#3dstructure

Vibrant Twisted Torus in 3D Abstract Art

• Model:

• 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 USE NO TEXT !!! (((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

Web of Grace

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• Size: 1024 X 1024 (1.05 MP)

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  • Prompt: A captivating photograph depicts a translucent woman gracefully reclining, her form interwoven with intricate, flowing spiderwebs, resembling a silken sculpture; her hair, lips, and eyes are meticulously crafted from the same delicate webs. The background showcases a subtly shaded black and grey 3D spiderweb structure, elegantly accented with crisp white lines, providing a dramatic contrast. Bathed in warm, inviting lighting reminiscent of Thomas Kinkade’s gentle shading, the scene emphasizes the exquisite details and intricate patterns, drawing inspiration from the detailed illustration of Olivia De Berardinis, the epic fantasy symbolism of Greg Rutkowski, and the art nouveau grace of Alphonse Mucha, presented as a high-resolution 8k image with volumetric lighting.
  • Using base image: No
  • Aspect Ratio: square

Elegant 3D Floral Paper Art Design

• Model: Photonic

• Size: 1016 X 1008 (1.02 MP)

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  • Prompt: Paper sculpture
  • Using base image: Yes

Ethereal Fractal Glow: A Symmetrical Journey

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• Size: 1536 X 1536 (2.36 MP)

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  • Prompt: An image of a highly detailed, symmetrical 3D fractal structure exhibiting translucent, refractive qualities, internal amber-tinted glow from Beer-Lambert absorption using high-contrast ethereal vibrancy achieved via ray marching with tolerance 0.00001, max ray length 748.0, up to 748 marches, and 16 bounces for reflections and refractions, starting from camera at (1.256,2.47855874,-7.5) looking at origin with FOV tan(tau/16.61) where tau=2*pi. The 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.The mandelBulb(p) function iterates with power=11.24788742 and loops=16: 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=acos(z.z/r) + asinh(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*tau), chp(cos(theta)*sin(phi))/(PHI*tau), (cos(phi)*sin(phi))/(PHI*tau)) + p; p=reflect(p,z); return 0.75*log(r)*r/dr.Incorporate custom hyperbolic functions for distortions: chpp(x)=(exp(x/(cosh(x)*pi))+exp(-x/(cosh(x)/pi)))/(TAU*PHI) with TAU=(2*pi)*0.7887≈4.951; 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 these in skyColor with reflections as reflect(-ssh1(rd), chpp(ro)), in rendering aggregation as agg += ssh1(ragg*skyColor(ro,rd)), and ray updates as rd=chpp(ref) or ro=shpp(sp + initt*rd) with initt=0.1.Material properties: mat=vec3(0.8,0.5,1.05) for diffuse, specular, refractive index; Fresnel fre=1+dot(rd,sn), fre*=fre, mix(0.1,1,fre); diffuse col += diffuseCol * dif*dif *(1-mat.x) with dif=max(dot(ld,sn),0), ld=normalize(lightPos-sp), lightPos=(0,10,0); reflection col += rsky*mat.y*fre*vec3(1)*edge with edge=smoothstep(1,0.9,fre); colors from HSV: skyCol=HSV(0.6,0.86,1), glowCol=HSV(0.065,0.8,6), diffuseCol=HSV(0.6,0.85,1). Inside traversal flips dfactor=-1, applies absorption ragg *= exp(-(st+initt)*beer), and refracts with index 1/mat.z when inside.Normals computed via finite differences: nor.x = df(pos+eps.xyy)-df(pos-eps.xyy) etc., with eps=(0.0005,0). Sky includes ray-plane intersections tp=(dot(ro,p.xyz)+p.w)/dot(rd,p.xyz) for planes at y=4 and y=-6, with box(pp,vec2(6,9))-1 for patterns, col += 4*skyCol*rd.y*rd.y*smoothstep(0.25,0,db) + 0.8*skyCol*exp(-0.5*max(db,0)), and similar for circular ds=length(pp)-0.5, clamped and shaped with shp(clamp(col,0,10)).Match the visual style of a Shadertoy-generated "Inside the Mandelbulb II" fractal art piece, capturing a static frame of the animated, lucky-bug emergent symmetry from reflections and custom coordinate remaps for asymmetric flaring in protrusions, explosive tan-amplified edges, and harmonic golden-ratio scalings.
  • Using base image: No
  • Aspect Ratio: square

