#fractal

Vivid Swirling Fractal Design on Dark Canvas

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create a Universe made of plasma Mandelbrot and Julia set Fractals ,Red, Blue, green,orange, light blue, yellow, purple , Silver, Gold and black ,Space Art , Fractal Art , LSD Art, Psychedelic Aesthetic , HD-Resolution In The Style of Mathias Hauser(Optical Illusion:1.7)
  • Using base image: No
  • Aspect Ratio: landscape

Fractal Psychedelic Dream

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create a Space Corridor made of Mandelbrot Fractal organic Matter,Red, Blue, green,orange, light blue, yellow, purple and green connecting two alternate universes, Space Art , Fractal Art , LSD Art, Psychedelic Aesthetic , HD-Resolution In The Style of Salvador DAhli
  • Using base image: No
  • Aspect Ratio: landscape

Mesmerizing Vibrant Fractal Patterns

• Model: AIVision

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: deeply embossed lacy edges Insanely detailed fractal spiral, Fibonacci, rule of thirds sharp edges mandelbrot fractal made entirely of roses,green red blue bold colors
  • Using base image: No
  • Aspect Ratio: square

Fractal Harmony: Art Meets Mathematical Beauty

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: > *Create a high-detail rendering inspired by the following exact mathematics. Do NOT simplify, rewrite, or omit any math. Treat all formulas, constants, and macros as aesthetic descriptors of the structure, curvature, growth rules, and lighting.* > > **Use all the following math exactly as written as the descriptive blueprint for the shapes, surfaces, distortions, rotations, color rules, and ray-marching behavior:** > > ``` > #define pi 3.1415926535897932384626433832795 > #define tau (2.*pi) > #define chp(x) (exp(x)+exp(-x))/pi > #define chpp(x) (exp(x/(cosh(x)*pi))+exp(-x/(cosh(x)/pi)))/tau*PHI > #define shp(x) (exp(x)-exp(-x))/pi > #define shpp(x) (exp(x*(sinh(x)*pi))-exp(-x*(sinh(x)*pi)))/tau*PHI > #define ssh(x) (exp(x*pi/.7887)-exp(-x*pi/.7887))/(2.*pi) > #define csh(x) (exp(x*pi/.7887)+exp(-x*pi/.7887))/(2.*pi) > #define ssh1(x) sinh(x/pi)/PHI > #define csh1(x) cosh(x/pi)/PHI > > const float POWER = 11.24788742; > const float TAU = (2.0*pi)*.7887; > const float PHI = (sqrt(5.0)*0.5 + 0.5); > > mat3 g_rot = mat3(1.0); > g_rot += outerProduct(ro, rd); > > float mandelBulb(vec3 p) { > float power = POWER; > vec3 z = chp(p)*p - p; > float dr = 1.0; > for(int i = 0; i < LOOPS; ++i) { > float r = length(z); > float theta = atan(z.x, z.y); > float phi = asin(z.z / r) + TIME*0.2; > dr = pow(r, power - 1.0) * dr * power + 1.0; > r = pow(r, power); > theta = theta * power/PHI; > 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 0.75 * (log(length(z))) * length(z) / dr; > } > > float df(vec3 p) { > p *= transpose(inverse(g_rot)); > const float z1 = 2.0; > return shp(mandelBulb(p/z1)*z1); > } > > rd = normalize(-p.x*uu + p.y*vv + tan(TAU/6.)*ww); > g_rot += outerProduct(ro, rd); > ```
  • Using base image: No
  • Aspect Ratio: square

