RANDU
binary · 36 views
binary
What It Is
IBM's infamous RANDU (1968) --- the worst widely-deployed RNG in history. Points fall on just 15 parallel planes in 3D. Multiplier 65539 = 2¹⁶+3
Interpretation
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); high-dimensional / space-filling. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.22
asymmetry0.40
occupancy0.93
short-range corr0.33
long-range memory0.36
spectral colour0.70
periodicity0.04
complexity0.92
time-irreversibility0.27
volatility clustering0.17
multifractality0.20
dimensionality0.96
nonstationarity0.25
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[2.283e-05, 0.9998]
unique values16384 / 16384
mean ± std0.499 ± 0.287
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/RANDU.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/RANDU.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/RANDU.png)
Inflation (Substitution) > barcode
/d_curve/RANDU.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/RANDU.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/RANDU.png)
Ulam Spiral (Sacks) > default
/default/RANDU.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| glibc LCG | 1.49 | |
| White Noise | 1.55 | cross-domain |
| XorShift32 | 1.62 |
Which Geometries Light Up
Modular Residue › Modular Residue:drift_anomaly | rank 294/298 | 0.0030 |
Mostow Rigidity › Mostow Rigidity:volume_rigidity | rank 5/298 | 0.9649 |
Predictability › Predictability:cond_entropy_k1 | rank 3/298 | 2.9976 |
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