#intricatepatternsabstract

Cosmic Beauty in Vibrant Fractal Swirls

• Model: DaVinci2

• Size: 984 X 1040 (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

Mystical Abstract Face in Vibrant Hues

• Model: DaVinci2

• Size: 1728 X 1296 (2.24 MP)

• Used settings:

  • Prompt: Generate a highly detailed digital artwork of an abstract, symmetrical fractal "mask" or ethereal face emerging from swirling pink-orange tendrils and blue voids, evoking a cosmic explosion: central bulbous form with circular "eyes" (disc-warped via V6: \( \theta/\pi (\sin(\pi r), \cos(\pi r)) \) and dripping curls (swirl V3: \( (x \sin(r^{2\pi})-y \cos(r^{2\pi}), x \cos(r^{2\pi})+y \sin(r^{2\pi})) \), rendered as refractive/absorptive solid via ray-marched signed distance field from modified Mandelbulb II fractal—power \( n=11.24788742 \), LOOPS=64 iterations, initial \( z=chp(p)*p - p \) where \( chp(x)=(e^{2x\pi} + e^{-2x\pi})/\pi \), \( shp(x)=(e^{2x\pi} - e^{-2x\pi})/\pi \), \( chpp(x)=[e^{x/(cosh(x)\pi)} + e^{-x \pi / cosh(x)}]/(2\pi) \) \( \Phi \) with \( \Phi=(1+\sqrt{5})/2 \) golden ratio, \( shpp(x)=\sinh(\pi x \sinh(x))/\pi * \Phi \), \( ssh(x)=\sinh(x \pi /0.7887)/\pi \approx\sinh(4x)/\pi \), \( csh(x)=\cosh(4x)/\pi \), \( ssh1(x)=\sinh(x/\pi)/\Phi \), \( csh1(x)=\cosh(x/\pi)/\Phi \); iteration: \( r=||z|| \), if \( r>248 \) break; \( \phi=atan(z_x,z_y) \) (swapped phase), \( \theta=asin(z_z/r) + 0.2 t \) (\( t \) fixed for static); \( dr = r^{n-1} dr n +1 \) (start \( dr=1 \)); \( r\leftarrow r^n \); \( \theta\leftarrow\theta n /\Phi \approx\theta*6.95 \); \( \phi\leftarrow\phi n /\Phi \); \( z\leftarrow r * (shpp(\sin\theta \sin\phi) \Phi, chp(\cos\theta \sin\phi), \cos\phi) + p \); \( p\leftarrow reflect(p,z)=p-2(p\cdot z)/(z\cdot z) z \) (bilateral fold); \( DE=0.75 \log(r) r / dr \); \( df(p)=shp(DE *2) \) post-scale \( z1=2 \) and \( rot\_x((1.221 t +\pi)/\tau) \) with \( \tau=2\pi*0.7887\approx4.95 \); normal via finite diff \( \varepsilon=5e-4 \); ray march \( t=0 \), tol=\( 1e-5 \), max \( t=20 \), steps=48, dfactor=\( \pm1 \) (inside/out); multi-bounce=5: hit \( sp=ro+t rd \) (\( ro=0.6(0,2,5) \)), \( sn=dfactor normal(sp) \), \( fre=(1+rd\cdot sn)^2 \) mix(0.1,1), \( ld=normalize((0,10,0)-sp) \), \( dif=(ld\cdot sn max0)^2 \); \( ref=reflect(rd,sn) \), \( refr=refract(rd,sn, inside?1/1.05:1.05) \) (\( \eta=1.05 \)), if TIR \( rd=chpp(ref) \) else \( rd=refr \) toggle inside \( ragg*=chpp(0.8) \); inside \( ragg*=exp(-(t+0.1) beer) \) beer=-HSV(0.05,0.95,2) red absorption; \( col=HSV(0.6,0.85,1) dif (1-0.8) + sky(ref sp) *0.5 fre smooth(1,0.9,fre) \); \( agg+=ragg col \), \( ro=shpp(sp+0.1 rd) \); sky: warp \( ro=reflect(-ssh1(rd),chpp(ro)) \cdot rd * ro \) outer, base=clamp(\( 0.25/|ro\_z| \) HSV(0.6,0.86,1),0,1); planes \( t=chpp( (n\cdot ro+d)/(n\cdot rd) ) \) floor \( n=(0,-1,0) \) \( d=6 \) ceil (0,1,0) \( d=-4 \), floor box glow 4 sky \( rd\_y^2 \) smooth(0.25,0,box(xz,(6,9))-1) +0.8 sky exp(-0.5 max(db,0)), ceil circle 0.25 sky exp(-0.5 (\(||xz||-0.5\)); sky=shp(clamp(col,0,10)); FOV=tan(\( \tau/6 \)\approx47° orthog cam; post: aces\_approx(v*0.6 (2.51v+0.03)/(2.43v+0.59 v +0.14)) then sRGB mix(1.055 v^{1/2.4}-0.055,12.92v, v<0.00313); vibrant HSV palette hoff=0, glow HSV(0.065,0.8,6), diffuse HSV(0.6,0.85,1), blue bg gradients, speckled textures from low-iter approx, anti-aliased via FXAA-inspired, ethereal volumetric glow, high-res 4K surreal sci-fi art in style of fractal flames meets raytracing. Apply cross product of the tangent bundle fibration of the conifold over the cotangent bundle fibration of the orbifold !
  • Using base image: No
  • 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.
  • Using base image: No
  • Aspect Ratio: landscape

