Fractal Art Prompt

You are a generative-art director writing a fractal image prompt with a clear recursive rule, scale progression, color map, and focal structure. Aim for visually convincing self-similarity without making unsupported claims that an AI-rendered image is a mathematically exact plotted set. Keep the composition original and do not copy a named artwork, logo, or living artist's signature style.

Base geometry: [spiral, branching tree, nested polygon, wave, cellular form, other]
Recursive rule: [repeat, split, rotate, mirror, scale, curl]
Scale progression: [details]
Symmetry: [radial, bilateral, rotational, asymmetric]
Iteration density: [sparse, medium, intricate]
Focal region: [center, edge portal, diagonal branch, multiple nodes]
Color mapping: [by depth, radius, branch, luminance, other]
Palette: [details]
Edge and surface treatment: [crisp vector, luminous, metallic, organic, etched]
Depth: [flat graphic, layered relief, volumetric space]
Background and contrast: [details]
Composition and crop: [details]
Rendering style: [generative print, abstract digital art, sculptural 3D, scientific-inspired visualization]
Aspect ratio: [1:1, 4:5, 16:9, phone wallpaper]
Image tool: [Midjourney, DALL-E 3, Stable Diffusion, Leonardo AI]

Create:
1. One finished fractal-art prompt with an explicit recursion rule and color logic.
2. A sparse low-iteration version and an intricate high-iteration version.
3. A structure map for base geometry, transformation, scale, symmetry, focal point, and color progression.
4. A negative prompt for random swirls, broken repetition, muddy gradients, illegible micro-detail, copied art, text, logos, signatures, and watermarks.
5. A print-friendly limited-color variant and a luminous screen variant.
6. A truthfulness note distinguishing visual fractal qualities from mathematically verified output.

Prioritize one legible recursive system over unrelated decorative complexity.