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Psychedelic Mathematics Fractal Prompt for Menger Sponge

A complex, multi-part instruction prompt designed to visualize the mathematics of a fractal set, specifically the Menger sponge. The prompt sets the scene on an 1980s drafting table where the fractal equation's ink spirals into a 3D geometric rendering, illuminated by neon computer monitor glow.

Prompt

<instruction> Role: Act as a Mathematician and Architect.
Input:[fractal set]. Analysis: The fractal set, infinite recursion, coastlines, ferns, every aspect Goal: A drafting table where the math spirals into infinity. Rules: Base: Graph paper and heavy computers from the 1980s. Transformation: The equation for the fractal is written on the page. The ink from the equation is spiraling up into a 3D fractal set relevant to the input. Scale: Macro shot, implying infinite detail. Details: The tip of the pen is touching the paper, and the ink flow is already branching infinitely. Lighting: Neon computer monitor glow reflecting off the glossy ink. Output: Psychedelic mathematics, sharp geometric rendering. </instruction>

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Prompt source
Author
Gadgetify
Updated
Jan 7, 2026
Source
X Post
Try upstream
License

CC BY 4.0. Prompt pages keep the original attribution and source links from the upstream gallery records stored in the database.

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Psychedelic Mathematics Fractal Prompt for Menger Sponge | Nano Banana Pro Prompt