# Scientific Theory Visualization: 2D to 3D Extrusion

- Model: [Nano Banana Pro](/models/nano-banana-2-1.md)
- Creator: [Library Infographics (@library.infographics)](/@library.infographics.md)
- Label: AI-generated
- Use cases: 3D render
- Copies: 0
- Saves: 0
- Published: 2026-10-31
- Cover image: https://cdn.promptclay.com/media/v/01M69T9B1MKYK6SNFRXB55N72Y/w1200.webp
- Page: https://promptclay.com/prompts/scientific-theory-visualization-2d-to-3d-extrusion-dmhvzn

## Prompt

```text
<instructions> do this for {scientific_concept}
  Input Variable:   [{formula_type}]
Phase 1: Schematic Decomposition
Analyze the Notation: Identify the primary visual language of the scientist (Chalk on blackboard? Ink on parchment? Pencil on graph paper?).
Identify the "Structure": If this theory were a building, what would it look like?
Logic: Chaos Theory -> Fractal Spire. Thermodynamics -> Engine Block.
Phase 2: The Dimensional Transition
The Base: A flat surface covered in the [Notation Medium] (e.g., a slate blackboard covered in chalk equations).
The Extrusion: The chalk lines physically lift off the surface. They begin as white wireframes, then gain opacity, then gain texture.
The Climax: At the top of the image, the wireframes have fully solidified into a photorealistic, impossible structure representing the theory.
The Observer: A tiny, scale-model figure of the scientist stands on the flat "2D" section, looking up in awe at the massive "3D" structure they have summoned.
Output: High-Angle Isometric, "Architectural Visualization" style, stark contrast between sketchy lines and solid mass.
</instructions>
```

## Variables

Replace each `{variable}` before you paste the prompt.

| Variable | Label | Example |
|---|---|---|
| `{scientific_concept}` | scientific concept | black holes |
| `{formula_type}` | formula type | Theorem / Formula |

## About

A complex, multi-phase prompt designed to visualize abstract scientific theories (like black holes) by transitioning from 2D notation (chalkboard equations) to a photorealistic, impossible 3D architectural structure. It specifies an isometric, high-angle view and includes a tiny scientist figure obs

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

## Credit and licence

Prompt by @library.infographics on Promptclay, https://promptclay.com/prompts/scientific-theory-visualization-2d-to-3d-extrusion-dmhvzn
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

- [3D Prompts](/3d-prompts.md): 3D prompts for AI images: clay renders, glossy figures, isometric scenes and toy-style characters (https://promptclay.com/3d-prompts)
- [Render Prompts](/render-prompts.md): Render prompts: 3D product renders, architectural visualisations, clay models and glossy CGI scenes (https://promptclay.com/render-prompts)

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