Futuristic 3D Render of Translucent Icosahedron Design

Ethereal Geometric Structure in Cosmic Void

Artist
Boris Krum...
DDG Model
AIVision
Mode
Ultra
Access
Public
Created
4h ago
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- Info
  Ethereal Geometric Structure in Cosmic Void
  
  Model: AIVision (Ultra)
  
  Size: 2560 X 1440 (3.69 MP)
  
  Used settings:
  
  Prompt: Highly detailed, photorealistic ray-traced 3D render of the **great stellated dodecahedron** (Kepler-Poinsot polyhedron, Schläfli symbol \(\{ \frac{5}{2}, 3 \}\)), a nonconvex regular star polyhedron with 12 regular pentagrammic faces \(\{5/2\}\), 30 edges, 20 vertices (three pentagrams meeting at each vertex), Euler characteristic \(\chi = 20 - 30 + 12 = 2\), central density 7, dihedral angle \(\arccos(\sqrt{5}/5) \approx 63.435^\circ\). ### Vertex Coordinates Vertices (shared with regular dodecahedron, golden ratio \(\phi = \frac{1 + \sqrt{5}}{2}\), \(\phi^{-1} = \phi - 1 = \frac{\sqrt{5} - 1}{2}\)) are all sign combinations and cyclic permutations of: - \((0, \pm \phi^{-1}, \pm \phi)\) - \((\pm 1, \pm 1, \pm 1)\) Scaled for appropriate edge length (e.g., circumradius \(\approx 0.795\) or normalized), forming sharp pyramidal spikes at vertices. ### Rendering Style Render as a transparent crystalline blue-tinted glass object (refractive index \(\approx 1.5\)), with strong volumetric caustics, internal refractive sparkles, dotted light patterns, and radial starbursts from intersecting pentagrammic planes and density-7 windings. ### Visual Details High subsurface scattering, glowing internal refractions creating complex overlapping star patterns and bubbles of light, subtle blue color gradient (deeper cyan in core), sharp faceted edges, dramatic specular highlights. ### Background and Composition Pure black background, close-up centered view emphasizing symmetry along a 3-fold axis, realistic physics-based lighting with soft point lights to enhance internal glow and caustics, ultra-high resolution, intricate depth and transparency like fine crystal art. Alternatively, interpret as a 3D perspective projection from the 4D great grand stellated 120-cell \(\{ \frac{5}{2}, 3, 3 \}\), using vertices scaled from 600 4D points involving \(\phi\) (e.g., even permutations of \((0, 0, \pm 2, \pm 2)\), \((\pm \phi, \pm \phi, \pm \phi, \pm (\phi-2))\), etc.), projected via \(t = \frac{d}{d - w}\) onto 3D hyperplane for added internal complexity, matching the crystalline spiky appearance with refractive depth.
  
  Using base image: No
  
  Aspect Ratio: landscape_wide
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Prompt: Highly detailed, photorealistic ray-traced 3D render of the **great stellated dodecahedron** (Kepler-Poinsot polyhedron, Schläfli symbol \(\{ \frac{5}{2}, 3 \}\)), a nonconvex regular star polyhedron with 12 regular pentagrammic faces \(\{5/2\}\), 30 edges, 20 vertices (three pentagrams meeting at each vertex), Euler characteristic \(\chi = 20 - 30 + 12 = 2\), central density 7, dihedral angle \(\arccos(\sqrt{5}/5) \approx 63.435^\circ\). ### Vertex Coordinates Vertices (shared with regular dodecahedron, golden ratio \(\phi = \frac{1 + \sqrt{5}}{2}\), \(\phi^{-1} = \phi - 1 = \frac{\sqrt{5} - 1}{2}\)) are all sign combinations and cyclic permutations of: - \((0, \pm \phi^{-1}, \pm \phi)\) - \((\pm 1, \pm 1, \pm 1)\) Scaled for appropriate edge length (e.g., circumradius \(\approx 0.795\) or normalized), forming sharp pyramidal spikes at vertices. ### Rendering Style Render as a transparent crystalline blue-tinted glass object (refractive index \(\approx 1.5\)), with strong volumetric caustics, internal refractive sparkles, dotted light patterns, and radial starbursts from intersecting pentagrammic planes and density-7 windings. ### Visual Details High subsurface scattering, glowing internal refractions creating complex overlapping star patterns and bubbles of light, subtle blue color gradient (deeper cyan in core), sharp faceted edges, dramatic specular highlights. ### Background and Composition Pure black background, close-up centered view emphasizing symmetry along a 3-fold axis, realistic physics-based lighting with soft point lights to enhance internal glow and caustics, ultra-high resolution, intricate depth and transparency like fine crystal art. Alternatively, interpret as a 3D perspective projection from the 4D great grand stellated 120-cell \(\{ \frac{5}{2}, 3, 3 \}\), using vertices scaled from 600 4D points involving \(\phi\) (e.g., even permutations of \((0, 0, \pm 2, \pm 2)\), \((\pm \phi, \pm \phi, \pm \phi, \pm (\phi-2))\), etc.), projected via \(t = \frac{d}{d - w}\) onto 3D hyperplane for added internal complexity, matching the crystalline spiky appearance with refractive depth.

