#orangeabstraction

Vibrant Fractal Design in Blue and Orange

• Model:

• 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

Abstract Sphere of Scientific Exploration

• Model:

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Generate the following: Represent 3D points in spherical coordinates where \( r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}} \), \( \theta = \text{acos}(z/r) \), \( \phi = \text{atan2}(y, x) \). The power operation \( v^n = r^n \cdot [\sin(n\theta) \cos(n\phi), \sin(n\theta) \sin(n\phi), \cos(n\theta)] \). Iteration: \( v_{k+1} = v_k^n + c \), starting from \( v_0 = (0,0,0) \), with escape if \( |v_k| > 24.78 \) after 64 iterations. Use ray marching with distance estimator \( DE(p) \approx (1/2) \cdot (r - R) / |dr/dv| \) for rendering, applying escape-time coloring, orbit traps, and Phong shading for neon glow effects. Using also: $$ \sum_{n=0}^\infty \left(\frac{1}{2^n}\right), \quad \int_{-\infty}^\infty e^{-x^2} \, dx = \sqrt{\pi}, \quad f(x) = x^2 + c, \quad z_{k+1} = z_k^2 + c, \quad |z| = \sqrt{x^2 + y^2}, \quad z = r e^{i\theta}, \quad z^2 = r^2 e^{i2\theta}, \quad x' = r^2 \cos(2\theta), \quad y' = r^2 \sin(2\theta) $$ $$ r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}}, \quad \theta = \text{acos}(z/r), \quad \phi = \text{atan2}(y,x), \quad v^n = r^n [\sin(n\theta)\cos(n\phi), \sin(n\theta)\sin(n\phi), \cos(n\theta)], \quad v_{k+1} = v_k^n + c, \quad DE \approx \frac{1}{2}\frac{(r-R)}{|dr/dv|} $$ along with additional generic math like \( \sum \), \( \int \), \( \frac{\partial}{\partial x} \), \( \lim_{x\to\infty} \), \( \Gamma(z) \), \( \zeta(s) \), and graphs of functions such as sine waves, parabolas, and axes arrows. Ensure the composition is centered on the fractal with soft glows, high resolution, surreal and mathematical aesthetic, similar to AI-generated fractal art in a cosmic math universe.
  • Using base image: No
  • Aspect Ratio: square

A Dance of Colors

• Model: FluX

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Create an image of an abstract water splash that appears dynamic and fluid. The splash should be predominantly a gradient of colors transitioning from a soft blue at the base to a vibrant orange at the top, with wispy tendrils creating a sense of movement. The background should be dark and featureless to emphasize the colors and details of the splash. Include fine mist and droplets suspended in the air, sparkling as if illuminated by unseen light sources, adding depth and texture. The overall composition should give the impression of energy and creativity, with swirling patterns that evoke the idea of dancing water or ethereal waves.
  • Using base image: No
  • Aspect Ratio: landscape

Radiant Sunburst: A Vibrant Swirl of Color

• Model: DaVinci2

• Size: 1016 X 1016 (1.03 MP)

• Used settings:

  • Prompt: much more mandelbrot detail
  • Using base image: Yes

Dynamic Waves of Color and Texture

• Model: Artistic

• Size: 896 X 704 (0.63 MP)

• Used settings:

  • Prompt: fashion dolls
  • Using base image: No
  • Aspect Ratio: landscape

Dynamic Earthy Abstract Swirls and Textures

• Model: Artistic 2

• Size: 1106 X 584 (0.65 MP)

• Used settings:

  • Prompt: bizarre surrealism erasing the line between structures and people :: neo-impressionism, expressionist style, oil painting, smooth post-impressionist impasto acrylic painting, thick layers of colourful textured paint, blue based, high contrast, soft, beautiful, yet bizarre
  • Using base image: Yes

Vibrant Abstract Harmony in Blue and Orange

• Model: DaVinci2

• Size: 1016 X 1016 (1.03 MP)

• Used settings:

  • Prompt: Dear AI Friend, Please create an abstract painting in watercolours, using the wet-in-wet method. I have provided the base image. Thank you.
  • Using base image: Yes

Mesmerizing Patterns in Vibrant Colors

• Model: DaVinci2

• Size: 1016 X 1016 (1.03 MP)

• Used settings:

  • Prompt: Surreal hyper graphic, intensely detailed image of a chic young woman exuding texture, elegance, seamless fluidity. photo-realistic portrayal with hyper-detailed graphic line art and pointillism. Alex Grey's exceptional array of patterns and textures + Victor Vasarely, Peter Kogler layered graphic art. Intricate detailing, expert techniques, layering, shading, masterful doodling with a fine black ink pen, incorporating figures and geometric elements with exceptional detail. abstract brushstrokes, minimalist overlay, zen lines, black background with water effect, elegant and precise aesthetic, mathematical hallucination, silk moire, Ben Heine digital circularism, blending highly detailed elegant pencil sketch sophistication with exquisite contrast. Composition is a testament to masterful drawing and techniques Modifiers: Nikon D850 masterpiece photorealistic sensuality hyperrealistic ultra detailed pencil sketch no text Alex Grey Geometric line art great depth and scale graceful intricately detailed Engraving dynamic pose grayscale insanely intricate no nudity Avant garde insanely detailed texture Layered intricacies textured pointillism hyper-detailed textures graphically diverse textures enhanced expressiveness Dirk Dzimirsky High graphic elements Aesthetically & anatomically accurate & proportional facial features No closed eyes geometric aesthetic integrity of lines & shapes hyper precision Enhanced 3D effects perfect body coordination & accurate body kinetics & positioning beautiful award winning hyperrealistic ultra detailed 3D texture, cel-shading, octane render, line art graphic illustration M. C. Escher Dynamic movement and flow Gradient transitions Perfect Anatomical & proportional accuracy Hyper-realistic symmetrical wide-set eyes with realistic light reflections Nikon D850 Art is high caliber on every level lines made of visibly differentiating pointillism layered graduating pointillism pointillism aspect Quantum Texturing precision
  • Using base image: Yes

Vibrant Fractal Patterns in Turquoise and Orange

• Model: Photonic

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: mandelbrot fractal fibonacci highly detailed luscious colors intricate
  • Using base image: No
  • Aspect Ratio: square