Morse Code
signal-synthesis · 37 views
signal-synthesissymbolic
What It Is
Synthetic Morse code --- dots (1 unit), dashes (3 units), and hierarchical gaps (1/3/7 units). Creates multi-scale on/off structure encoding random letter sequences
Interpretation
Standard analysis sees: bounded / light-tailed; few distinct values; low-complexity (predictable, not noise-like); multifractal; stationary. The atlas finds no named structure, but the source is distinctively extreme on S² × ℝ (Thurston):height_drift (-5.5z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.03
asymmetry0.25
occupancy0.06
short-range corr0.57
long-range memory0.43
spectral colour0.36
periodicity0.72
complexity0.03
time-irreversibility0.45
volatility clustering0.59
multifractality0.91
dimensionality0.61
nonstationarity0.10
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
S² × ℝ (Thurston):height_drift | -5.5z | bank-miss 1.6σ |
Multi-Scale Wasserstein:w_fine | +5.4z | bank-miss 1.1σ |
Hyperbolic (Poincaré):temporal_variance | +3.7z | bank-miss 1.0σ |
Laplacian:poisson_recovery_error | -2.5z | bank-miss 1.4σ |
Multi-Scale Wasserstein:w_std | +2.5z | bank-miss 2.4σ |
Navier-Stokes:ess_rescaling_gain | +2.0z | bank-miss 2.1σ |
Composition
dtypeuint8
range[0, 255]
unique values2 / 16384
mean ± std130 ± 127
Binary sequence — two distinct symbols.
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/Morse_Code.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Morse_Code.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Morse_Code.png)
Inflation (Substitution) > barcode
/d_curve/Morse_Code.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/Morse_Code.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/Morse_Code.png)
Ulam Spiral (Sacks) > default
/default/Morse_Code.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Symbolic Lorenz | 3.74 | cross-origin |
| Pulse-Width Modulation | 4.28 | |
| Rule 110 | 4.63 | cross-origin |
Which Geometries Light Up
D4 Triality › D4 Triality:edge_ortho_polarity | rank 306/306 | 0.0000 |
D4 Triality › D4 Triality:gram_consistency | rank 306/306 | 0.0000 |
G2 Root System › G2 Root System:short_long_ratio | rank 1/306 | 1.0000 |
Mostow Rigidity › Mostow Rigidity:laplacian_perturbation_stability | rank 3/306 | 1.0000 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_fine | rank 1/306 | 0.3942 |
Navier-Stokes › Navier-Stokes:ess_rescaling_gain | rank 3/306 | 0.9963 |
Ordinal Partition › Ordinal Partition:forbidden_transitions | rank 3/306 | 0.8800 |
S² × ℝ (Thurston) › S² × ℝ (Thurston):height_drift | rank 306/306 | -1.0000 |
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