Fractal Harmony: Art Meets Mathematics

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: > *Create a high-detail rendering inspired by the following exact mathematics. Do NOT simplify, rewrite, or omit any math. Treat all formulas, constants, and macros as aesthetic descriptors of the structure, curvature, growth rules, and lighting.* > > **Use all the following math exactly as written as the descriptive blueprint for the shapes, surfaces, distortions, rotations, color rules, and ray-marching behavior:** > > ``` > #define pi 3.1415926535897932384626433832795 > #define tau (2.*pi) > #define chp(x) (exp(x)+exp(-x))/pi > #define chpp(x) (exp(x/(cosh(x)*pi))+exp(-x/(cosh(x)/pi)))/tau*PHI > #define shp(x) (exp(x)-exp(-x))/pi > #define shpp(x) (exp(x*(sinh(x)*pi))-exp(-x*(sinh(x)*pi)))/tau*PHI > #define ssh(x) (exp(x*pi/.7887)-exp(-x*pi/.7887))/(2.*pi) > #define csh(x) (exp(x*pi/.7887)+exp(-x*pi/.7887))/(2.*pi) > #define ssh1(x) sinh(x/pi)/PHI > #define csh1(x) cosh(x/pi)/PHI > > const float POWER = 11.24788742; > const float TAU = (2.0*pi)*.7887; > const float PHI = (sqrt(5.0)*0.5 + 0.5); > > mat3 g_rot = mat3(1.0); > g_rot += outerProduct(ro, rd); > > float mandelBulb(vec3 p) { > float power = POWER; > vec3 z = chp(p)*p - p; > float dr = 1.0; > for(int i = 0; i < LOOPS; ++i) { > float r = length(z); > float theta = atan(z.x, z.y); > float phi = asin(z.z / r) + TIME*0.2; > dr = pow(r, power - 1.0) * dr * power + 1.0; > r = pow(r, power); > theta = theta * power/PHI; > 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 0.75 * (log(length(z))) * length(z) / dr; > } > > float df(vec3 p) { > p *= transpose(inverse(g_rot)); > const float z1 = 2.0; > return shp(mandelBulb(p/z1)*z1); > } > > rd = normalize(-p.x*uu + p.y*vv + tan(TAU/6.)*ww); > g_rot += outerProduct(ro, rd); > ```
  • Using base image: No
  • Aspect Ratio: square

Floral Fractal Star

• Model: DaVinci2

• Size: 3328 X 2480 (8.25 MP)

• Used settings:

  • Prompt: A digital artwork depicting a complex Multi Color Quadric cross -Mandelbrot sharp edge fractal, the fractal in the style of Matthias Hauser features an Gravity Depression center , beveled edges transition between layers The background simulates an deep space scene contributing to the mystical atmosphere of the composition, Digital Space Art,HD-Resolution, Vivid Primary Psychedelic Colors, LSD Art
  • Using base image: Yes

Mesmerizing Vibrant Fractal Pattern In Space

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A digital artwork depicting a complex Multi Color Quadric cross -Mandelbrot sharp edge fractal, the fractal in the style of Matthias Hauser features an Gravity Depression center , beveled edges transition between layers The background simulates an deep space scene contributing to the mystical atmosphere of the composition, Digital Space Art,HD-Resolution, Vivid Primary Psychedelic Colors, LSD Art
  • Using base image: No
  • Aspect Ratio: landscape

Deep Space Vibrant Swirling Fractal Patterns in Color

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A digital artwork depicting a complex cluster of Bio Luminescent Multi Color Boundary of the Mandelbrot set fractals the fractal in the style of Matthias Hauser features an Gravity Depression center , beveled edges transition between layers The background simulates an deep space scene contributing to the mystical atmosphere of the composition, Digital Space Art,HD-Resolution, Vivid Primary Psychedelic Colors
  • Using base image: No
  • Aspect Ratio: landscape

Cosmic Swirls: A Fractal Journey

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A digital artwork depicting a complex Mandelbrot/Mandelbulb fractal The fractal features an ornate center , The background simulates an alternate dark Universe, contributing to the mystical atmosphere of the composition, HD-Resolution, Vivid Primary Psychedelic Colors
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Patterns in Bold Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A hyper-detailed Computer-generated Mandelbrot set- Sierpinski Triangle Fractal, ultra-complex, colorful, In the Style of Matthias Hauser , Fractal Art , HD-Resolution, Vivid Primary Colors, Layered Textures, Beveled Transition between layers, Psychedelic Primary Color Aesthetic
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Landscape in Cosmic Colors

