MT19937 (Mersenne Twister)
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
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 heaviness0.20
asymmetry0.35
occupancy0.91
short-range corr0.28
long-range memory0.29
spectral colour0.74
periodicity0.09
complexity0.93
time-irreversibility0.57
volatility clustering0.20
multifractality0.26
dimensionality0.89
nonstationarity0.22
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
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Native > phase_plotraw
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Native > timeseriesraw
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Native > triple_latticeraw
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Boltzmann > lag_map
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Boltzmann > spin_grid
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Cayley > default
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Chladni > free_plate_nodal
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Chladni > plate_bottom
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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
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Hodge–Laplacian > default
/barcode/MT19937_(Mersenne_Twister).png)
Inflation (Substitution) > barcode
/d_curve/MT19937_(Mersenne_Twister).png)
Inflation (Substitution) > d_curve
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Information Theory > default
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Julia Set > escape_histogram
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Klein Bottle > default
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Laplacian > default
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Logarithmic Spiral > default
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Möbius-S³ > mobius_cylinder
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Möbius-S³ > s2_base_map
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Ordinal Partition > default
/phi_spectrum/MT19937_(Mersenne_Twister).png)
Penrose (Quasicrystal) > phi_spectrum
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Persistent Homology > barcode
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Persistent Homology > h1_diagram
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Predictability > default
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Recurrence Quantification > default
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Spectral Analysis > default
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Spectral Graph > default
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Spirograph > mode_spectrum
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Spirograph > phasor_trajectory
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Symplectic > flux_grid
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Symplectic > phase_space
/default/MT19937_(Mersenne_Twister).png)
Ulam Spiral (Sacks) > default
/default/MT19937_(Mersenne_Twister).png)
Ulam Spiral (Square) > default
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Visibility Graph > default
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Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Wichmann-Hill | 1.55 | |
| AES Encrypted | 1.65 | |
| XorShift32 | 1.76 |
Which Geometries Light Up
2-adic › 2-adic:multiscale_markov_predictability | rank 303/307 | 0.0269 |
Inflation (Substitution) › Inflation (Substitution):entropy_rate | rank 2/307 | 1.0000 |
Inflation (Substitution) › Inflation (Substitution):complexity_subexponential | rank 304/307 | 0.6382 |
Klein Bottle › Klein Bottle:rank_deficit_max | rank 306/307 | 0.0967 |
Moiré › Moiré:moire_max_coherence | rank 305/307 | 0.0226 |
Predictability › Predictability:cond_entropy_k8 | rank 2/307 | 2.9998 |
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