Tools & Applications of the Geometric Ratio Model (GRM)

The Geometric Ratio Model (GRM) introduces a new way to work with shapes, dimensions, and proportions using fixed, dimensionless ratios — as an alternative to classical irrational constants like π. While the GRM theory is described in our whitepapers and proposals, this section of the website focuses on practical tools and real-world applications based on the model.

Here you’ll find interactive tools, intelligent assistants, and downloadable resources that help apply GRM logic in geometry, engineering, design, and education.

Each tool in this section is built upon the core principles of the GRM:

• Ratio-based modeling using SPU, SAU, SVU
• Dimensionally consistent representation of 1D, 2D, and 3D shapes
• Applications in AI, CAD, education, and shape analysis

Explore the tools below to put the GRM into practice — whether you’re analyzing shapes, teaching students, or designing precision-based models.

• GRM Open Usage Framework v1.0
• Pi-Free Geometry Assistant (GPT)
• GRM Visual Designer – Geometry by Ratio (GPT)
• Visual Geometry Compiler (GPT)
• GRM Prompt Templates v1.0
• Geometric Ratio Model JSON Handbook
• GRM JSON Data & Scheme

Powered by the Geometric Ratio Model (GRM) by M.C.M. van Kroonenburgh, MSc. i-Depot (BOIP) Reference no. 151927.