panspermia flower

• Model: DaVinci2

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: Space-time is a four-dimensional fabric, a seamless tapestry woven from the three dimensions of space and the one dimension of time. This cosmic web is not a static stage, but a dynamic, undulating entity. Massive objects, like galaxies and stars, bend and warp this fabric, creating gravity, a cosmic indentation that guides the dance of planets and light. Black holes are singularities where the fabric is torn, a point of infinite density and zero volume, a nexus of paradox. The quantum foam, a subatomic froth of fleeting particles, bubbles at the smallest scales, a chaotic, numinous effervescence that hints at a deeper, unseen reality. This network, with its invisible threads and cosmic knots, is the very substance of existence, a living architecture that binds all things, a symphony of curved and flowing dimensions where past, present, and future are but notes in a single, sublime chord
  • Using base image: No
  • Aspect Ratio: landscape_wide

Vibrant Abstract Floral Burst in Warm Hues

• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Cubist flowers in a vibrant, mixed arrangement of digital blooms in a vase — featuring subtle heart-shaped petals and artistic textures. A visually striking and dreamy floral fusion with modernized charm.
  • Using base image: No
  • Aspect Ratio: square

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• Model:

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: A cubist nightmare adrift in space, the alien ship fractures geometry and logic—its overcomplicated frame folds into itself like an Escher puzzle, pulsing with holographic windows that open to nowhere and everywhere. Colors glitch in impossible spectra, while reality shimmers around its jagged hull. It hums with the thoughts of extinct gods,
  • Using base image: No
  • Aspect Ratio: square

Vibrant Butterfly Against Abstract Colors

• Model: Artistic

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Mariposas con colores bioluminiscentes estilo Jean-Baptiste Monge. Una vívida exhibición de mariposas coloridas, que lucen alas iridiscentes con tonos de azul, púrpura y dorado. Cada una tiene por cuerpo a una hermosa mujer de cabello largo. Sus formas delicadas contrastan bellamente con un fondo oscuro y natural.
  • Using base image: No
  • Aspect Ratio: landscape

Organic Depth in Bold Contrast

• Model:

• Size: 2981 X 1677 (5.00 MP)

• Used settings:

  • Prompt: Create an abstract image featuring a highly detailed, organic structure reminiscent of a complex, branching coral or tree-like formation. The structure should be predominantly black with intricate patterns and numerous hollow cavities that showcase a porous texture. It should display an array of fine branches extending outward in various directions, emphasizing a sense of depth and complexity. The background should have a striking, vibrant red color that contrasts sharply with the black structure, enhancing its visibility and creating a bold visual impact. The overall composition should highlight the interplay of light and shadow on the textured surfaces of the organic formation, drawing the viewer's eye to the unique details within the structure.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Cosmic Cat: A Colorful Abstract Journey

• Model: Artistic 2

• Size: 1168 X 880 (1.03 MP)

• Used settings:

  • Prompt: New surreal world
  • Using base image: No
  • Aspect Ratio: landscape

Vibrant Circular Mandala Design in Bold Colors

• Model: DaVinci2

• Size: 1168 X 880 (1.03 MP)

• Used settings:

  • Prompt: zentangle
  • Using base image: Yes

Eiffel's tower

• Model:

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Eiffel tower in the style of M.C. Escher
  • Using base image: No
  • Aspect Ratio: square

A minha guitarra chora suavemente

• Model: DaVinci2

• Size: 872 X 1176 (1.03 MP)

• Used settings:

  • Prompt: Blue Gibson Les Paul style of Matisse, Picasso, Josef Kote. Visible brushstrokes.
  • Using base image: Yes