A 5-fold quasicrystal as the orbit of the quasiaddition x ⊣ y = τ²x − τy on a regular pentagon (τ = Φ + δ). At δ = 0 you're exactly at the golden ratio. Sweep around it and the lattice breathes. Made with #python #numpy #matplotlib and #marimo.
Video
Simone Conradi
Anyone here read Berman and Moody's "The algebraic theory of quasicrystals with five-fold symmetries"? They study an operation called quasiaddition: x⊢y = Φ²x - Φy where Φ = (1+√5)/2. Doing that repeatedly to all the points in the pentagon shown here generates a quasicrystal, they claim!
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