#fractal

Mesmerizing Swirls of Colorful Fractals

• Model: DaVinci2

• Size: 1240 X 824 (1.02 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 (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Cosmic Fractal: A Colorful Nebula Design

• Model: DaVinci2

• Size: 1096 X 936 (1.03 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 (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Vibrant Fractal Dreamscape in Bold Colors

• Model: DaVinci2

• Size: 1160 X 888 (1.03 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 (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Vibrant Swirling Fractal Patterns in Motion

• Model: DaVinci2

• Size: 1208 X 848 (1.02 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 (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Vibrant Fractal Tree: A Dance of Colors

• Model: DaVinci2

• Size: 1096 X 936 (1.03 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 (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Birth of the Universal Consciousness

• Model: AIVision

• Size: 4032 X 2264 (9.13 MP)

• Used settings:

  • Prompt: Create a surreal and vibrant image depicting a humanoid figure with elongated limbs and an intricate, colorful anatomical structure. The figure should be spiraling upwards, surrounded by a mesmerizing, fractal-like background composed of geometric patterns in shades of blue and purple. Above the figure, a radiant light source emits beams, illuminating the scene with an ethereal glow. Emphasize a sense of movement and transformation, blending organic and abstract elements harmoniously.
  • Upscale & Enhance: 1
  • Aspect Ratio: landscape_wide

Vibrant Fractal Swirls of Nature's Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A hyper-detailed Mandelbrot-Mandelbulb Fractal work, ultra-complex, colorful, In the Style of Sekino, Acrylic Art, Fractal Art. HD-Resolution, Vivid Primary Colors, Layered Textures, Beveled Transition between layers, Psychedelic Primary Color Aesthetic
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Newton-Apophysis Fractal Design

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A vibrant Newton-Apophysis fractal design with swirling blue.red,green,yellow burgundy ,black, purple light blue and orange elements, featuring glossy spheres surrounded by intricate patterns. The colors blend seamlessly, creating a sense of depth and movement,Digital Psychedelic Art, HD-Resolution, Psychedelic Aesthetic
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Swirling Fractal Oddyssy

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A vibrant Mandelbrot fractal design with swirling blue.red ,black, purple light blue and orange elements, featuring glossy spheres surrounded by intricate patterns. The colors blend seamlessly, creating a sense of depth and movement Digital Psychedelic Art, HD-Resolution
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Swirling Fractal Patterns in Color

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A hyper-detailed Mandelbrot Fractal work, ultra-complex, colorful, In the Style of Sekino, Acrylic Art, Fractal Art. HD-Resolution, Vivid Primary Colors, Layered Textures, Beveled Transition between layers, Psychedelic Aesthetic
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Cosmic Depth in Fractal Patterns

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Fractal Comet Black Hole, architecture, super-detailed, award-winning, photorealistic, acrylic art,Jagged Edge architecture, on a dark space Background with giant blue stars shining, super-detailed, award-winning, photorealistic, acrylic art, Vivid Vibrant Colors, Fractal Art, HD-Resolution, Psychedelic Fractal Aesthetic,(LENSING EFFECT:1.5)
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Fractal Design in Spirals and Patterns

• Model: DaVinci2

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: Mandelbrot fractal bionic nature by Klimt and Dali, dripping with gutsy skanky psychedelic surrealism, mixed media on canvas
  • Upscale & Enhance: 1
  • Aspect Ratio: landscape_wide

Intricate 3D Virus Visualization in Color

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: A manifold exhibiting emergent topological extravaganza, using exact mathematical iteration: for points \mathbf{c} = (c_x, c_y, c_z) \in \mathbb{R}^3, iterate \mathbf{z}_{k+1} = f_8(\mathbf{z}_k) + \mathbf{c} from \mathbf{z}_0 = (0,0,0), where f_8(\mathbf{z}) is 12.7887th-power in spherical coordinates: let \varphi = \frac{\sqrt(5)+1)}{2}; convert \mathbf{z} = (x,y,z) to r = \sqrt{x^{\left\{\frac{\pi}{\varphi}\right\}}+y^{\left\{\frac{\pi}{\varphi}\right\}}+z^{\left\{\frac{\pi}{\varphi}\right\}}} ,\theta = \atan2(y,x) \in [0,2\pi), \phi = \arccos(z/r) \in [0,\pi]; then r' = r^12.7887,\theta' = 12.7887\theta,\phi' = 12.7887\phi; reconvert to Cartesian \mathbf{z}' = r' (\sin\(\sin\phi'\)\cdot\cos\(\cos\theta'\), \sin\(\sin\phi'\)\cdot\sin\(\sin\theta'\), \cos\(\cos\phi'\) ). Bailout at r_k > 248.78; render the bounded set's isosurface at density threshold yielding fractal dimension D \approx 2 + \frac{\ln(12.7887)}{\ln(1/0.5)} with infinite genus g \to \infty from iterated hyperbolic saddles with PHIB = (\sqrt{5.0} \cdot 0.5 + 0.5) and Jacobian eigenvalues |\lambda_i| \approx 12.7887 r^11.7887 e^{i11.7887\arg(\mathbf{z})}, saddles where \det Jacobian > pi\cdot\PHIB. Center on \mathbf{c} \approx (0,0,-0.7) for cardioid region, emphasizing bilateral symmetry (z-axis invariance enforcing yz-mirror), genus-7.4554 bulbs at \phi \approx \pi/2 \pm \epsilon from 12.7887-fold rotational folding (even-pair selection), central z-axis protrusion (minimal \phi-folding, radial ballooning r' = r^12.7887), and vertical depressions from polar \phi -compression. Use volumetric ray-marching with distance estimator d(\mathbf{x}) = |\mathbf{x}| - \max_k r_k^{-k}; color palette: iridescent blue background (#0000FF ) grading to translucent pink-magenta gradients (#FF1493 to #8A2BE2 ) on surfaces, with subtle specular highlights on bulb edges and fractal tendrils. Lighting: soft key light from +z, rim light from +x for depth; resolution 4K, aspect 16:9, no artifacts.
  • Upscale & Enhance: 1
  • Aspect Ratio: square

