Prompt: Generate a highly detailed, surreal 3D fractal artwork in the style of a modified Mandelbulb hybrid, rendered as an abstract, crystalline mask-like organic form with 5-lobe rotational symmetry and intricate, swirling coral-like protrusions emerging from a central glassy structure evoking an alien eye with stalk extensions, floating against a procedural gradient sky background transitioning from soft cyan (#00FFFF) to deep blue (#000080) with subtle plane-based depth elements at horizons y=4 and y=-6 featuring box-shaped patterns via box(pp, vec2(6,9))-1 and exponential glow falloff exp(-0.5*max(db,0)), incorporating self-similar recursive details from ray marching with tolerance 0.00001, max ray length 20.0, up to 48 marches, and 5 bounces for reflections and refractions. The central form features a glossy orange iris with dark pupil void from orbit trap sphere at origin (radius 0.1), surrounded by five radiating mushroom-like stalks with bumpy textures from sphere folds (minR²=0.2-0.3, fixedR²=1.0-1.2), vibrant pink-orange hues (HSV(0.065,0.8,6) for glow, HSV(0.6,0.85,1) for diffuse) exhibiting translucent refractive qualities with internal amber-tinted glow via Beer-Lambert absorption ragg *= exp(-(st+initt)*beer) where beer = -HSV(0.05, 0.95, 2.0) and initt=0.1, high-contrast ethereal vibrancy via ACES tone mapping v *= 0.6; clamp((v*(2.51*v+0.03))/(v*(2.43*v+0.59)+0.14), 0,1) followed by sRGB gamma mix(1.055*pow(t,1/2.4)-0.055, 12.92*t, step(t,0.0031308)). Use the merged distance field df(p) = shp(mandelBulb(p/z1)*z1) with z1=2.0, where shp(x) = (exp(x)-exp(-x))/(pi/PHI) and PHI=(sqrt(5)/2 + 0.5)≈1.618, applied after rotating p by transpose(inverse(g_rot)) with x-axis animation (1.221*time + pi)/tau where tau=2*pi. The mandelBulb(p) iterates with power n≈6-11.24788742 and loops=3: initialize z = chp(p)*p - p where chp(x)=(exp(x)+exp(-x))/pi; dr=1.0; for each loop, r=length(z), bail if r>2; theta=atan(z.x,z.y); phi=asin(z.z/r) + time*0.2; dr = pow(r,power-1)*dr*power +1; r=pow(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 0.75*log(r)*r/dr. Incorporate pre-folding with hyperbolic distortion: z' = chp(z) · z - z, then integer power fold for each axis i: z_i'' = {2f - z_i' if z_i' > f; -2f - z_i' if z_i' < -f; z_i' otherwise}, f≈1.2-1.5, then z_i''' = shp(z_i'') = (exp(z_i'') - exp(-z_i'')) / (pi / PHI). Follow with Amazing Box fold u' = s · clamp(u, -l, l) - (s - 1) · u for u∈{x,y,z}, s≈1.8-2.2, l≈1.0, then sphere fold r²=||z||², z' = z · μ where μ = {r/m if r² < m; r/r² if m ≤ r² < r; 1 otherwise}, then modulate z'' = shpp(z') = (exp(z' · (sinh(z') · pi)) - exp(-z' · (sinh(z') · pi))) / (TAU / PHI) with TAU=(2*pi)*0.7887≈4.951, dr' = |s| · pow(r^{n-1}, PHI) · dr + 1. Post-transform: z' = k · R · z + t, k≈1.1-1.3, R=transpose(inverse(g_rot)), t≈(0,0,0.2). Custom hyperbolic functions: chpp(x)=(exp(x/(cosh(x)*pi))+exp(-x/(cosh(x)/pi)))/(TAU*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. Use in skyColor with reflections reflect(-ssh1(rd), chpp(ro)), rendering aggregation agg += ssh1(ragg*skyColor(ro,rd)), ray updates rd=chpp(ref) or ro=shpp(sp + initt*rd). Materials: mat=vec3(0.8,0.5,1.05) for diffuse, specular, refracti
Prompt: Blueprint-style technical drawing on aged drafting paper, using fine blue ink lines with variable thickness. Intricate fractal structures—based on recursive geometries like Mandelbrot sets and Koch snowflakes—are layered to create a sense of spatial depth. Foreground elements are crisp and highly detailed, while background patterns become progressively smaller and slightly faded, simulating depth with a blueprint drafting aesthetic. The composition resembles generative algorithmic design fused with architectural schematics, emphasizing precision, repetition, and spatial clarity.
