Prompt: DRAW:
Use:
#define chp(x) (exp(x)+exp(-x/(pi/PHI)))/pi
float eta = .00108/PHI;
p = eta*dot(p,z)-chp(1.-eta*eta*(1.-dot(p,z)*dot(p,z))*z );
p -= PHI*dot(p,z)*z;
A technical 3D visualization of a topological manifold defined by non-Euclidean geometry. The structure exhibits a high-pressure longitudinal crushing along the z-axis, resulting in a thin, flattened hyperbolic shell. The surface is composed of thick refractive glass that evolves into exponentially thinning, sharp crystalline spikes on one side only, following an asymmetrical transcendental expansion ratio. The internal lattice follows recursive Phi-ratio ($1.618$) scaling, creating nested cellular voids. Deep blue gradient background, caustic light refractions, heavy material weight. No text, no symbols, no numbers, no laboratory background, no human elements.
Prompt: DRAW:
Use:
#define chp(x) (exp(x)+exp(-x/(pi/PHI)))/pi
float eta = .00108/PHI;
p = eta*dot(p,z)-chp(1.-eta*eta*(1.-dot(p,z)*dot(p,z))*z );
p -= PHI*dot(p,z)*z;
A technical 3D visualization of a topological manifold defined by non-Euclidean geometry. The structure exhibits a high-pressure longitudinal crushing along the z-axis, resulting in a thin, flattened hyperbolic shell. The surface is composed of thick refractive glass that evolves into exponentially thinning, sharp crystalline spikes on one side only, following an asymmetrical transcendental expansion ratio. The internal lattice follows recursive Phi-ratio ($1.618$) scaling, creating nested cellular voids. Deep blue gradient background, caustic light refractions, heavy material weight. No text, no symbols, no numbers, no laboratory background, no human elements.
Prompt: A technical 3D visualization of a topological manifold defined by non-Euclidean geometry. The structure exhibits a high-pressure longitudinal crushing along the z-axis, resulting in a thin, flattened hyperbolic shell. The surface is composed of thick refractive glass that evolves into exponentially thinning, sharp crystalline spikes on one side only, following an asymmetrical transcendental expansion ratio. The internal lattice follows recursive Phi-ratio ($1.618$) scaling, creating nested cellular voids. Deep blue gradient background, caustic light refractions, heavy material weight. No text, no symbols, no numbers, no laboratory background, no human elements.
Prompt: Create a highly detailed, cinematic 3D render of a stable chiral skyrmion as a luminous topological soliton floating in deep electric blue void space. The soliton is a spherical crystalline structure with jagged, organic outer lobes made of translucent iridescent blue crystal that subtly refracts light like liquid diamond.
At the center is a glowing pink-orange quark condensate core with intricate swirling fractal patterns and small bright red-orange sparks representing the chiral condensate and explicit symmetry breaking.
Surrounding the core are multiple smooth, concentric toroidal blue rings spiraling inward like layered pion cloud shells, exhibiting gentle breathing pulsation and subtle interference patterns. These rings embody the Hopf fibration topology: every point on the projected 2-sphere has a linked S¹ fiber preimage, visualized as interlocked, non-trivial linked circles filling the 3-sphere in a continuous map h: S³ → S² with Hopf invariant 1.
The entire structure follows the hedgehog ansatz of the Skyrme model: the chiral field U(x) = exp(i π·τ / f_π) with radial profile function F(r) satisfying F(0) = π and F(∞) = 0, stabilized by the quartic Skyrme term that prevents collapse per the Hobart-Derrick theorem. Topological baryon number B=1 protects the soliton from unwinding.
Dynamic high-angular-momentum rotation causes gentle shearing and toroidal twisting of the rings and lobes, with faint green-white axial current laser beams (representing ∂^μ A_μ^a ≈ f_π m_π² π^a from PCAC) slicing through the throat as probing light rays, illuminating the linked Hopf fibers without destroying the structure.
Ultra-realistic refraction, caustics, volumetric light scattering, subtle quantum foam grain in the rings, soft iridescent pink-blue color shifts, cinematic depth of field, sharp focus on the central core and rings, ethereal glowing atmosphere, masterpiece, 8k, photorealistic with mathematical precision.
