The Geometric Ratio Model

Welcome to INRATIOS – where proportion becomes insight.

This section of the website introduces the Geometric Ratio Model (GRM), an original mathematical framework developed by M.C.M. van Kroonenburgh. At its core, the model redefines how we understand shape, structure, and dimensional relationships, offering a clear, consistent alternative to traditional irrational constants like π.

Here you’ll find the complete concept, its geometric foundations, practical applications, and downloadable resources. Whether you’re a designer, educator, coder, or thinker, the GRM invites you to explore form through a new lens.

Explore the links below to dive deeper into the model, view diagrams, access the full whitepaper, or get in touch.

Explore the the Geometric Ratio Model:

• Official Pitch – Geometric Ratio Model
• Whitepapers
  • GRM Foundations
    • Whitepaper 1 – Geometric Ratio Model
    • Whitepaper 2 – The role of the radius in the Geometric Ratio Model (GRM)
    • Whitepaper 3 – GRM as a Digital Geometry Paradigm
    • Whitepaper 4 – Applying Fixed-Ratio Logic to Enclosed Non-Circular Shapes
    • Whitepaper 5- Volume Estimation Without Displacement
  • GRM Efficiency Series
    • Whitepaper E-I – The Geometry of Intelligence
• Application Proposals
  • Shape Recognition in AI systems – Proposal for an application of the Geometric Ratio Model (GRM)
  • Pixel-Based Ratio Measurement with the GRM Model
  • Proportional Design with the GRM
  • Classification Tolerance and Deviation Handling in GRM-Based Shape Analysis
  • Natural Fit Ratio in Visual Composition with GRM
• Articles & Insights
• Tools & Applications of GRM
  • 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 & Schema
• Visual Impact (Examples)
• Copyright & Licensing

“GRM – Clarity in complexity. Structure in space. Ratio with reason.”