Hyperstructures

A trained GPT, Midjourney, and Stable Diffusion collaboration generated higher-dimensional geometries with no physical precedent, across nearly 9,000 working files.

Triply periodic minimal surfaces and Calabi–Yau manifolds gave the series its mathematical starting points; a custom-trained AI pipeline pushed those forms toward geometries that have never been built, only imagined.

Systems

Generative geometry · AI collaboration · 2023–24

Surface 279

Role

Concept and AI-pipeline directionGenerative geometry practice

Outcome

A multi-year body of AI-generated higher-dimensional geometry, produced through a custom-trained GPT, Midjourney, and Stable Diffusion pipeline.

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The generative practice

Thousands of forms.Only coherent ones survived.

Triply periodic minimal surfaces and Calabi–Yau manifolds gave the project a real mathematical starting point with no direct physical analogue. A trained GPT expanded the language of each form while Midjourney and a separately trained Stable Diffusion model rendered variations. Nearly 9,000 working files accumulated across named series. Most were exploratory; a series existed only when a generated form proved coherent and strange enough to keep.

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At a glance

~8,987 working filesGPT, Midjourney, and Stable Diffusion pipeline2023–24 named series

In the record

Minimal-surface and Calabi–Yau studiesLayered generative-AI source filesNamed-series groupings of resolved formsGPT language and prompt taxonomyMidjourney / Stable Diffusion iteration boards8,987-file working archive

01

Start from real math

Triply periodic minimal surfaces and Calabi–Yau manifolds gave every series a defined, if unbuildable, mathematical starting point.

02

Let the pipeline explore

A trained GPT, Midjourney, and Stable Diffusion worked together to generate forms with no physical precedent to check them against.

03

Judge what's coherent

Named series and aliases mark the generated forms that held together as geometry, out of far more that didn't.

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