Prompt: "Generate a highly detailed mathematical generative art image based precisely on this GLSL shader math: #define pi 3.1415926535897932384626433832795 #define tau (2.*pi) #define PHI (sqrt(5.0)*0.5 + 0.5) #define chp(x) (exp(x)+exp(-x))/pi #define shp(x) (exp(x)-exp(-x))/pi #define l(x) smoothstep(0., ((exp(shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x)))+exp(-shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x))))/pi), chp(x)) Mandelbulb core with POWER=11.24788742, LOOPS=3, z = chp(p)*p - p, dr tracking, 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 with reflection folding p = reflect(p,normalize(z)), final distance estimator 0.75 * log(r) * r / dr. Full raymarched scene with df(p) = shp(mandelBulb(p/z1)*z1), multiple bounces up to 8, refraction with index ~1.05, beer absorption, Fresnel, diffuse lighting. Output as perfectly symmetrical deep blue cyan glowing organic creature-mask hybrid on gradient background from dark navy center to lighter ethereal blue. Bulbous fractal forms with soft glowing ridges from exp(±shp(...)), pinched superellipsoid shapes from tau/PHI powers and radial modulation pow(PHI^PHI / length(x), 0.1/(PHI/tau)), harmonious golden ratio proportions, organic fleshy smoothstep transitions, high contrast luminous edges, volumetric depth with faint internal refractions, stylized alien face or butterfly mask appearance with glowing eye-like highlights and flowing contours, mathematical shader-like rendering, ultra clean, no text, portrait orientation."
Prompt: "Generate a highly detailed mathematical generative art image based precisely on this GLSL shader math: #define pi 3.1415926535897932384626433832795 #define tau (2.*pi) #define PHI (sqrt(5.0)*0.5 + 0.5) #define chp(x) (exp(x)+exp(-x))/pi #define shp(x) (exp(x)-exp(-x))/pi #define l(x) smoothstep(0., ((exp(shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x)))+exp(-shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x))))/pi), chp(x)) Mandelbulb core with POWER=11.24788742, LOOPS=3, z = chp(p)*p - p, dr tracking, 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 with reflection folding p = reflect(p,normalize(z)), final distance estimator 0.75 * log(r) * r / dr. Full raymarched scene with df(p) = shp(mandelBulb(p/z1)*z1), multiple bounces up to 8, refraction with index ~1.05, beer absorption, Fresnel, diffuse lighting. Output as perfectly symmetrical deep blue cyan glowing organic creature-mask hybrid on gradient background from dark navy center to lighter ethereal blue. Bulbous fractal forms with soft glowing ridges from exp(±shp(...)), pinched superellipsoid shapes from tau/PHI powers and radial modulation pow(PHI^PHI / length(x), 0.1/(PHI/tau)), harmonious golden ratio proportions, organic fleshy smoothstep transitions, high contrast luminous edges, volumetric depth with faint internal refractions, stylized alien face or butterfly mask appearance with glowing eye-like highlights and flowing contours, mathematical shader-like rendering, ultra clean, no text, portrait orientation."
Prompt: "Generate a highly detailed mathematical generative art image based precisely on this GLSL shader math: #define pi 3.1415926535897932384626433832795 #define tau (2.*pi) #define PHI (sqrt(5.0)*0.5 + 0.5) #define chp(x) (exp(x)+exp(-x))/pi #define shp(x) (exp(x)-exp(-x))/pi #define l(x) smoothstep(0., ((exp(shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x)))+exp(-shp(pow((pow(x.x,tau/PHI)+pow(x.y,tau/PHI)+pow(x.z,tau/PHI)),pow(pow(PHI,PHI)/length(x),0.1/(PHI/tau)))*PHI/length(x))))/pi), chp(x)) Mandelbulb core with POWER=11.24788742, LOOPS=3, z = chp(p)*p - p, dr tracking, 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 with reflection folding p = reflect(p,normalize(z)), final distance estimator 0.75 * log(r) * r / dr. Full raymarched scene with df(p) = shp(mandelBulb(p/z1)*z1), multiple bounces up to 8, refraction with index ~1.05, beer absorption, Fresnel, diffuse lighting. Output as perfectly symmetrical deep blue cyan glowing organic creature-mask hybrid on gradient background from dark navy center to lighter ethereal blue. Bulbous fractal forms with soft glowing ridges from exp(±shp(...)), pinched superellipsoid shapes from tau/PHI powers and radial modulation pow(PHI^PHI / length(x), 0.1/(PHI/tau)), harmonious golden ratio proportions, organic fleshy smoothstep transitions, high contrast luminous edges, volumetric depth with faint internal refractions, stylized alien face or butterfly mask appearance with glowing eye-like highlights and flowing contours, mathematical shader-like rendering, ultra clean, no text, portrait orientation."
