Bzip2 (level 9)
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
What It Is
Bzip2-compressed data (1.1 MB, level 9, 900k blocks) --- BWT with maximum block size, approaching the entropy floor of the source data
Interpretation
Standard analysis sees: rich, high-entropy values; high-complexity (noise-like); high-dimensional / space-filling. The atlas detects no named structure beyond this. It sits beside Pi Digits in the atlas (standard-bank rank 20) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.20
asymmetry0.56
occupancy0.90
short-range corr0.38
long-range memory0.48
spectral colour0.62
periodicity0.22
complexity0.87
time-irreversibility0.29
volatility clustering0.29
multifractality0.40
dimensionality0.96
nonstationarity0.33
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
dtypeuint8
range[0, 255]
unique values256 / 16384
mean ± std129 ± 74.2
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
.png)
Boltzmann > spin_grid
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Cayley > default
.png)
Chladni > free_plate_nodal
.png)
Chladni > plate_bottom
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Chladni > plate_top
_(centered)/signed_log_z/Bzip2_(level_9).png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Bzip2_(level_9).png)
Heisenberg (Nil) (centered) > xy_path
.png)
Hodge–Laplacian > default
/barcode/Bzip2_(level_9).png)
Inflation (Substitution) > barcode
/d_curve/Bzip2_(level_9).png)
Inflation (Substitution) > d_curve
.png)
Information Theory > default
.png)
Julia Set > escape_histogram
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Klein Bottle > default
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Laplacian > default
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Logarithmic Spiral > default
.png)
Möbius-S³ > mobius_cylinder
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Möbius-S³ > s2_base_map
.png)
Ordinal Partition > default
/phi_spectrum/Bzip2_(level_9).png)
Penrose (Quasicrystal) > phi_spectrum
.png)
Persistent Homology > barcode
.png)
Persistent Homology > h1_diagram
.png)
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
.png)
Spirograph > phasor_trajectory
.png)
Symplectic > flux_grid
.png)
Symplectic > phase_space
/default/Bzip2_(level_9).png)
Ulam Spiral (Sacks) > default
/default/Bzip2_(level_9).png)
Ulam Spiral (Square) > default
.png)
Visibility Graph > default
.png)
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Bzip2 (level 1) | 2.12 | |
| Catalan G Digits | 2.27 | cross-origin |
| Pi Digits | 2.30 | cross-origin |
Which Geometries Light Up
Modular Residue › Modular Residue:equidistribution_deviation | rank 304/307 | 0.0024 |
Predictability › Predictability:sample_entropy | rank 5/307 | 2.2141 |
Zariski › Zariski:nonsep_fraction | rank 306/307 | 0.0065 |
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