Disordered Hyperuniformity
Point patterns that are random yet suppress large-scale density fluctuations
Hyperuniform
Poisson Random
Crystal
Structure Factor
Parameters
Number of points:
400
Exclusion radius:
0.30
Jitter (0=crystal):
0.50
Regenerate
Optimize (HU)
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Number variance σ²(R)
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S(k→0) estimate
Hyperuniform
point patterns have S(k)→0 as k→0 — density fluctuations are suppressed at large scales, even in disordered configurations.
Examples: retinal cone photoreceptors, amorphous silicon, jammed sphere packings, quasicrystals.
"Structure factor" tab shows S(k) — a crystal shows Bragg peaks, Poisson has S=1, hyperuniform has S(0)≈0.