#fractal

Vortex of Color

• Model: DaVinci2

• Size: 2224 X 1664 (3.70 MP)

• Used settings:

  • Prompt: A vibrant, abstract representation of cosmic nebulae and stardust, swirling in a symphony of color and light. Geometric crystalline structures emerge from the gaseous clouds, pulsating with an internal luminescence. The style blends the intricate detail of fractal art with the bold, expressive strokes of abstract expressionism, creating a sense of otherworldly grandeur and intricate beauty.
  • Using base image: No
  • Aspect Ratio: landscape

Mesmerizing Spiral of Teal and Azure Petals

• Model: DaVinci2

• Size: 1088 X 1088 (1.18 MP)

• Used settings:

  • Prompt: Flower power art. 1920 1080 aspect ratio.Flower power background.
  • Using base image: Yes

Cosmic Fractal Pyramid in Cosmos

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create a Cosmic Sierpiński arrowhead triangle pattern repeated through outer space(Digital Space Fractal Art:1.7) (Vivid Psychedelic Coloring:1.8)
  • Using base image: No
  • Aspect Ratio: landscape

Psychedelic Triangles with Fractals

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: create a amazing Multi-Color Mandelbrot-Newton-Sierpinski triangle Fractal composite masterpiece with a HD deep space background with distant colorful twinkling stars, Digital art, Masterpiece Art, Vivid psychedelic colors
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Landscape with Cosmic Backdrop

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create a Menger sponge-Mandelbrot pattern Multi-Color Fractal made of flowing cosmic debris, crystal simulation high-definition photography, extreme detail, 4k ,with a Ultra High Definition deep space background, Primary Color Aesthetic
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Mandala Fractal Floral Design

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Fractal Mandelbrot-Newton orbital geometry,Kaleidoscope symmetrical, fantastical, psychedelic color palette, HD-Resolution, REd, Yellow, blue, Light Blue, orange, green, silver, black and purple
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Swirls and Reef Textures

• Model: DaVinci2

• Size: 1328 X 896 (1.19 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

Ornate Fractal Crown with Glowing Spheres

• Model: DaVinci2

• Size: 1088 X 1088 (1.18 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 Sierpinski triangle Fractal in Starry Night

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create A Complex Sierpinski Triangle Fractal made of Cosmic star debris in deep space, the fractal is hollow ,red , blue, yellow, green, light blue, orange, black , Silver and purple hues throughout (Optical Illusion art:1.7) , Space Art, Fractal art, Vivid Colors, HD-Resolution
  • Using base image: No
  • Aspect Ratio: landscape

Intricate Black and White Fractal Patterns

• Model: MirageMaker

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Pile of twisting snake skeletons in a fractal pattern
  • Using base image: No
  • Aspect Ratio: landscape

Intricate Coral Fractal in Crystal Sphere

• Model: FluX 2 (Base)

• Size: 2224 X 1664 (3.70 MP)

• Used settings:

  • Prompt: A perfectly refractive glass sphere (IOR 1.5, Fresnel) containing a ray-marched Mandelbulb II with exact parameters: Power = 11.24788742, iterations = 4–5, golden-ratio angular scaling θ×φ, φ×φ where φ = (1+√5)/2, π-normalised hyperbolic macros: chp(x) = (exp(x) + exp(-x)) / π, shp(x) = (exp(x) - exp(-x)) / π, chpp(x) = (exp(x/(cosh(x)·π)) + exp(-x/(cosh(x)/π))) / (τ·φ) with τ = 2π (deliberately non-even), shpp(x) = (exp(x·sinh(x)·π) - exp(-x·sinh(x)·π)) / (τ·φ), ssh(x) = (exp(xπ/0.7887) - exp(-xπ/0.7887)) / (2π), vertical breathing via asinh(iTime×0.2) offsetting the up vector, NORM_OFF exactly 0.09375 (0.125×0.75), sky glow = clamp(0.009375 / abs(cross(rd,ro).y + reflect(ro,rd).z), 0, 1) × pastel cyan, soft peach-coral interior, triple cyan orbital rings, concentric golden ripples, volumetric caustics, chromatic aberration, iridescent rim, 1:1 ratio, ultra-sharp 8k photorealism --ar 1:1 --stylize 0 --v 6 --q 2 --style raw
  • Using base image: No
  • Aspect Ratio: landscape

