e Digits
number-theory · 37 views
number-theoryhigh-entropy
What It Is
Base-256 digits of Euler's number e's fractional part. Transcendental (Hermite 1873); conjectured normal but unproven.
Interpretation
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); monofractal; 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 heaviness0.29
asymmetry0.36
occupancy0.96
short-range corr0.38
long-range memory0.27
spectral colour0.68
periodicity0.01
complexity0.93
time-irreversibility0.27
volatility clustering0.19
multifractality0.12
dimensionality0.94
nonstationarity0.27
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 ± std128 ± 73.6
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/e_Digits.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/e_Digits.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/e_Digits.png)
Inflation (Substitution) > barcode
/d_curve/e_Digits.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/e_Digits.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/e_Digits.png)
Ulam Spiral (Sacks) > default
/default/e_Digits.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| AES Encrypted | 1.75 | cross-origin |
| Pi Digits | 1.90 | |
| √2 Digits | 1.91 |
Which Geometries Light Up
Mostow Rigidity › Mostow Rigidity:volume_entropy | rank 4/306 | 4.4979 |
Zipf–Mandelbrot (16-bit) › Zipf–Mandelbrot (16-bit):hapax_ratio | rank 5/306 | 0.8807 |
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