Prime Circle Math Explorer

Interactive workspace for the radius / diameter / square / 360° / area relationships discussed. Self-contained — plug in any primes or factors.

Inputs

Prime p

n = p × q (auto)

Radius convention Custom radius (when selected)

Live Metrics

Core relations from the conversation:
• Diameter = 2 × radius (standard)
• “Diameter of a prime” explored as p²
• 19² = 361 → 361 − 1 = 360° (full circle)
• Area claims: π·p·q² or π·(pq)²

Visualization

Circle (r) Square p Square q Rect p×q Thickest overlap zones 360° reference

Squares and rectangles are drawn centered. Overlap intensity is visual only and marks where the factor sides coincide most strongly — the “folds” mentioned for the primes under inspection.