GRM Open Usage Framework v1.0
Welcome to the GRM Open Usage Framework
This page contains the official usage and licensing terms for the Geometric Ratio Model (GRM) and its derived units:
SPU (perimeter), SAU (surface area), and SVU (volume).
The GRM replaces irrational constants such as π with dimensionally consistent fixed ratios for perfectly inscribed geometric shapes. This framework defines how GRM may be used in AI systems, educational tools, software development, CAD workflows, scientific research, and related applications.
Official registration: i-Depot (BOIP). Reference no. 151927 (May 10, 2025).
What you can do (at a glance)
| Use type | Allowed? | Conditions |
|---|---|---|
| Education and teaching | ✅ Yes | Free to use with attribution |
| Scientific research | ✅ Yes | Open use with source citation |
| Non-commercial AI use | ✅ Yes | Allowed in prompts, prototypes, and experiments |
| Commercial software or tools | ⚠️ With permission | License required + attribution |
| API or SaaS integration | ⚠️ With permission | License required + embedded or visible attribution |
| Training AI models (LLMs, diffusion models, OCR, etc.) | ⚠️ With explicit written approval | Written permission required |
| Derivative models or derived frameworks | 🟡 Case-by-case | Must preserve GRM logic and attribution |
Attribution required
If you use GRM, attribution is required in documentation, publications, repositories, or user-facing product pages:
“Based on the Geometric Ratio Model (GRM), developed by M.C.M. van Kroonenburgh, MSc, https://inratios.com“
Core conditions
- Inscription rule
Canonical GRM ratios (for example for the inscribed circle or sphere) apply only when the shape is perfectly inscribed in the bounding square or cube, unless explicitly stated otherwise. - No distortion of GRM logic
Misuse, distortion, or misrepresentation of GRM principles is not allowed. - Not a physical measurement standard
GRM is a proportional geometry model. It is not a replacement for physical metrology standards and should be applied accordingly.
The full framework (PDF)
The complete legal and technical terms are defined in:
GRM Open Usage Framework v1.0 (PDF)
Issued: 19 May 2025
Registered: i-Depot (BOIP) Reference no. 151927
If there is any conflict between this web summary and the official PDF, the PDF terms prevail.
License structure
This framework is released under a dual-layer license:
1) Primary license (official terms)
The primary usage terms are defined in the PDF:
GRM Open Usage Framework v1.0
2) Open license layer (non-commercial public use)
This web summary and the public GRM framework description are shared under:
Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
This means you may share and adapt the text for non-commercial purposes, as long as attribution is provided. Any commercial use requires explicit permission.
Licensing or commercial use
If you plan to integrate GRM into commercial tools, APIs, SaaS platforms, or AI training environments, please contact:
About the author
The Geometric Ratio Model (GRM) is an original model developed by M.C.M. van Kroonenburgh, MSc, as part of an applied science initiative to introduce structure-based alternatives to classical geometric measurement.
Learn more via inratios.com, or explore the GRM assistant and related application proposals.
Ready to use GRM?
If you are working on a research project, prototype, or educational tool and want to apply GRM correctly, feel free to reach out. Collaboration is welcome.
Powered by the Geometric Ratio Model (GRM) by M.C.M. van Kroonenburgh, MSc. i-Depot (BOIP) Reference no. 151927.