MT19937 (Mersenne Twister)
binary · 36 views
binary
What It Is
The Mersenne Twister (Matsumoto & Nishimura, 1998) --- period 2^19937-1, default PRNG of numpy's legacy RandomState, CPython's random module, and many other languages. Detection-ceiling source: well-mixed enough that the framework should find it indistinguishable from White Noise on size-8192 windows --- a positive null calibrating where the weak-PRNG/strong-PRNG boundary actually sits
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 heaviness0.19
asymmetry0.36
occupancy0.91
short-range corr0.29
long-range memory0.29
spectral colour0.74
periodicity0.09
complexity0.93
time-irreversibility0.57
volatility clustering0.20
multifractality0.26
dimensionality0.89
nonstationarity0.23
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[5.982e-05, 1]
unique values16384 / 16384
mean ± std0.496 ± 0.287
Render Gallery
.png)
Native > phase_plotraw
.png)
Native > timeseriesraw
.png)
Native > triple_latticeraw
.png)
Boltzmann > lag_map
.png)
Boltzmann > spin_grid
.png)
Cayley > default
.png)
Chladni > plate_bottom
.png)
Chladni > plate_top
_(centered)/signed_log_z/MT19937_(Mersenne_Twister).png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/MT19937_(Mersenne_Twister).png)
Heisenberg (Nil) (centered) > xy_path
.png)
Hodge–Laplacian > default
/barcode/MT19937_(Mersenne_Twister).png)
Inflation (Substitution) > barcode
/d_curve/MT19937_(Mersenne_Twister).png)
Inflation (Substitution) > d_curve
.png)
Information Theory > default
.png)
Julia Set > escape_histogram
.png)
Klein Bottle > default
.png)
Laplacian > default
.png)
Logarithmic Spiral > default
.png)
Möbius-S³ > mobius_cylinder
.png)
Möbius-S³ > s2_base_map
.png)
Ordinal Partition > default
/phi_spectrum/MT19937_(Mersenne_Twister).png)
Penrose (Quasicrystal) > phi_spectrum
.png)
Persistent Homology > barcode
.png)
Persistent Homology > h1_diagram
.png)
Predictability > default
.png)
Recurrence Quantification > default
.png)
Spectral Analysis > default
.png)
Spectral Graph > default
.png)
Spirograph > mode_spectrum
.png)
Spirograph > phasor_trajectory
.png)
Symplectic > flux_grid
.png)
Symplectic > phase_space
/default/MT19937_(Mersenne_Twister).png)
Ulam Spiral (Sacks) > default
/default/MT19937_(Mersenne_Twister).png)
Ulam Spiral (Square) > default
.png)
Visibility Graph > default
.png)
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Wichmann-Hill | 1.57 | |
| White Noise | 1.77 | cross-domain |
| XorShift32 | 1.78 |
Which Geometries Light Up
Catch24 › Catch24:SB_MotifThree_quantile_hh | rank 5/298 | 2.1971 |
Inflation (Substitution) › Inflation (Substitution):entropy_rate | rank 2/298 | 1.0000 |
Inflation (Substitution) › Inflation (Substitution):complexity_linearity | rank 295/298 | 0.6382 |
Klein Bottle › Klein Bottle:rank_deficit_max | rank 298/298 | 0.0967 |
Moiré › Moiré:moire_max_coherence | rank 296/298 | 0.0226 |
Predictability › Predictability:cond_entropy_k8 | rank 2/298 | 2.9998 |
Zipf–Mandelbrot (8-bit) › Zipf–Mandelbrot (8-bit):bigram_predictability | rank 297/298 | 0.0105 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources