#fractal

Spherical Fractal Design with Aqua Glow

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Render me: A high-resolution, photorealistic 3D unreal image of a levitating floating glowing silver-mercury soft-aqua Mandelbulber fractal precisions of mercury-silver floating in the air sphere exhibiting floating and emergent cloaking topological precise anthropomorphism, 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 8th-power in spherical coordinates: Convert \mathbf{z} = (x,y,z) to r = \sqrt{x^2+y^2+z^2} , \theta = \atan2(y,x) \in [0,2\pi), \phi = \arccos(z/r) \in [0,\pi] ; then r' = r^8, \theta' = 8\theta , \phi' = 8\phi ; reconvert to Cartesian \mathbf{z}' = r' (\sin\phi' \cos\theta', \sin\phi' \sin\theta', \cos\phi'). Bailout at r_k > 24.78 ; render the bounded set's isosurface at density threshold yielding fractal dimension D \approx 2 + \frac{\ln 8}{\ln(1/0.5)} \approx 2.3\pi , with infinite genus g \to \infty from iterated hyperbolic saddles (Jacobian eigenvalues |\lambda_i| \approx 8 r^7 e^{i7\arg(\mathbf{z})} , saddles where \det J \approx 0+1.618\pi ). Center on \mathbf{c} \approx (0,0,-0.7) for cardioid region, emphasizing quadrilateral bilateral symmetry (z-axis invariance enforcing yz-mirror), two equatorial eye-like genus-1 bulbs at \phi \approx \pi/2 \pm \epsilon from 8-fold rotational folding (even-pair selection), central z-axis nose-protrusion (minimal \phi -folding, radial ballooning r' = r^8 ), and vertical mouth-slot 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\#0000FF\#0000FF ) grading to translucent pink-magenta gradients (#CF1493\#DF1493\#EF1493 to #AA2BE2\#BA2BE2\#CA2BE2 ) 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: 0
  • Aspect Ratio: landscape

Vibrant Fractal Flower in Golden and Purple

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A highly detailed, photorealistic 3D rendering of a complex radial fractal structure resembling a flower-like Mandelbulb variant with intricate, self-similar petal layers and wavy undulating edges, generated using iterative mathematical transformations in a raymarching shader; the fractal is defined by constants TAU exactly equal to (2.0 * π) * 0.7887 ≈ 4.955 radians for angular periodicity scaling to create asymmetric twisted repetitions instead of full 2π symmetry, controlling approximately 12-16 fold radial petals; POWER exactly 11.24788742 + TAU ≈ 16.203 for amplifying self-similarity through r^POWER scaling in spherical coordinates during iterations; core vector update z = r * vec3(sin(sin(θ)cos(φ) + sin(θ)sin(φ) + cos(φ)), cos(sin(θ)cos(φ) + cos(θ)cos(φ) + cos(θ)), cos(θ)cos(φ)) + p, where p is the 3D position vector, r = ||p|| its magnitude, θ = atan(p.y, p.x) azimuthal angle, φ = acos(p.z/r) polar angle; incorporating nonlinear warping via trig sums like expr1 = sin(θ)(cos(φ) + sin(φ)) + cos(φ) = sin(θ) * √2 * sin(φ + π/4) + cos(φ) and expr2 = cos(φ) * √2 * sin(θ + π/4) + cos(θ) for phase-shifted higher harmonics introducing bulges and mixing between angles; followed by p = shp(reflect(p, z)) where reflect(p, z) = p - 2 * (p · ẑ) * ẑ with ẑ = z / ||z|| for mirror symmetries creating sharp creases; shp #define shp(x) (exp(x)-exp(-x))/pi assumed as absolute folding abs(p) or clamping for bounding and discontinuities; r updated to ||z|| per iteration, looping 8-20 times with escape radius or distance estimate DE(p) ≈ 0.5 * log(r) * r / ||dr/dp|| for rendering; visualize the fractal in vibrant metallic gradients of blue, purple, and gold with orbit trap coloring, floating in a dark void with soft volumetric lighting and depth of field, high resolution 4K, ultra-detailed textures emphasizing mathematical precision and geometric warping.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Fractal Design with Dynamic Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A highly detailed, abstract 3D 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.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Mesmerizing Fractal Patterns in Cream and Green