Fractal Eye in a Glass Sphere Design

• Model: QWEN

• Size: 3312 X 2496 (8.27 MP)

• Used settings:

  • Prompt: masterpiece, hyper-realistic refractive glass sphere floating in deep cyan void, inside the sphere a living Mandelbulb II power-11.24788742 with 4–5 fold iterations, golden-ratio-scaled angles (×φ), π-normalised hyperbolic distance estimator using chp(x)=(e^x + e^-x)/π, shp(x)=(e^x - e^-x)/π and deliberately non-even chpp(x) with asymmetric cosh terms, soft peach-coral interior glow, vertically breathing iris animation via asinh(iTime×0.2), NORM_OFF 0.09375 producing ultra-soft fleshy normals, triple cyan orbital rings, concentric golden hyperbolic wave ripples, volumetric caustics, perfect spherical refraction with Fresnel, dramatic angelic halo generated by sky term clamp(0.009375 / abs(cross(rd,ro).y + reflect(ro,rd).z)) × pastel cyan skyCol, extreme colour fidelity, 8k octane render, ultra sharp, chromatic aberration, iridescent rim light, cinematic depth of field --ar 1:1 --stylize 250 --v 6 --q 2
  • Using base image: No
  • Aspect Ratio: landscape
  • Style/LoRA: AmateurPhoto

Space Horse 3

• Model: Artistic

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A majestic horse gallops through a vibrant cosmic fractal glitched backdrop, surrounded by swirling patterns of stars and fractal glitch designs, blending fiery colors with deep space hues in a fantastical scene full of glitches.
  • Using base image: No
  • Aspect Ratio: landscape

Rainbow Fractal Spiral in Cosmic Space

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create a Tie-dye Mandelbrot Spiral fractal with hyper realistic defined edges, red, yellow, green, blue, light blue,orange, silver , black ,purple and neon pink against a Cosmic Space Background, Fractal Art, Space Art, Vivid Colors, Psychedelic Aesthetic
  • Using base image: No
  • Aspect Ratio: landscape

Jarod Kent Simpson art Richard Allen Boone: The Gunfighter Paladin Where Do You Roam

• Model: Stable

• Size: 1183 X 1775 (2.10 MP)

• Used settings:

  • Prompt: Richard Boone gun fighter, 500 x 500 pixels, glitter bright blue silver red, extremely detailed fractal , fractal gems, fractal crystals, supernatural silver orange pink black yellow green and purple and red glitter, digital oil painting , detailed art illustration, vibrant, cinematic, ornate, luxury, 8K polished in the style of Josephine Wall, Brian Froud,Catherine Abel.
  • Using base image: No
  • Aspect Ratio: portrait