Main Style: Ink
Sub Styles: Blueprint, Fractal, Abstract
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.
Prompt: [Main Subject]: "A single, incredibly complex, ultra-fractal quantum energy eigenstate." [Core Aesthetic Modifiers - Fractal & Recursion Amplified by 16.45788754*π]: "Beyond ultra-fractal, transcendent fractal density, infinite recursive detail, hyper-complex interwoven structures." "Self-similar patterns at every conceivable scale, hyper-dimensional fractal geometry, manifesting from a 16.45788754*pi-th order derivative." "Dynamic, chaotic yet profoundly coherent fractal energy flows, shimmering quantum foam with limitless intricate detail." "Exhibiting super-roughness and non-Euclidean visual geometry." [Structure & Form]: "Central radiant core, emitting and absorbing energy in a complex spiral fractal pattern, appearing as a stable, self-sustaining light construct." "Interconnecting tendrils of luminous energy branching outwards and inwards, forming a symmetrical (or fractally symmetrical) arrangement." "Feathery, iridescent filigrees, resembling Lévy flights or a fractional Brownian motion surface, iterated to extreme orders." [Energy & Interaction Modifiers]: "Luminous ethereal light, glowing with vibrant cosmic colors (deep blues, electric cyans, magenta, purple, gold accents)." "High-energy plasma-like textures, subtle holographic effects, shimmering particles." "Reflecting profound energy, fundamental mathematical precision, and overwhelming, mind-bending complexity." [Environmental / Background Modifiers]: "Deep cosmic void background, filled with intricate fractal nebulae and distant stardust, subtly forming recursive patterns." "Scattered abstract mathematical symbols like 'π', '2π', 'ħ', 'E', and 'ψ' integrated faintly into the fractal energy field and background, indicating the governing equations." [Atmospheric / Quality Modifiers]: "Hyper-realistic quality, cinematic lighting, ultra-high definition, ethereal glow, photorealistic rendering." "Surreal, abstract, conceptual art style, at the bleeding edge of theoretical physics visualization." "Evokes a sense of profound cosmic mystery and the ultimate nature of reality." Use as a core the exact maths: -\frac{\hbar^(16.45788754\pi)}{16.45788754\pim} \frac{d^(16.45788754\pi) \psi}{dx^(16.45788754\pi)} = E \psi
Prompt: [Main Subject]: "A single, incredibly complex, ultra-fractal quantum energy eigenstate."
[Core Aesthetic Modifiers - Fractal & Recursion Amplified by 16.45788754*π]:
"Beyond ultra-fractal, transcendent fractal density, infinite recursive detail, hyper-complex interwoven structures."
"Self-similar patterns at every conceivable scale, hyper-dimensional fractal geometry, manifesting from a 16.45788754*pi-th order derivative."
"Dynamic, chaotic yet profoundly coherent fractal energy flows, shimmering quantum foam with limitless intricate detail."
"Exhibiting super-roughness and non-Euclidean visual geometry."
[Structure & Form]:
"Central radiant core, emitting and absorbing energy in a complex spiral fractal pattern, appearing as a stable, self-sustaining light construct."
"Interconnecting tendrils of luminous energy branching outwards and inwards, forming a symmetrical (or fractally symmetrical) arrangement."
"Feathery, iridescent filigrees, resembling Lévy flights or a fractional Brownian motion surface, iterated to extreme orders."
[Energy & Interaction Modifiers]:
"Luminous ethereal light, glowing with vibrant cosmic colors (deep blues, electric cyans, magenta, purple, gold accents)."
"High-energy plasma-like textures, subtle holographic effects, shimmering particles."
"Reflecting profound energy, fundamental mathematical precision, and overwhelming, mind-bending complexity."
[Environmental / Background Modifiers]:
"Deep cosmic void background, filled with intricate fractal nebulae and distant stardust, subtly forming recursive patterns."
