Clipped Sine
waveform · 36 views
waveform
What It Is
Sine wave hard-clipped at 70% --- flat tops and bottoms create a hybrid of smooth oscillation and constant segments, concentrating the distribution at extremes
Interpretation
Standard analysis sees: bounded / light-tailed; strongly periodic; low-complexity (predictable, not noise-like); multifractal; low-dimensional; stationary. The atlas finds no named structure, but the source is distinctively extreme on Nonstationarity:metric_volatility (+3.0z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.07
asymmetry0.40
occupancy0.31
short-range corr0.79
long-range memory0.48
spectral colour0.33
periodicity0.96
complexity0.03
time-irreversibility0.58
volatility clustering0.72
multifractality0.87
dimensionality0.11
nonstationarity0.04
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Nonstationarity:metric_volatility | +3.0z | bank-miss 1.0σ |
Visibility Graph:degree_exponent_gamma | -2.4z | bank-miss 1.7σ |
Composition
dtypefloat64
range[-1, 1]
unique values8090 / 16384
mean ± std-0.00158 ± 0.828
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Clipped_Sine.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Clipped_Sine.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Clipped_Sine.png)
Inflation (Substitution) > barcode
/d_curve/Clipped_Sine.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/Clipped_Sine.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/Clipped_Sine.png)
Ulam Spiral (Sacks) > default
/default/Clipped_Sine.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Damped Pendulum | 3.75 | cross-domain |
| Triangle Wave | 4.12 | |
| Sine Wave | 4.55 |
Which Geometries Light Up
2-adic › 2-adic:valuation_spectral_concentration | rank 5/298 | 0.7728 |
Laplacian › Laplacian:gradient_curvature_anticorrelation | rank 295/298 | -0.0970 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_std | rank 2/298 | 0.1643 |
Nonstationarity › Nonstationarity:metric_volatility | rank 3/298 | 3.2437 |
Ordinal Partition › Ordinal Partition:forbidden_transitions | rank 5/298 | 0.8571 |
Visibility Graph › Visibility Graph:degree_r_squared | rank 294/298 | 0.2817 |
in chaosMorse Code →
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources