glibc LCG
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
What It Is
The C standard library LCG --- used by glibc rand() for decades. Low bits cycle with short period, high bits have lattice structure in dimensions >5
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 heaviness0.26
asymmetry0.35
occupancy0.91
short-range corr0.30
long-range memory0.29
spectral colour0.81
periodicity0.13
complexity0.93
time-irreversibility0.36
volatility clustering0.21
multifractality0.18
dimensionality0.93
nonstationarity0.21
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[4.763e-05, 1]
unique values16384 / 16384
mean ± std0.504 ± 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/glibc_LCG.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/glibc_LCG.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/glibc_LCG.png)
Inflation (Substitution) > barcode
/d_curve/glibc_LCG.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/glibc_LCG.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/glibc_LCG.png)
Ulam Spiral (Sacks) > default
/default/glibc_LCG.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| ChaCha20 | 1.58 | |
| XorShift32 | 1.59 | |
| White Noise | 1.62 | cross-origin |
Which Geometries Light Up
Mostow Rigidity › Mostow Rigidity:volume_sum_jitter_stability | rank 4/306 | 0.9660 |
Mostow Rigidity › Mostow Rigidity:volume_entropy | rank 5/306 | 4.4945 |
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