Emergence of Platonic Solids from Minimal Rules

This technical note summarises the ISL Constraint Geometry framework presented by Bhosale (2026) in the open-source repository Fundamental-Shapes-of-Reality. The work proposes a first-principles derivation — framed as a minimisation problem over four closure layers — that recovers the exact count of regular geometric solids in each spatial dimension (0D through 5D+). The framework is reproducible via three Python scripts and makes a small set of sharp quantitative predictions, including the fine-structure constant α⁻¹ ≈ 137.036 and a candidate dark-matter excitation near 1.1 TeV.