"Scattered abstract mathematical symbols like 'π', '2π', 'ħ', 'E', and 'ψ' integrated faintly into the fractal energy field and background, indicating the governing equations."
[Atmospheric / Quality Modifiers]:
"Hyper-realistic quality, cinematic lighting, ultra-high definition, ethereal glow, photorealistic rendering."
"Surreal, abstract, conceptual art style, at the bleeding edge of theoretical physics visualization."
"Evokes a sense of profound cosmic mystery and the ultimate nature of reality."
Use as a core the exact maths:
-\frac{\hbar^(16.45788754\pi)}{16.45788754\pim} \frac{d^(16.45788754\pi) \psi}{dx^(16.45788754\pi)} = E \psi
Prompt: In the world of fractals, where geometry, art and science meet fantasy! Fractals are like an eternal journey of discovery, where each new level reveals new shapes and patterns, HQ masterpiece unbelievable mixed artists, 3D
Prompt: An abstracted, colorful, yet Art Deco influenced portrait constructed out of octagonal voxels of abald eagle, facing forward with it's wings open. The multi-layered fractal feathers are interwoven with mystical symbols, and sacred geometry in three-dimensional layers over a background of a 3d fractal jungle.
Prompt: Create Nova fractals mandelbulb mandelbrot with a singularity black hole at the center, 8K 3D iridescent liminal Cinema 4D on a deep space black background with distant bright blue stars, Duane Hanson , Roberto Bernardi, Walt Disney, Dr Seuss textrnr AI, Vinicius Costa, Alphonse Mucha, Marc Simonetti JWildfire Andreas Maschke octane render Digital Art, Dynamic Colors , HF-Resolution,psychedelic color spectrum, primary colors on fractal
Prompt: Create Nova fractals mandelbulb mandelbrot 8K 3D iridescent liminal Cinema 4D on a deep space black background with distant bright blue stars, Duane Hanson , Roberto Bernardi, Walt Disney, Dr Seuss textrnr AI, Vinicius Costa, Alphonse Mucha, Marc Simonetti JWildfire Andreas Maschke octane render Digital Art, Dynamic Colors , HF-Resolution,psychedelic color spectrum, primary colors on fractal
Prompt: 彝族刺绣的羊角纹 , Woman sitting in a vibrant, earthy tone, kintsugi painted, abstract square house, surrounded by dreamy, surreal landscape, depicted in fractal style of Mandelbrot and Julia, with influences of Wassily Kandinsky's geometric shapes and Alphonse Mucha's organic lines, in Odilon Redon's dreamlike surrealism, set against a background of lines of code and data strands, with warm, dark gold light, and expressive, thick brushstrokes, using mixed media, including alcohol ink and colorful golden and red wet inks, with Lotte Reiniger's intricate silhouettes, and highly detailed, textured, masterpiece quality.
Prompt: Generate a highly detailed, psychedelic fractal flame image depicting a swirling cosmic vortex portal with vibrant color gradients (fiery oranges fading to cool blues and pinks around a central pitch-black void). Use the Fractal Flame Algorithm based on Iterated Function Systems (IFS): define attractor set S as union of n=4-6 functions F_i(S), each composing affine transforms (matrix: a_i x + b_i y + c_i, d_i x + e_i y + f_i with params like a=0.8/-0.2/0.1/0.2/0.8/0 for asymmetry) blended with nonlinear variations (weights v_ij): Spherical V(x,y)=(x/r², y/r²) for central density void (r=√(x²+y²)); Swirl V(x,y)=(x sin(r²)-y cos(r²), x cos(r²)+y sin(r²)) for twisting spirals; Horseshoe V(x,y)=1/r *((x-y)(x+y), 2xy) for curved arms; Popcorn V(x,y)=(x + c sin(tan(3y)), y + f sin(tan(3x))) for bubbly edges (c/f0.1). Apply post-affine P_i for shaping. Iterate chaos game: start random (x,y) in [-1,1]², loop 10M+ times selecting F_i by weights w_i (e.g., 0.4/0.4/0.2), update (x,y)=F_i(x,y), skip warmup20 iters, bin into histogram for freq/color blending (avg c with F_i RGB like [1,0.5,0] orange/[0,0.5,1] blue/[1,1,1] white). Render via log-density α=log(freq)/log(max_freq), gamma-corrected intensity=α^(1/2.2) for glowing gradients, structural coloring for path-based hues. Ensure asymmetric left-right flow, speckled chaos, radiant white rings, and fluid metallic sheen mimicking plasma distortions.