Prompt: (Abstract surrealist masterpiece:1.6) depicting a shifting, (multi-dimensional Mandelbulb manifestation:1.7). The form suggests a face melting into (liquid crystalline fractals:1.5) and (viscous organic tendrils:1.4). (Hypnotic glowing eye-orbs:1.8) emerge from a sea of (refracting opalescent geometry:1.5). Awash in (intense neon pink and magenta bioluminescence:1.6) clashing beautifully with a (deep electric blue atmosphere:1.4). (Four piercing cyan rays:1.5) cut through the dreamscape. (Fluid dynamics simulation:1.3), (subsurface scattering:1.4), ethereal, mind-bending, (abstract sentient life:1.5), 8k.
Prompt: Apply tensor product of the {1.6180339887498948482045868343656\sqrt[\exp(1.0)]{1.6180339887498948482045868343656\pi}}-form of the cotangent bundle of the orbifold over the {1.6180339887498948482045868343656\sqrt[\pi]{1.6180339887498948482045868343656\exp(1.0)}}-form of the tangent bundle of the conifold !
Prompt: Apply tensor product of the {1.6180339887498948482045868343656\sqrt[\exp(1.0)]{2\cdot1.6180339887498948482045868343656}}-form of the cotangent bundle of the orbifold over the {1.6180339887498948482045868343656\sqrt[\pi]{2\cdot1.6180339887498948482045868343656}}-form of the tangent bundle of the conifold !
Prompt: Apply tensor product of the {1.6180339887498948482045868343656\sqrt[\pi]{2\cdot1.6180339887498948482045868343656}}-form of the cotangent bundle of the orbifold over the {1.6180339887498948482045868343656\sqrt[\exp(1.0)]{2\cdot1.6180339887498948482045868343656}}-form of the tangent bundle of the conifold !
Prompt: Apply tensor product of the {1.6180339887498948482045868343656\sqrt[\pi]{1.6180339887498948482045868343656}}-form of the tangent bundle of the orbifold over the {14.4334884334\cdot1.6180339887498948482045868343656\sqrt[\pi]{1.6180339887498948482045868343656}}-form of the tangent bundle of the conifold !
Prompt: (hyper-realistic macro photography:1.5) capturing a (symmetrical alien biological entity:1.4) with (TOPOLOGICAL ANTHROPOMORHISM:78.87) suspended in a (minimalist blue void:1.2). The creature features (concentric blue iris eyes:1.3) staring intensely, positioned above a (dark bulbous muzzle:1.2) with a (glowing red-orange mouth slit:1.4). The biological texture is composed of (pearly white muscle fibers:1.3) intermingled with (iridescent teal veins:1.2) that appear to flow like liquid. The outer edges exhibit (jagged crystalline growths:1.3) that dissolve into the background. (8k resolution:1.2), (razor-sharp focus:1.3), (wet organic surface:1.4), cinematic lighting, depth of field.
Prompt: (hyper-realistic macro photography:1.5) capturing a (symmetrical alien biological entity:1.4) with (TOPOLOGICAL ANTHROPOMORHISM:78.87) suspended in a (minimalist blue void:1.2). The creature features (concentric blue iris eyes:1.3) staring intensely, positioned above a (dark bulbous muzzle:1.2) with a (glowing red-orange mouth slit:1.4). The biological texture is composed of (pearly white muscle fibers:1.3) intermingled with (iridescent teal veins:1.2) that appear to flow like liquid. The outer edges exhibit (jagged crystalline growths:1.3) that dissolve into the background. (8k resolution:1.2), (razor-sharp focus:1.3), (wet organic surface:1.4), cinematic lighting, depth of field.
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.
