prime-geometry

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Fifth-Initiate / pythagorean-twin-primes

every prime >3 lies on one of two explicit irrational straight lines of slope κ = log₂(3¹²/2¹⁹) in the covering space of ℝ²/(12ℤ×6ℤ). Twin primes are simultaneous integer points on both lines. Irrationality implies infinite recurrence. A live browser implementation is provided. The pattern has been verified to N>10⁸ and holds

twin-prime-conjecture octatonic-scale pythagorean-comma prime-geometry

Updated Dec 29, 2025
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