RANDU
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
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); monofractal; high-dimensional / space-filling. The atlas detects no named structure beyond this. It sits beside Wichmann-Hill in the atlas (standard-bank rank 22) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.27
asymmetry0.52
occupancy0.93
short-range corr0.27
long-range memory0.38
spectral colour0.78
periodicity0.07
complexity0.97
time-irreversibility0.70
volatility clustering0.31
multifractality0.15
dimensionality0.97
nonstationarity0.19
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 > free_plate_nodal
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
Which Geometries Light Up
Catch24 › Catch24:SB_MotifThree_quantile_hh | rank 5/306 | 2.1971 |
Modular Residue › Modular Residue:equidistribution_deviation | rank 304/306 | 0.0022 |
Mostow Rigidity › Mostow Rigidity:volume_sum_jitter_stability | rank 3/306 | 0.9676 |
Predictability › Predictability:cond_entropy_k1 | rank 5/306 | 2.9976 |
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