• Model: Ideogram

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt:
  • Upscale & Enhance: 1
  • Aspect Ratio: square
  • Ideogram Style: Auto

Vibrant Fractal Design with Glossy Spheres

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Generate a highly detailed, abstract 3D 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., 16), 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 \(DE(\mathbf{q}) = 0.75 \cdot \frac{\log r \cdot r}{dr}\), 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.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Fractal Elegance: Nature's Artistic Dance

• Model: Artflow

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: ((A masterpiece of unparalleled excellence)), "Swirling Green and Gold Fractal Elegance" is more than an image—it is an invitation into a world where art and mathematics coalesce, where complexity gives birth to harmony, where the beauty of nature is distilled into spirals and curves. In its intricate patterns and luminous palette, we find echoes of the forests, the sunlight, the very forces that shape life itself. To contemplate this design is to be drawn into its depths, to wander its golden pathways and green hollows, to lose oneself in the endless dance of pattern and possibility. It stands as a testament to the enduring allure of fractals and the limitless potential of creative expression. fluid multi-point perspective. The entire composition radiates on an astonishing scale, as if the canvas itself breathes. Ethereal forms shimmer in translucent watercolor vitrail, refracting light like stained glass kissed by sunrise—unreal, luminous, divine. The scene is born of surreal imagination, teeming with elusive imagery that pirouettes at the fringe of waking consciousness. Emotive and enigmatic, the construction is intricate: whimsical yet deliberate, resonant with mythic wonder and psychological depth. Each brushstroke is infused with the artistic DNA of Salvador Dalí's surrealism, Wangechi Mutu's visionary hybridity, Alexander Jansson’s whimsical fantasy, Peter Max’s vibrant psychedelia, and Erin Hanson’s bold, impressionistic hues. Crafted in ultra-high fidelity at 32K resolution, this visual symphony is a portal to an otherworldly reverie))), ((As if created by H.R. Giger, Hajime Sorayama, Hayao Miyazaki, Katsuhiro Otomo, Tomasz Setowski. Full size image)).
  • Upscale & Enhance: 1
  • Aspect Ratio: landscape_wide
  • Style: Dreamify

Golden Whispers of Autumn Symphony

• Model: Artflow

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Surreal swirling fractal made of golden and translucent amber flowers. In the background is a very blurred ethereal woman figure, barely visible.This piece presents an iridescent blend of pale watercolors, elegantly painted on luxurious silk. Incorporating ink splatters and gouache in the style of Japanese Mokuhanga art, it successfully evokes the early morning chill with the wind gently playing among the leaves, creating an Autumn Symphony. The artwork utilizes a beautiful palette of pastels complemented by a gold leaf effect and subtle sparkles, adding depth and richness. Its ultra-detailed yet minimalist approach embodies an impressionist style, showcasing exquisite aquarelle techniques that enhance the water effects. Overall, this masterpiece shines with a gorgeous golden light, making it a captivating visual experience.
  • Upscale & Enhance: 0
  • Aspect Ratio: square
  • Style: Dreamify

Golden Fractal Symphony in Watercolor Elegance

• Model: AIVision

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Surreal swirling fractal made of golden and translucent amber flowers. In the background is a very blurred ethereal woman figure, barely visible.This piece presents an iridescent blend of pale watercolors, elegantly painted on luxurious silk. Incorporating ink splatters and gouache in the style of Japanese Mokuhanga art, it successfully evokes the early morning chill with the wind gently playing among the leaves, creating an Autumn Symphony. The artwork utilizes a beautiful palette of pastels complemented by a gold leaf effect and subtle sparkles, adding depth and richness. Its ultra-detailed yet minimalist approach embodies an impressionist style, showcasing exquisite aquarelle techniques that enhance the water effects. Overall, this masterpiece shines with a gorgeous golden light, making it a captivating visual experience.
  • Upscale & Enhance: 0
  • Aspect Ratio: square

