GRM Open Usage Framework v1.0
Welcome to the GRM Usage Framework page.
Here you’ll find the official licensing and usage terms for the Geometric Ratio Model (GRM) and its derived units, SPU (perimeter), SAU (area), and SVU (volume).
The GRM replaces irrational constants like π with dimensionally consistent, fixed ratios for inscribed geometric shapes. This framework defines how the GRM may be used in AI systems, educational tools, software development, CAD workflows, scientific research, and more.
What you can do — At a clance
| Use Type | Allowed? | Conditions |
|---|---|---|
| Education & Teaching | ✅ Yes | Free to use with attribution |
| Scientific Research | ✅ Yes | Open use with source citation |
| Non-commercial AI Use | ✅ Yes | Allowed in prompts, prototypes, or experiments |
| Commercial Software / Tools | ⚠️ With permission | Requires license + attribution |
| API / SaaS Integration | ⚠️ With permission | License + embedded or visible attribution |
| Training AI Models (LLMs, etc.) | ⚠️ With explicit approval | Written permission required |
| Derivative Models or Works | 🟡 Case-by-case | Must preserve core GRM logic and attribution |
ℹ️ Attribution Required:
“Based on the Geometric Ratio Model (GRM), developed by M.C.M. van Kroonenburgh – https://inratios.com“
Core Conditions
- GRM ratios (e.g., 0.7854 SPU for a circle in a square) may only be used when the geometric shape is perfectly inscribed, unless otherwise stated.
- Misuse or distortion of GRM principles is not allowed.
- GRM is not a physical measurement standard and should be applied accordingly.
The Full Framework
For full legal and technical terms:
(Issued 19 May 2025 · Registered i-Depot nr. 151927 · CC BY-NC-SA 4.0)
Licensing or commercial Use?
This document is released under a dual license:
- Primary license: Custom usage terms defined in the PDF (v1.0)
- Open license layer:
Creative Commons Attribution–NonCommercial–ShareAlike 4.0
(CC BY-NC-SA 4.0)
If you’re planning to integrate GRM in commercial tools, APIs, or training environments:
Contact: info@inratios.com
About the Author
The GRM is an original model developed by M.C.M. van Kroonenburgh, MSc, and is part of an ongoing applied science initiative to create logic-based alternatives for classical geometric measurement.
Learn more via inratios.com or explore the GRM-GPT assistant.
Ready to use GRM in your tool or model? Make sure you understand the framework, and let us know how you apply it. Together, we shape the next dimension of measurement.