Vibrant Fractal Design in Blue and Orange

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: A highly detailed digital rendering of an abstract, symmetrical fractal structure resembling a surreal, organic face floating against a gradient blue sky background, generated using a modified Mandelbulb fractal algorithm viewed from the inside with ray marching. Incorporate precise mathematical details: Define constants pi = 3.1415926535897932384626433832795, tau = 2*pi, TAU = (2*pi)*0.7887, PHI = (sqrt(5)*0.5 + 0.5) ≈1.618 golden ratio, POWER = 11.24788742 for exponentiation, LOOPS = 3 iterations, TOLERANCE = 0.00001, MAX_RAY_LENGTH = 20.0, MAX_RAY_MARCHES = 48, NORM_OFF = 0.0005, MAX_BOUNCES = 5. Custom hyperbolic functions: chp(x) = (exp(x) + exp(-x))/pi, chpp(x) = (exp(x/(cosh(x)*pi)) + exp(-x/(cosh(x)/pi)))/(TAU*PHI), shp(x) = (exp(x) - exp(-x))/(pi/PHI), shpp(x) = (exp(x*(sinh(x)*pi)) - exp(-x*(sinh(x)*pi)))/(TAU/PHI), ssh(x) = (exp(x*pi/0.7887) - exp(-x*pi/0.7887))/(2*pi), csh(x) = (exp(x*pi/0.7887) + exp(-x*pi/0.7887))/(2*pi), ssh1(x) = sinh(x/pi)*PHI, csh1(x) = cosh(x/pi)*PHI. The Mandelbulb distance estimator mandelBulb(p): Initialize z = chp(p)*p - p, dr=1.0; for i=0 to LOOPS-1, r=length(z), theta=atan(z.x,z.y), phi=asin(z.z/r) + optional time*0.2 for animation; dr = r^(POWER-1) * dr * POWER + 1; r = r^POWER, theta *= POWER/PHI, phi *= POWER/PHI; z = r * vec3(tan(shp(sin(theta)*sin(phi)))*PHI, chp(cos(theta)*sin(phi)), cos(phi)) + p; p = reflect(p,z). Return distance 0.75 * log(r) * r / dr. Overall distance function df(p) = shp(mandelBulb(p/2.0)*2.0) after applying rotation matrix g_rot = rot_x(((1.221*time + pi)/tau)). Render with ray marching from camera at 0.6*vec3(0,2,5) looking at origin, FOV tan(TAU/6), incorporating bounces for reflection (reflect(rd,sn)), refraction (refract(rd,sn,1.0/mat.z or inverse)), fresnel fre=1+dot(rd,sn) squared and mixed 0.1-1.0, diffuse dif=max(dot(ld,sn),0)^2 * (1-mat.x) with ld to light at (0,10,0), material mat=(0.8,0.5,1.05), beer absorption exp(-(st+0.1)* -HSV(0.05,0.95,2.0)). Sky background: Procedural with planes at y=4 and y=-6, box bounds, exponential falloff, colored HSV(0.6,0.86,1.0). Colors: Glow HSV(0.065,0.8,6.0), diffuse HSV(0.6,0.85,1.0), post-processed with ACES tonemapping aces_approx(v) = clamp((v*(2.51v+0.03))/(v*(2.43v+0.59)+0.14),0,1) after *0.6, and sRGB gamma mix(1.055*t^(1/2.4)-0.055,12.92*t,step(t,0.0031308)). The structure features two large spiral-eyed voids as eyes, a curved dark blue mouth-like opening at the bottom, elaborate branching tendrils and crystalline edges with subtle particle specks dissipating at sides, ethereal pinkish-orange glow, edge fresnel effects, hyper-realistic yet fantastical Shadertoy-inspired 3D art in 16:9 aspect ratio with sharp details and no text or artifacts.
  • Using base image: No
  • Aspect Ratio: square

Mesmerizing Swirling Fractal Design

• Model: DaVinci2

• Size: 1200 X 856 (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

Cosmic Fractal Foliage in Vivid Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create multicolor magical Mandelbulb-Julia Set- Sierpiński arrowhead fractals by style Tomasz Alen Kopera, by Earnst Haeckel, by Alex Grey, by Mathias Hauser, on a dark Cosmic space background, Surreal Fractal Art, Vibrant Psychedelic Colors, Beveled Rised Textures HD-REsolution
  • Using base image: No
  • Aspect Ratio: landscape

Winter's Tranquil Bridge Reflection

• Model: Artistic

• Size: 1344 X 768 (1.03 MP)

• Used settings:

  • Prompt: A snow and Ice landscape, fractal bridges and arches. an ice river runs through. Modifiers: highly detailed, digital painting, fantasy intricate photo-realistic, 3D 8K, very attractive, beautiful, award winning, high definition, crisp quality, hdr, fantasy
  • Using base image: Yes

Winter Serenity: A Tranquil Landscape

• Model: Artistic

• Size: 1184 X 864 (1.02 MP)

• Used settings:

  • Prompt: A snow and Ice landscape, fractal bridges and arches. an ice river runs through. Modifiers: highly detailed, digital painting, fantasy intricate photo-realistic, 3D 8K, very attractive, beautiful, award winning, high definition, crisp quality, hdr, fantasy
  • Using base image: Yes