Prompt

Highly detailed, photorealistic ray-traced 3D render of the **great stellated dodecahedron** (Kepler-Poinsot polyhedron, Schläfli symbol \(\{ \frac{5}{2}, 3 \}\)), a nonconvex regular star polyhedron with 12 regular pentagrammic faces \(\{5/2\}\), 30 edges, 20 vertices (three pentagrams meeting at each vertex), Euler characteristic \(\chi = 20 - 30 + 12 = 2\), central density 7, dihedral angle \(\arccos(\sqrt{5}/5) \approx 63.435^\circ\). ### Vertex Coordinates Vertices (shared with regular dodecahedron, golden ratio \(\phi = \frac{1 + \sqrt{5}}{2}\), \(\phi^{-1} = \phi - 1 = \frac{\sqrt{5} - 1}{2}\)) are all sign combinations and cyclic permutations of: - \((0, \pm \phi^{-1}, \pm \phi)\) - \((\pm 1, \pm 1, \pm 1)\) Scaled for appropriate edge length (e.g., circumradius \(\approx 0.795\) or normalized), forming sharp pyramidal spikes at vertices. ### Rendering Style Render as a transparent crystalline blue-tinted glass object (refractive index \(\approx 1.5\)), with strong volumetric caustics, internal refractive sparkles, dotted light patterns, and radial starbursts from intersecting pentagrammic planes and density-7 windings. ### Visual Details High subsurface scattering, glowing internal refractions creating complex overlapping star patterns and bubbles of light, subtle blue color gradient (deeper cyan in core), sharp faceted edges, dramatic specular highlights. ### Background and Composition Pure black background, close-up centered view emphasizing symmetry along a 3-fold axis, realistic physics-based lighting with soft point lights to enhance internal glow and caustics, ultra-high resolution, intricate depth and transparency like fine crystal art. Alternatively, interpret as a 3D perspective projection from the 4D great grand stellated 120-cell \(\{ \frac{5}{2}, 3, 3 \}\), using vertices scaled from 600 4D points involving \(\phi\) (e.g., even permutations of \((0, 0, \pm 2, \pm 2)\), \((\pm \phi, \pm \phi, \pm \phi, \pm (\phi-2))\), etc.), projected via \(t = \frac{d}{d - w}\) onto 3D hyperplane for added internal complexity, matching the crystalline spiky appearance with refractive depth.

More about Ethereal Geometric Structure in Cosmic Void

A highly detailed render of a complex geometric structure, resembling an intricate icosahedron or dodecahedron, suspended in a dark, ethereal void. The structure is composed of transparent, ice-blue crystalline facets and struts, interconnected by numerous polished metallic spheres that reflect warm, glowing light sources from within and around the structure. The core of the object emits a vibrant, concentrated blue light that radiates outwards, illuminating the interior network of fine lines and smaller, sparkling spheres. Some of the metallic spheres on the exterior also appear to have tiny, sparkling patterns or embedded lights, creating a sense of advanced technology or otherworldly energy. The overall aesthetic is futuristic, scientific, and almost mystical, with a strong interplay of light and shadow, and precise, symmetrical geometry. The background is a gradient of deep blues and blacks, accentuating the luminescence of the central object.