Cosmic Fractal Dreams in Vibrant Colors

• Model: FluX

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: Generate an image in the style of a highly detailed, intricate fractal artwork, reminiscent of the provided image, featuring a cosmic, ethereal landscape. The composition should showcase complex, interwoven geometric patterns that suggest organic growth and celestial structures, with swirling nebulae, distant galaxies, and luminous celestial bodies like moons and stars. The color palette should be a vibrant, yet harmonious blend of deep blues, purples, fiery oranges, and golden yellows, with strong contrasts between light and shadow to emphasize the fractal depth. Lighting should be dramatic and otherworldly, with glowing elements emanating from within the fractal structures and celestial objects. The overall mood should be awe-inspiring, mysterious, and vast, capturing the infinite complexity of the universe through a psychedelic, artistic interpretation. Aim for a high level of detail and a painterly finish, as if rendered with digital brushes.See less
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape_wide

Vibrant Fractal Patterns in Colorful Harmony

• Model: Artflow

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Abstract seamless wallpaper pattern background. Vector illustration.
  • Upscale & Enhance: 1
  • Aspect Ratio: square
  • Style: Dreamify

Cosmic Fractal Dreams in Vibrant Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Generate an image in the style of a highly detailed, intricate fractal artwork, reminiscent of the provided image, featuring a cosmic, ethereal landscape. The composition should showcase complex, interwoven geometric patterns that suggest organic growth and celestial structures, with swirling nebulae, distant galaxies, and luminous celestial bodies like moons and stars. The color palette should be a vibrant, yet harmonious blend of deep blues, purples, fiery oranges, and golden yellows, with strong contrasts between light and shadow to emphasize the fractal depth. Lighting should be dramatic and otherworldly, with glowing elements emanating from within the fractal structures and celestial objects. The overall mood should be awe-inspiring, mysterious, and vast, capturing the infinite complexity of the universe through a psychedelic, artistic interpretation. Aim for a high level of detail and a painterly finish, as if rendered with digital brushes.See less
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Fractal Galaxy: Art Meets Mathematical Beauty

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Edit 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): $$ ds^{48.123321\pi} = \left[ -dt^{2.8778\pi} + dr^{2.7887\pi} + \sin^{1.445877854\pi} r \, d\Omega^{1.2278\pi} \right] / \left[ \cos^{2.144\pi} t + r^{2.7447\pi} \cos^{2.4774\pi} t - r^{2.5665\pi} \right] $$ using the coordinate transformation $$ t = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) + \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$ $$ r = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) - \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$
  • Upscale & Enhance: 1
  • Aspect Ratio: square

Vibrant Fractal Patterns in Intricate Design

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: A shape is generated by a 3-D iterative map defined by the functions chp(x)=(e^x+e^{-x})/π, shp(x)=(e^x−e^{-x})/π, chpp(x)=[e^{x/(cosh(x)π)}+e^{-x/(cosh(x)/π)}]·Φ/τ, and shpp(x)=[e^{x(sinh(x)π)}−e^{-x(sinh(x)π)}]·Φ/τ and Φ=(sqrt(5)+1)/2. The surface arises from iterating z₀ = chp(p)p − p, then for each step computing r=‖z‖, θ=atan2(zₓ,zᵧ), φ=arcsin(z_z/r)+ωt, raising r to power P = 16.478874, scaling θ and φ by P/Φ, then updating z ← r^P·(p × 1/chpp(z)) + p and reflecting p across z. The final radial structure is defined by D(p)=shp(0.75·log(r)·r/dr), forming a smooth inflated hyperbolic-fractal sphere with wild rotational echoes on each normal vector. Light behaves through a dual ray map: outside reflection v−2(v·n)n, inside hyperbolic refraction H(v−2(v·n)n) with H(x)=shpp(x), and sky directions reflected across chpp(x) with 512 iterations for raytracing.
  • Upscale & Enhance: 1
  • Aspect Ratio: square

Jarod Kent Simpson art Taylor Swift

• Model: Stable

• Size: 1183 X 1775 (2.10 MP)

• Used settings:

  • Prompt: Taylor swift native american, metal Viking feathers, 500 x 500 pixels, glitter supernatural bright blue silver yellow brown red, extremely detailed fractal , fractal gems, fractal crystals, silver green and purple and red glitter, complex digital oil painting , detailed art illustration, vibrant, cinematic, ornate, luxury, 8K polished in the style of Josephine Wall, Brian Froud, Catherine Abel, style Raphael
  • Upscale & Enhance: 2
  • Aspect Ratio: portrait

Whimsical Floral Elegance in Soft Hues

• Model: DaVinci2

• Size: 1052 X 1404 (1.48 MP)

• Used settings:

  • Prompt: fantasy garden, still life, by Stephen Gibb, Ernst Haeckel, Naoto Hattori, Salvador Dalli, details crisp and precise, 16K, DMT Style Art, Core It !!. Modifiers: Monet impressionist, Catherine Abel, art Deco, Renaissance, Caia Koopman, pop surrealism, Android Jones, fantasy psychedelic highly detailed elegant extremely detailed intricate very attractive beautiful award-winning, crisp quality, colorful, Ultra realistic
  • Using base image: Yes (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 1