{p_z} - e^{-p_z}}{\pi} p_z \right)\), where \(r = \|\mathbf{z}_k\|\), \(\theta = \arccos\left( \frac{z_k \cdot z}{r} \right)\), \(\phi = \atantwo(z_k.y, z_k.x)\), and \(\mathbf{p}\) is a vector parameter like \(\mathbf{c}\). For higher powers n (e.g., 8), scale to \(r^n\), \(n \theta\), \(n \phi\). Iteration halts if \(r > 4\) or after 50 max iterations. Render using ray marching with distance estimator \(DE(\mathbf{q}) = 0.5 \cdot \frac{\log r \cdot r}{dr}\), surface normals via gradients, Phong/PBR shading with reflections, ambient occlusion, and coloring via orbit traps or escape time mapped to hues (orange for low iterations, blue-pink gradients for higher). Apply post-processing for anti-aliasing, depth-of-field, and glow to achieve a dreamy, metallic sheen, viewed zoomed into the central orb with asymmetric swirling arms, Hyper Realistic Fractal Art, HD-Resolution, Vibrant Every Color in The Rainbow Color Palette
  • Using base image: Yes

Cosmic Sphere in a Starry Landscape

• Model: Photonic

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Generate a high-resolution, purely artistic–mathematical visualization of the following highly exotic, static, spherically symmetric spacetime with deliberate irrational and fractional exponents (intended to probe fractal/fractional-dimensional geometry): $$ ds^{48.123321\pi} = \frac{ [ -dt^{2.8778\pi} + dr^{2.7887\pi} + \sin^{1.445877854\pi} r \, d\Omega^{1.2278\pi} ] }{ [ \cos^{2.144\pi} t + r^{2.7447\pi} \cos^{2.4774\pi} t - r^{2.5665\pi} ] } $$ using the coordinate transformation $$ t = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) + \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$ $$ r = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) - \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$ Please render a deep, surreal, fractal-style view of the spacetime (volumetric ray-marched, maximum iteration depth, caustic-heavy, self-similar detail) and overlay hundreds of numerically integrated geodesic paths starting from many different initial conditions and energies: - bright white/yellow null geodesics (light rays, photon orbits, possible unstable circular orbits) - red timelike geodesics (massive particles falling in, bound orbits, scattering hyperbolae) - blue spacelike geodesics where they exist Let the geodesics curve, branch, and fractalize naturally under these insane fractional powers and the position-dependent conformal factor in the denominator. Make the whole scene feel like a burning, recursive, higher-dimensional glass cathedral collapsing into infinite self-similar horizons. Absolutely no text, no axes, no labels — pure image.
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Dreamscape in Golden and Red Hues

• Model: Ideogram

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: dreamy landscape bursts with vibrant hues of golden and red wet inks, swirling and blending in a mesmerizing fractal pattern reminiscent of the intricate styles of Mandelbrot, Julia, Wassily Kandinsky, and Alphonse Mucha. Soft, warm sunlight filters through the scene, casting gentle shadows and enhancing the ethereal beauty of the colors. The background features delicate, stylized flora and fauna, adding depth and a sense of movement to the composition.
  • Using base image: No
  • Aspect Ratio: landscape
  • Ideogram Style: Auto

Vibrant Dreamscape in Ethereal Hues

• Model: Ideogram

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A dreamy landscape bursts with vibrant hues of golden and red wet inks, swirling and blending in a mesmerizing fractal pattern reminiscent of the intricate styles of Mandelbrot, Julia, Wassily Kandinsky, and Alphonse Mucha. Soft, warm sunlight filters through the scene, casting gentle shadows and enhancing the ethereal beauty of the colors. The background features delicate, stylized flora and fauna, adding depth and a sense of movement to the composition.
  • Using base image: No
  • Aspect Ratio: landscape
  • Ideogram Style: Auto

Dreamlike Fractal Landscape Journey

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A surreal landscape featuring a vibrant, intricate fractal pattern resembling a large, colorful flower or mandala in the sky. The foreground shows rolling hills covered in lush greenery, with a solitary figure walking along a winding path, set against a soft, ethereal background. The colors are vivid, mixing bright oranges, greens, blues, and purples, creating a dreamlike atmosphere. Amanda Sage, tumblr, psychedelic art, psychedelic fractal art, dmt realm, fractal dreamscape
  • Using base image: No
  • Aspect Ratio: landscape

