LFSR (16-bit)
exotic · 36 views
exotic
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 H3 Icosahedral:temporal_coherence (+2.2z) — beyond what the standard bank predicts for it. It sits beside Standard Map K=0.5 (Mixed) in the atlas (standard-bank rank 93) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.32
asymmetry0.45
occupancy0.64
short-range corr0.51
long-range memory0.17
spectral colour0.96
periodicity0.49
complexity0.52
time-irreversibility0.45
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
H3 Icosahedral:temporal_coherence | +2.1z | bank-miss 3.3σ |
Composition
dtypefloat64
range[1, 6.554e+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 > 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 | 4.12 | cross-domain |
| Logistic Chaos | 4.83 | cross-domain |
| Standard Map K=0.5 (Mixed) | 4.90 | cross-domain |
Which Geometries Light Up
Cayley › Cayley:growth_exponent | rank 296/298 | 0.7260 |
Fractal (Mandelbrot) › Fractal (Mandelbrot):escape_entropy | rank 1/298 | 3.5010 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_max_ratio | rank 4/298 | 1474.4506 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_fine | rank 5/298 | 0.1932 |
Symplectic › Symplectic:phase_reflection_symmetry | rank 297/298 | -0.0615 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources