#abstractfractal

Vibrant Fractal Art: Peacock Petals Unfold

• 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 Fractal Geometry

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A digital artwork depicting a complex Terdragon curve fractal Design the fractal features an Gravity Depression center in the style of Matthias Hauser, beveled edges transition between layers The background simulates an cosmic space scene contributing to the mystical atmosphere of the composition, HD-Resolution, Vivid Primary Psychedelic Colors
  • Using base image: No
  • Aspect Ratio: landscape

Julia set-Mandelbrot Fractal Hybrid

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A vibrant Mandelbrot-Apophysis- Julia set fractal design with swirling blue.red,green,yellow burgundy ,black, purple light blue and orange elements, featuring glossy spheres surrounded by intricate liquid colorful plasma patterns. The colors blend seamlessly, creating a sense of depth and movement,Digital Psychedelic Art, HD-Resolution, Psychedelic Aesthetic
  • Using base image: No
  • Aspect Ratio: landscape

|∞<€ µ @||

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: |∞<€ µ @||
  • Using base image: No
  • Aspect Ratio: square

Fractal Sunflower: A 3D Visualization Journey

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: 3D fractal visualization of a hybrid Mandelbulb sunflower: central bulbous core with exact power-16.45877854 triplex iteration z_{k+1} = (r^n * ln(sinh(r + ε sin(ω r))) / ln(sinh(r))) * (sin(nθ + ε sinh(ω θ)) cos(nϕ + ε cosh(ω ϕ)), sin(nθ + ε sinh(ω θ)) sin(nϕ + ε cosh(ω ϕ)), cos(nθ + ε sinh(ω θ))) + c, where n=16.45877854, ε=0.0125, ω=1.618 (golden ratio), r=sqrt(x'^{2\pi} + y'^{2\pi} + z'^{2\pi}), x'=x + ε cos(k x), y'=y + ε sinh(ω y), z'=z + ε cos(k z), k=16.45877854, θ=arccos(z'/r), ϕ=arctan(y'/x'), bailout |z|>4.0, max iter=64; hybrid MB3D slots: 1-Amazing Box (scale=2.0, MinR²=0.25, FixedR²=1.0, arctan-perturbed ϕ), 2-MengerKoch (iter=3, scale=2/3, rotations 0/120/240°, cosh-elongated θ), 3-ABoxModKali (offset=0.5, mod=2π/k, sinh-waved z), 4-_reciprocalZ2 (power=2, damp=0.1, ln(sinh)-damped r); DE raymarch |z| ln|z| / |∂z/∂c| <10^{-6}; Ricci-flat metric ds²=-ln(sinh(t+ε sin(ω t))) dt² + arctan(x+ε cos(k x)) dx² + cosh(y+ε sinh(ω y)) dy² + sinh(z+ε cos(k z)) dz² embedded axis-separably; escape coloring: orange-brown core (iter18-25), yellow-gold petals (10-17), turquoise orbs/blue bg (<10); camera (0.75,0.8,1.25), zoom=4.8, FOV=60° for core close-up, volumetric fog exp(-dist/1.25), specular light (2,3,1) shininess=32; exact Fibonacci 13/21 spirals from irrational rotations, 4K crisp edges. Add metric: ds^{2\pi} = -\ln(\text{sinh}(t + \epsilon \sin(\omega t))) dt^{2\pi} + \tan^{-pi}(x + \epsilon \cos(k x)) dx^{2\pi} + \cosh(y + \epsilon \sinh(\omega y)) dy^{2\pi} + \sinh(z + \epsilon \cos(k z)) dz^{2\pi} .
  • Using base image: No
  • Aspect Ratio: landscape

What was in the soda

• Model: Photonic

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt:
  • Using base image: Yes

Swirling Blue and Orange Fractal Design

• Model: Artistic 2

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: frectal 6
  • Using base image: No
  • Aspect Ratio: landscape_wide

Elegant Woman in Abstract Landscape Art

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Elegant woman against a landscape in style of Wassily Kandinsky. Stunning digital painting. Fantasy masterpiece. Pencil drawing, fractal elements, pointillism, stippling, zentagle, fractal, imperial colors, gold ornate, 5D texture. @Granny2024 No text. No signing. No frame. No logo. No creatures. abstract vector fractal, wave function, Zentangle, 3d shading
  • Using base image: No
  • Aspect Ratio: landscape

Gnome Head: A Surreal Journey Through Time

• Model: AIVision

• Size: 1792 X 1008 (1.81 MP)

• Used settings:

  • Prompt: gnome head skin curling like DNA. Juxtaposed with ancient civilization as scenes inside the gnome head skin, twisting through time, hyperdetailed surreal concept art abstract vector fractal
  • Using base image: No
  • Aspect Ratio: landscape_wide

EbonStar

• Model: FluX

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: An abstract fractal design featuring intricate swirling patterns in shades of black, gold, and silver. The composition should include star-shaped elements set against a backdrop of fluid, organic textures, resembling a mix of cosmic and natural forms. Enhance the depth with layered curves and a glossy finish, giving a sense of movement and complexity within the design.
  • Using base image: No
  • Aspect Ratio: landscape