First Calculus Supplementary Material, Book IV: Monorgs Biorgs — Colour Geometry: the codon square and the codon triple; particle triads (monorgs) and genetic triads (biorgs)

Supplementary Material to the First Calculus — Book IV: Monorgs and Biorgs develops the colour-geometric core of the First Science Project. It introduces the H-diagram as a first-class theoretical object and fixes the four fundamental bigendered dyads {ε, j, i, η} in positional (Red, Green, Blue, White) form. Codons are redefined as concrete coloured dyadic geometries rather than linear strings, and the 64 possible triplets are shown to exhaust the space of triadic assignments over the four-dyad alphabet.

The volume establishes:

• the diagrammatic discipline required by First-Classness (FC),
• the mapping between ontological gender (toBe / toHave) and dyadic orientation,
• the balance relation j − ε + i = η as structural constraint,
• the involutive mirror (anti-codon) operation as geometric reversal,
• the concept of spacelets as FC-complete conformal entities, and
• the interpretive fork between monorg (self-subsisting system) and biorg (biological system) readings.

Book IV functions as the geometric hinge of the series. It connects the ontological foundations developed in earlier volumes to both biological codon structure and particle-triad (monorg) structure. The work is entirely non-abstract in method: diagrams are definitional, not illustrative; colour is positional rather than intrinsic; and degeneracy is treated as structured multiplicity rather than redundancy.

This volume provides the formal and geometric machinery upon which subsequent developments in genetic-code foundations and monorg physics depend.