• Model: AIVision

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: A hyper-detailed, surreal 3D GLSL-shader-inspired visualization with SU(3) and infinite 16D orthogonal light rays piercing compressing into acute angles via atan polar twists, staring in awe at a tachyon condensation cascade on a non-BPS D-brane with m²=-1/α' rolling down inverted Mexican-hat V(φ)=(μ²/2)φ²+(λ/4)φ⁴ driving exponential φ(t)e^{μ t} to stable φ=±√(μ²/λ) breaking symmetry and generating Goldstone masses via level truncation to level 40 yielding m²=-0.904±0.002, gleamingly spreading radiant golden light like a gluon saturation front in CGC with Q_sx^{-λ/2} blobs merging from BK evolution ∂S/∂Y = (ᾱ_s/2π) ∫ [S(r') + S(r-r') - 2S(r)], surrounded by bubbling flavor-colored orbiting like PDFs f_q(x,Q²) in a proton cluster with DGLAP branching P_{qq}(z)=C_F(1+z²)/(1-z) fork ratios z=x/x' visualized as fractal trees, BFKL ladder rungs twisting as alchemical wall symbols with kernel K(k_a,l)=k_a²/[l²(k_a-l)²][l²+(k_a-l)²-2 k_a² l·(k_a-l)/k_a²] forking transverse convolutions and χ(γ)=2ψ(1)-ψ(γ)-ψ(1-γ) saddle at γ=1/2 with χ(1/2)=4ln2≈2.772 driving pomeron Δ=ᾱ_s χ(1/2) growth diffused by χ''(1/2)=-14ζ(3)≈-16.8 Gaussian spreads, running α_s(Q²)=12π/[(11N_c-2n_f)β_0 ln(Q²/Λ_QCD²)] fade from fiery red confinement haze to cool blue asymptotic freedom in background nebula; embed YM/CS 7D KK QFT tachyon fury with action S=∫(1/2π)[∑(∂_i z V_i(φ,H_i(φ))+∑ y_j j(φ_j,φ_j+φ_s)] + (t_0 r k(i-J=φ(0)) )² + e j |B(b,μ_b)| + e r H, orbiting φ_knot j φ_knot i / B(b,μ_b), fractal wavy spirals from SD Chern-Simons S_CS=(n/8π)∫ Tr(F∧F) with F=dA+A∧A merging to 3D massive h_m n e^{i k r} waves in AdS/CFT, higher-form shifts A(B²)-B→AC>G with ds=dα+QG+AF dB, G=dC-σ G_r(φ B +2 G r H), S=∫[L φ (B φ G)+χ φ (B_m s)] Poincare d* Ω + T dB, fluxes W(Σ)=Tr Pes[(2π i)^n C_n] bordisms+Donaldson-Witten configs in AdS_7/CFTs icons φ vev dG=0 [5/6, α<S f], Σ e ^ X_j ^ Z_j=links flux knots tach nima brane vacua S J < Im Ω ^ c V Ω ^ c → Ω ^ c ⇒ inflation via wavy dims, all color-coded (tachyon roll golden waves, brane decay vanishing vortices, symmetry break iridescent facets from nonlinear swirls, quark flavors' orbs, gluons spokes, protons clusters, photons probes), interconnected in non-perturbative to stable vacuum crossover web with wavy loop resummations, dynamic exponential decay flows ln Q² ascending spirals, phase spaces conical sprays multi-jet events, cross-sections σ~α_s^n / Q^{2n-4} fades perturbative validity high energies, high-energy QCD/string phenomenology, equation-free textless graphical masterpiece with GLSL procedural sphere(vec2 uv)={rad=uv*vec2(τ,π); sin(rad.x-vec2(0,τ/4))*sin(rad.y), cos(rad.y)} normals nor=df(pos±eps) rot_z(atan(pos.y,z)) outerProduct(nor,sp) cross(x,rd) for wavy 16D projections. Apply 64.24788742\nabla\times\mathbf{F} on the exterior contravariant derivative of the tensor product of the tangent bundle of the orbifold over the cotangent bundle of the conifold !
  • Using base image: No
  • Aspect Ratio: square