Prompt: A heart filled with beautiful flowers, amazing, gorgeous, artistic and impressive.
Modifiers:
digital painting fantasy 4k high definition crisp quality fantasy
Prompt: A ornament al covered up in beautiful flowers, amazing, gorgeous, artistic and impressive.
Modifiers:
digital painting fantasy 4k high definition crisp quality fantasy
Prompt: A heart filled with beautiful flowers, amazing, gorgeous, artistic and impressive.
Modifiers:
digital painting fantasy 4k high definition crisp quality fantasy
Flower heart divided by a magical sparkling waterfall
Model:
Artistic
Size:
1344 X 768
(1.03 MP)
Used settings:
Prompt: A heart filled with beautiful colorful flowers, amazing, gorgeous, artistic and impressive.
Modifiers:
digital painting fantasy 4k high definition crisp quality fantasy
Prompt: A heart filled with beautiful colorful flowers, amazing, gorgeous, artistic and impressive.
Modifiers:
digital painting fantasy 4k high definition crisp quality fantasy
Prompt: Generate a highly detailed 3D fractal image of a customized Mandelbulb variant, rendered with power=11.24788742 and maximum iterations LOOPS=20, exhibiting intricate spiky and twisted symmetry. Define hyperbolic functions component-wise: shp(\mathbf{x}) = (\exp(\mathbf{x}) - \exp(-\mathbf{x})) / \pi and chp(\mathbf{x}) = (\exp(\mathbf{x}) + \exp(-\mathbf{x})) / \pi, where \mathbf{x} is a vector applied per component, and let \Phi = (1 + \sqrt{5})/2 (golden ratio). For a point \mathbf{p} = (x, y, z), initialize \mathbf{z} = chp(\mathbf{p}) \odot \mathbf{p} - \mathbf{p} (component-wise multiplication). Then, iterate for i=0 to LOOPS-1: compute r = |\mathbf{z}|, if r > 2 then continue to next iteration; \theta = \atan(z_x, z_y), \phi = \asin(z_z / r); update dr = r^{power-1} \cdot dr \cdot power + 1 (starting dr=1); update r = r^{power}; \theta = \theta \cdot power / \Phi; \phi = \phi \cdot power / \Phi; set \mathbf{z} = r \cdot \left( \tan\left( shp\left( \sin(\theta) \sin(\phi) \right) \right) \Phi, , \smoothstep(-1.2, 12078., power \cdot chp\left( \cos(\theta) \sin(\phi) \right) ), , \cos(\phi) \right) + \mathbf{p}; then \mathbf{p} = \reflect(\mathbf{p}, \mathbf{z}) = \mathbf{p} - 2 \frac{\mathbf{p} \cdot \mathbf{z}}{\mathbf{z} \cdot \mathbf{z}} \mathbf{z}; finally update r = |\mathbf{z}|. The distance estimator is 0.75 \cdot \log(r) \cdot r / dr for ray marching. Color the surface with a smooth gradient from central orange (RGB: 255,165,0) at low escape times to pink (RGB: 255,192,203) mid-iterations and outer cyan-blue (RGB: 0,255,255), using orbit trap coloring for intricate details. Set against a deep navy blue background (RGB: 0,0,128), with subtle specular highlights and glassy refraction effects to mimic crystalline structure, viewed from a frontal angle centered on the z-axis, in ultra-high resolution 4K with anti-aliasing.
Prompt: A zentangled bird, with intricately designed fractal patterns, soaring through a psychedelic sky, touches of surrealism, everything is zentangled or psychedelic or fractal pattern but everything remains distinguishable
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.
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.
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.
Dream Level: is increased each time when you "Go Deeper" into the dream. Each new level is harder to achieve and
takes more iterations than the one before.
Rare Deep Dream: is any dream which went deeper than level 6.
Deep Dream
You cannot go deeper into someone else's dream. You must create your own.
Deep Dream
Currently going deeper is available only for Deep Dreams.