Celestial Fractals: A Mystical Journey

• Model: Photonic

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Prompt: red hair, Random Fractals. Fireworks Mystical, celestial map, charting constellations , antique-style engraving fractal pattern, pulsating with color, digital art woman and woman x3 collagestar nebulose
  • Using base image: No
  • Aspect Ratio: landscape

Twilight Illusions in a Glowing Forest

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: A bioluminescent forest at twilight, where the aspen trees create a negative space illusion of a hidden face. Utilize a double exposure to superimpose the forest with a fractal pattern that seems to emit light. Employ the Bezold effect, where a single color appears different depending on adjacent colors, to make the forest's bioluminescence pulse and shimmer.
  • Using base image: No
  • Aspect Ratio: square

Fractal Fantasy: The Cute Anime Heroine

• Model: DaVinci2

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: cute anime superheroine in a fractal-pattern costume
  • Using base image: No
  • Aspect Ratio: landscape_wide

Painting with Math

• Model:

• Size: 2236 X 2236 (5.00 MP)

• Used settings:

  • Prompt: Woman immersed in mathematical wonder, thick oil paint texture, scratchy lines, cerulean sky background, eye-level view, woman in jeans and sweatshirt, tree garden setting, valid mathematical formulas, white sparkling text, surreal and ethereal, Fibonacci spiral composition, 3-D effect, tree-filtered soft light, star sparkle on leaf, detailed wood painting, realistic with a touch of fantasy, by a blend of Salvador Dali and René Magritte, Artstation.
  • Using base image: No
  • Aspect Ratio: square

Steel Mesh Analytics

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Use a Houdini algorithm to create a detailed fractal patterned prismatic steel mesh beautiful humanoid female alien, shiny iridescent sheen, full body pose, spacecraft setting
  • Using base image: No
  • Aspect Ratio: square

Cosmic Voyage Through Fractal Realms

• Model:

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: Futuristic spaceship, Intricate fractal pattern, self-repeating sequence, UFO entering and exiting, Lorentzian manifold wormhole, psychedelic colors, surreal geometry, intricate details, mathematical precision, infinite recursion, mind-bending concept, vibrant hues of neon, cosmic exploration, digital art, high resolution, detailed textures, glowing light effects, fantastical voyage, by Escher and Dali, ArtStation.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Abstract Spiral Mandala

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Modern abstract fractal sculpture from clear crystal, transparent Waterford Crystal art https://s.mj.run/EtX68UDzGQA
  • Using base image: No
  • Aspect Ratio: square

Fractal Visions of a Timeless Deity

• Model: FluX

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Self-similar hyperdimensional vedic deity transcending time and space. vedic deity in fractal pattern
  • Using base image: No
  • Aspect Ratio: square

Eerie Horned Skull: Fractal Vision

• Model: FluX

• Size: 2048 X 1536 (3.15 MP)

• Used settings:

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

Radiant Peacock Fractal Symphony

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt:
  • Using base image: No
  • Aspect Ratio: square

Ethereal Cosmic Burst

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: the soul of the universe showing its face in the form of a fractal abstraction against the backdrop of the expanses of the universe
  • Using base image: No
  • Aspect Ratio: square

Ethereal Beauty: Digital Portrait and Fractal Design

• Model:

• Size: 1792 X 1024 (1.84 MP)

• Used settings:

  • Prompt: Shoot a high-contrast black-and-white photograph of the human form, emphasizing natural beauty and sculptural qualities through careful composition and lighting. Yayoi Kusama: Design an installation filled with repetitive patterns and bright colors, exploring themes of infinity and the sublime through immersive environments.
  • Using base image: No
  • Aspect Ratio: landscape

Enchanted Hand: Fractal Floral Fantasy

• Model: Artistic

• Size: 896 X 704 (0.63 MP)

• Used settings:

  • Prompt: Graceful perfect right hand silhouette, shining outline, delicate fingers, elegant pose, female hand, black background, intricate multicolored fractal pattern, glossy and bright lines, unique flower, mystical and magical aura, fairy tale elements, art nouveau style, inspired by James Christensen, Andrew Jones, Alphonse Mucha, high-quality details, digital illustration, enchanting ambiance.
  • Using base image: No
  • Aspect Ratio: landscape

Intricate Spectrum: Depth & Complexity

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt:
  • Using base image: No
  • Aspect Ratio: square

Spectral Spiral: A Vibrant Fractal Symphony

• Model: Artistic

• Size: 768 X 768 (0.59 MP)

• Used settings:

  • Prompt: Insanely detailed fractal, Fibonacci, rule of thirds
  • Using base image: No
  • Aspect Ratio: square