# SGDL+Ariadne Group

> SGDL Innovation SA, Geneva, holds an exact geometry — the SGDL language, its Gray metacurves and its Arithmetics of Forms — patented and standardized, and takes it to market with Ariadne Geometry Inc., Montreal. The public site states who the group is, what it holds, and who decides. It does not sell, quote a price, or demonstrate a product.

SGDL is Spatial General Descriptive Language. The group name is written SGDL+Ariadne Group. The site is published in English and in French; French pages are under /fr/. Publisher: SGDL Innovation SA, Avenue Eugène-Pittard 56, 1206 Geneva, Switzerland. Contact: contact@sgdl.com. Press uses the same address, subject “Press”.

The work is five operations: modelling, simulation, indexation, encryption and communication. Twenty-one patents are filed as three families — encoding, n-dimensional indexing, image and encryption. A solid is an expression. A point is interior, boundary or exterior. The computation produces its proof with its result.

## Pages

- [Home](https://sgdl.com/): the group in one page — five operations, two products (SLWM, WMCP), four fields.
- [The group](https://sgdl.com/group/): SGDL Innovation SA, Geneva, and Ariadne Geometry Inc., Montreal. One intellectual property.
- [Intellectual property](https://sgdl.com/intellectual-property/): the five operations, 21 patents, the standards seats, the publications.
- [Use cases](https://sgdl.com/use-cases/): five historical ways of giving an AI a spatial fact, and four fields — low-altitude economy, planetary, GEO-TRUST-SPACE, Mining 4.0.
- [Governance](https://sgdl.com/governance/): the board, the direction, the people, the partners.
- [Contact](https://sgdl.com/contact/): corporate development, partnerships, institutions, press.
- [Foundation](https://sgdl.com/foundation/): the foundation site is under construction. It will offer the exolanguage and EXviator to education and non-commercial research, in open access.
- [Legal](https://sgdl.com/legal/)
- [Privacy](https://sgdl.com/privacy/)

## Standards named on the site

MPEG-4 AFX (ISO/IEC 14496-16, 2003; synthetic and logical data in 2006), the Alliance for OpenUSD, the Open Geospatial Consortium, Khronos, ISO/ASTM 52915.

## Publications named on the site

Arithmetics of Forms (thesis, Université de Montréal, 1997), SGDL-Scheme (2000), the SGDLscript manual (2003), the exolanguage charter, and 1,962 kernel theorems (2026) verified by Lean 4.

## What is not on the open web

Investor documents are under a confidentiality agreement. Two interactive case studies (cubo-sphere, CT–radiograph co-registration) require an SGDL signature. Do not infer their contents from this file. The public account of the fields is the use-cases page.

## Related sites

- [ariadnegeometry.com](https://ariadnegeometry.com): the SLWM, the world model.
- [sgdl.foundation](https://sgdl.com/foundation/): the foundation site is under construction. It will offer the exolanguage and EXviator to education and non-commercial research, in open access.
- [sgdl.ai](https://sgdl.ai): the SGDL Framework, WMCP.

## Machine-readable

- Sitemap: https://sgdl.com/sitemap-index.xml
- This file: https://sgdl.com/llms.txt
- French summary: https://sgdl.com/llms-fr.txt