LFSR (16-bit)
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
What It Is
16-bit linear feedback shift register (LFSR). Low entropy, deterministic, complex bit transitions.
Interpretation
Standard analysis sees: blue spectrum (high-frequency power); high-dimensional / space-filling; stationary. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-3.0z) — beyond what the standard bank predicts for it. It sits beside Uniform Chaos (Logistic Scramble) in the atlas (standard-bank rank 82) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.33
asymmetry0.44
occupancy0.65
short-range corr0.51
long-range memory0.17
spectral colour0.96
periodicity0.49
complexity0.52
time-irreversibility0.44
volatility clustering0.36
multifractality0.41
dimensionality0.87
nonstationarity0.11
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):zipf_r_squared | -3.0z | bank-miss 1.0σ |
Cayley:local_linearity | +2.0z | bank-miss 3.5σ |
G2 Root System:short_long_ratio | -2.0z | bank-miss 1.8σ |
Composition
dtypefloat64
range[3, 6.553e+04]
unique values16384 / 16384
mean ± std3.28e+04 ± 1.9e+04
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/LFSR_(16-bit).png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/LFSR_(16-bit).png)
Heisenberg (Nil) (centered) > xy_path
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Hodge–Laplacian > default
/barcode/LFSR_(16-bit).png)
Inflation (Substitution) > barcode
/d_curve/LFSR_(16-bit).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/LFSR_(16-bit).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/LFSR_(16-bit).png)
Ulam Spiral (Sacks) > default
/default/LFSR_(16-bit).png)
Ulam Spiral (Square) > default
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Visibility Graph > default
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Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Bernoulli Shift | 2.47 | cross-origin |
| Baker Map | 3.61 | cross-origin |
| Uniform Chaos (Logistic Scramble) | 3.73 | cross-origin |
Which Geometries Light Up
Bispectrum › Bispectrum:bicoherence_gini | rank 3/307 | 0.9786 |
Cayley › Cayley:local_linearity | rank 3/307 | 1.0000 |
Cayley › Cayley:growth_exponent | rank 303/307 | 0.7370 |
G2 Root System › G2 Root System:short_long_ratio | rank 304/307 | 0.2960 |
Gottwald-Melbourne › Gottwald-Melbourne:k_statistic | rank 2/307 | 0.9986 |
Modular Residue › Modular Residue:equidistribution_deviation | rank 306/307 | 0.0021 |
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