Autumn Symphony in Golden Watercolors

• Model: DaVinci2

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Surreal swirling fractal made of golden and translucent amber flowers. In the background is a very blurred ethereal woman figure, barely visible.This piece presents an iridescent blend of pale watercolors, elegantly painted on luxurious silk. Incorporating ink splatters and gouache in the style of Japanese Mokuhanga art, it successfully evokes the early morning chill with the wind gently playing among the leaves, creating an Autumn Symphony. The artwork utilizes a beautiful palette of pastels complemented by a gold leaf effect and subtle sparkles, adding depth and richness. Its ultra-detailed yet minimalist approach embodies an impressionist style, showcasing exquisite aquarelle techniques that enhance the water effects. Overall, this masterpiece shines with a gorgeous golden light, making it a captivating visual experience.
  • Upscale & Enhance: 0
  • Aspect Ratio: square

Fractal * Lifeforms

• Model: FluX

• Size: 1728 X 1296 (2.24 MP)

• Used settings:

  • Prompt: Make a surreal fractal awesome Artwork of my whole Images in Multilayer Rendering and High Definition with much Love !
  • Upscale & Enhance: 1
  • Aspect Ratio: landscape

Jarod Kent Simpson art Dustin Clare: Gannicus God Of The Arena

• Model: Stable

• Size: 1285 X 1635 (2.10 MP)

• Used settings:

  • Prompt: Dustin Clare gladiator 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, style of Rembrandt
  • Upscale & Enhance: 2
  • Aspect Ratio: portrait

Vibrant Fantasy Landscape in Op Art Style

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: (A masterpiece of unparalleled excellence), (("When is a door not a door". Abstract expressive landscape Op art, trippy fractal Modifiers: high definition Tim Burton Nicoletta Ceccoli intricately detailed , Side View, Ultra detailed, High quality rendering, Colorful complex stipple texture)), Inspired by the style illustrations of Arthur Rackham, Friedensreich Hundertwasser, Joan Miró, Edward Gorey and Tomasz Setowski. (Full Size image).
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

A Fractal Journey Into Deep Space

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: 3d fractal Mandelbrot fractal made of cosmic dust and rock, bioluminence, double exposure effect, moving through space, long exposure effect, blurry ghosting effect, with a dark space background with scattered Stars, Digital Art, Vivid Colors HDR, Multi-Colored Hues
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Fractal Patterns in Colorful Depth

• Model: AIVision

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: a chirality of molecular structures exhibiting quantum shaped like entanglement with trypophobia-inducing holes.symmetry;bold colors Diorama art ,Gothic style
  • Upscale & Enhance: 0
  • Aspect Ratio: square

Surreal Fractal Flora in Dreamlike Hues

• Model: Animatron

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: Artist Jean-Baptiste Monge style. Bizarre pale-blue-pale-orange fractal-filigree giant fluffy plants beyond Reality.
  • Upscale & Enhance: 1
  • Aspect Ratio: landscape_wide

Vibrant Fractal Bloom on Black Canvas

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: What ordinary life would look like if everything was a fractal.Neon on black backdrop
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Vibrant Fractal Flower Patterns Unveiled

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: What ordinary life would look like if everything was a fractal.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Intricate Fractal Flower Design in Soft Hues

• Model: DaVinci2

• Size: 904 X 1128 (1.02 MP)

• Used settings:

  • Prompt: this digital art piece is
  • Using base image: Yes (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 0

Surreal Fluffy Plants Beyond Reality

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Artist Rodney Matthews style. Bizarre fluffy pale-yellow-pale-orange-pale-mauve fractal-filigree giant fluffy plants beyond Reality.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape

Journey Through Cosmic Wonders

• Model: Artistic

• Size: 1604 X 1247 (2.00 MP)

• Used settings:

  • Prompt: invasion of surreal alien spaceships in the Orion Nebula, impressive.
  • Using base image: Yes (Effect strength - 60%)
  • Base image resolution: Default
  • Upscale & Enhance: 2