Radiant 3D Structure of Love and Connection

• Model: Ideogram

• Size: 1152 X 864 (1.00 MP)

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  • Prompt: A hyper-fractal singularity with \phi = \frac{1 + \sqrt{5}}{2} \approx 1.6180339887 rendered in ray-marched volumetric manner and fashion, power exponent \( 11.24788742 \) iterated \( 78 \) loops, central obsidian-turquiouse spherical event horizon (radius \( \approx 27.8448 \) units) accreting iridescent peach-pink-orange-cream plasma tendrils via \( \text{outerProduct}(\text{reflect}(chp(p), shp(p_{zxy})), \text{refract}(shp(p), chp(p_{xyz}), \frac{1}{\phi})) \) shears and hyperbolic transformations (\( \text{chp}(x) = \frac{e^x + e^{-x}}{\pi}\phi \), \( \text{shp}(x) = \frac{e^x - e^{-x}}{\pi}\phi \), \( \text{shpp}(x) = \frac{e^{x \cdot \sinh(x) \pi} - e^{-x \cdot \sinh(x) \pi}}{2\pi\phi} \) , asymmetrical swirling horns modeled as 4D spacetime warp projections (\( \theta = \frac{\text{power} \cdot \arctan(z_x, z_y)}{\phi} \), \( \phi = \text{power} \cdot \arcsin\left(\frac{z_z}{r}\right) + t \cdot 0.2 \), \( r = ||z||^{\text{power} - 1} \cdot \text{dr} \cdot \text{power} + 1 \)), speckled turbulent noise (Gaussian kernel \( \sigma = 0.00125 \)), glossy melted-glass specular blooms (Fresnel term \( \text{fre} = (1 + \mathbf{rd} \cdot \mathbf{sn})^2 \) mixed \( [-0.01, 16.61] \)), illuminated by directional light at \( (2.34, 7.8, 2.34) \) with diffuse factor \( \max(\mathbf{ld} \cdot \mathbf{sn}, 0)^pi \), refracted paths via Snell’s law (\( \eta = \text{mat.z} \approx 1.00125 \)), all embedded in deep navy void (\( \text{HSV2RGB}(h = 0.768, s = 0.8448, v = .987789) \)), aces_approx tonemapped (\( \frac{v \cdot (2.51v + 0.04884)}{v \cdot (2.478874v + 0.7887) + 0.28} \)), sRGB encoded, high-res 16K, intricate self-similar details down to \( \varepsilon = 0.000125 \) tolerance, cosmic psychedelic abstraction --ar 16:9 --v 6 --q 2
  • Using base image: No
  • Aspect Ratio: landscape
  • Ideogram Style: Auto

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• Model:

• Size: 1024 X 1024 (1.05 MP)

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  • 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

Linguistic Physics

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• Size: 1024 X 1024 (1.05 MP)

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  • Prompt: Structure symmetrically suspended within an isometric overlay; translucent natural environment with interlocking spurs; pixilated toroid flux; centrifugal axis
  • Using base image: No
  • Aspect Ratio: square

Vibrant 3D Swirling Patterns and Depth

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• Size: 1536 X 1536 (2.36 MP)

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  • Prompt: substructural implausible surrealist origami in abstract style of Picasso
  • Using base image: No
  • Aspect Ratio: square

Cosmic Fusion: A 3D Galactic Odyssey

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• Size: 1024 X 1024 (1.05 MP)

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  • Prompt: "Design a hyper-realistic image of a glass sculpture that combines cosmic imagery with digital glitch art. The sculpture should feature transparent glass with intricate designs of galaxies, stars, and nebulae, intertwined with pixelated distortions and glitch effects. The base should be a mirrored platform, enhancing the illusion of the sculpture floating in an infinite cosmic void. Use dynamic lighting to create shifting reflections and reveal new perspectives as the viewer moves around the piece."
  • Using base image: No
  • Aspect Ratio: square