PFT — Gauss–Prime–Fibonacci Duplex Cylinder (Interactive)

Layers Show primes (blue 6k−1, red 6k+1) Show Gauss sum chords (per row) Show Fibonacci points φ-helix through Fibonacci set Highlight multiples of 3 (gray)

Show hex-void map Show radial spoke heat

Horizontal offset

Geometry & Data Count N Numbers per wrap (columns) Cylinder radius Row pitch (vertical spacing)

View Auto-rotate Rotation speed

Legend

Primes 6k−1

Primes 6k+1

Gauss pairing chords

φ-helix (through Fibonacci)

Multiples of 3

Integer n is placed at angle \( \theta = 2\pi \frac{(n \bmod C)}{C} \), height \( z = \left\lfloor \frac{n-1}{C} \right\rfloor \!\cdot p\).
Gauss pairs per row sum to a constant: \(\;1+M = 2+ (M-1) = \cdots = M+1\).
Fibonacci points \(F_k\) are linked by a φ-helix.

Tip: try N=10000, cols=180 for dense prime bands.

What you’re seeing