Wichmann-Hill
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
What It Is
Wichmann & Hill (1982) --- three combined short-period LCGs. Python 2's random() engine before Mersenne Twister. Periods ~6.95×10¹²
Interpretation
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); monofractal; high-dimensional / space-filling. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.29
asymmetry0.48
occupancy0.94
short-range corr0.24
long-range memory0.41
spectral colour0.73
periodicity0.04
complexity0.97
time-irreversibility0.34
volatility clustering0.22
multifractality0.08
dimensionality0.91
nonstationarity0.17
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[0.0001497, 1]
unique values16384 / 16384
mean ± std0.499 ± 0.288
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Wichmann-Hill.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Wichmann-Hill.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Wichmann-Hill.png)
Inflation (Substitution) > barcode
/d_curve/Wichmann-Hill.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/Wichmann-Hill.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/Wichmann-Hill.png)
Ulam Spiral (Sacks) > default
/default/Wichmann-Hill.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| MT19937 (Mersenne Twister) | 1.55 | |
| ChaCha20 | 1.66 | |
| glibc LCG | 1.66 |
Which Geometries Light Up
Cantor Set › Cantor Set:bit_plane_autocorrelation | rank 303/307 | 0.0044 |
Moiré › Moiré:moire_max_coherence | rank 304/307 | 0.0227 |
Predictability › Predictability:cond_entropy_k1 | rank 3/307 | 2.9976 |
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