Vibrant Fractal Spirals in Colorful Harmony

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: caverne, plantes luxuriantes, oiseaux
  • Using base image: No
  • Aspect Ratio: landscape_wide

Vibrant Heart Mandala with Floral Center

• Model: Artistic

• Size: 1752 X 1320 (2.31 MP)

• Used settings:

  • Prompt: beautiful ice flowers, Gorgeous amazing watercolor patchwork, Kandinsky dot line drawing, highly detailed, exquisitely intricate, beautiful, clear, high quality, colorful, sunset, fantastic - Daniel Merriam, Iwona Lifsches, Alex Alemany,
  • Using base image: Yes

Vibrant Fractal Swirls in Colorful Harmony

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

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

Skeletal Rose: An Abstract 3D Journey

• Model: Photonic

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

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

Mask of Mystery

• Model: Realismo

• Size: 1200 X 1600 (1.92 MP)

• Used settings:

  • Prompt: Mask
  • Using base image: No
  • Aspect Ratio: portrait

Fractal Caterpillars in a Rainbow Spiral

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Fractal caterpillars fractal zig zagging in a metallic rainbow spiraling into a butterfly matrix
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Spiral in Bold Colors

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: #define pi 3.1415926535897932384626433832795 #define tau (2.*pi) 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 shpp(x) = (exp(x*(sinh(x)*pi))-exp(-x*(sinh(x)*pi)))/tau*PHI ssh(x) = (exp(x*pi/.7887)-exp(-x*pi/.7887))/(2.*pi) csh(x) = (exp(x*pi/.7887)+exp(-x*pi/.7887))/(2.*pi) ssh1(x) = sinh(x/pi)/PHI csh1(x) = cosh(x/pi)/PHI (((ray-marched SDF of a heavily broken golden-ratio exact power 11.24788742, 512 iterations, escape radius 2.0, golden-ratio angular multiplier 1/φ ≈ 0.6180339887498948 applied to both θ and φ (θ × power/φ, φ × power/φ), deliberately malformed spherical→cartesian using the original hyperbolic garbage terms 1/(shpp(theta)+chpp(phi)), chp(cos(theta)*sin(phi)), cos(phi) and per-iteration reflect(p,z), derivative dr = pow(r,power-1)*power*dr + 1.0, final DE 0.75*r*log(r)/dr, ray marching tolerance 1e-5, max 48 steps, max ray length 120.0, up to 9 refractive bounces IOR 1.62 (reverse ≈0.617), full Schlick Fresnel, volumetric Beer-Lambert -HSV(0.05,0.95,2.0), outer refractive cyan-white glass shell HSV(0.6,0.86,1.0), inner molten red-orange emissive plasma core HSV(0.065,0.8,6.0), slow eternal rotation via polar offset φ += asinh(iTime)*0.2, camera at (0,2,5) looking at origin, 60° FoV, deep navy-to-cyan gradient background exactly matching smoothstep(0.,12.,0.25/abs(rd.x*rd.y))*HSV(0.6,0.86,1.0) with extra rd.x-=0.2, rd.y-=0.1 tilt, ACES Filmic + sRGB, pure SDF raymarched demoscene aesthetic, ultra-sharp internal caustics, liquid-metal reflections, glassy dielectric shell with subtle surface turbulence, zero symmetry, preserve every single mathematical bug and hyperbolic macro exactly as in the original shader,))+++ ---((symmetrical, classic power-8 Mandelbulb, quaternion Julia, bubbles, spheres, matte surface, flat lighting, polygons, normal maps, 3D render artifacts, text, watermark, realistic, photograph))---
  • Using base image: No
  • Aspect Ratio: square

Vibrant Fractal Design with Dynamic Swirls

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A hyper-detailed Newton-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
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Fractal Swirls in Cosmic Colors

• Model: DaVinci2

• Size: 1016 X 1016 (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