Perlin Noise
noise · 36 views
noise
What It Is
Spectral Perlin-like noise --- coherent smooth fluctuations with 1/f amplitude falloff, widely used for procedural terrain and texture generation
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); red spectrum (low-frequency / 1-over-f power); volatility-clustering (bursty). The atlas finds no named structure, but the source is distinctively extreme on Spectral Analysis:spectral_r2 (+2.0z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.54
asymmetry0.15
occupancy0.75
short-range corr0.90
long-range memory0.92
spectral colour0.14
periodicity0.79
complexity0.60
time-irreversibility0.33
volatility clustering0.90
multifractality0.53
dimensionality0.20
nonstationarity0.82
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Spectral Analysis:spectral_r2 | +2.0z | bank-miss 1.6σ |
Composition
dtypefloat64
range[-4.926, 3.454]
unique values16384 / 16384
mean ± std0 ± 1.81
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Perlin_Noise.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Perlin_Noise.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Perlin_Noise.png)
Inflation (Substitution) > barcode
/d_curve/Perlin_Noise.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Perlin_Noise.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Perlin_Noise.png)
Ulam Spiral (Sacks) > default
/default/Perlin_Noise.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| fBm (Persistent) | 1.87 | |
| Brownian Walk | 2.13 | |
| fBm (Antipersistent) | 2.24 |
Which Geometries Light Up
Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_resonance | rank 3/298 | 0.9370 |
Catch24 › Catch24:SP_Summaries_welch_rect_centroid | rank 298/298 | 0.0004 |
Chladni › Chladni:nodal_clustering | rank 5/298 | 7.8501 |
Heisenberg (Nil) (centered) › Heisenberg (Nil) (centered):xy_aspect | rank 294/298 | 0.0003 |
Moiré › Moiré:moire_phi_response | rank 297/298 | -0.1361 |
Sol (Thurston) › Sol (Thurston):sol_step_persistence | rank 2/298 | 0.9048 |
Spectral Analysis › Spectral Analysis:spectral_r2 | rank 2/298 | 0.9999 |
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