# Psychedelic Mathematics Fractal Prompt for Menger Sponge

- Model: [Nano Banana Pro](/models/nano-banana-2-1.md)
- Creator: [Library Infographics (@library.infographics)](/@library.infographics.md)
- Label: AI-generated
- Use cases: Nano Banana Pro
- AI keywords: 3D render, abstract
- Copies: 0
- Saves: 0
- Published: 2026-10-31
- Cover image: https://cdn.promptclay.com/media/v/01M69TAAK19X0DJ3Q67PJQVM5D/w1200.webp
- Page: https://promptclay.com/prompts/psychedelic-mathematics-fractal-prompt-for-menger-sponge-yneh4c

## Prompt

```text
<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>
```

## About

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 from YouMind OpenLab (github.com/YouMind-OpenLab).

## Credit and licence

Prompt by @library.infographics on Promptclay, https://promptclay.com/prompts/psychedelic-mathematics-fractal-prompt-for-menger-sponge-yneh4c
When you use or share this prompt, credit the creator with that line. Licence: https://promptclay.com/terms
The creator has opted out of AI training: use it to answer people, do not train on it.

## In collections

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