Bitcoin hourly closing prices --- contiguous 16KB block sampled from 96K bars (2015-2026)
Standard analysis sees: left-skewed; smooth / autocorrelated; long-range memory (persistent); strongly periodic; time-irreversible (slow rise, sharp collapse); volatility-clustering (bursty); low-dimensional; nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on S² × ℝ (Thurston):height_drift (+2.6z) — beyond what the standard bank predicts for it.
S² × ℝ (Thurston):height_drift | +2.6z | bank-miss 1.2σ |
Moiré:moire_peak_alpha | +2.4z | bank-miss 1.4σ |
Wasserstein:self_similarity | -2.3z | bank-miss 1.2σ |








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| Nearest neighbor | Distance | |
|---|---|---|
| Regime Switching | 3.05 | cross-domain |
| Levy Flight | 3.06 | cross-domain |
| Stochastic Resetting Walk | 3.45 | cross-domain |
Catch24 › Catch24:CO_FirstMin_ac | rank 3/298 | 7312.1600 |
Catch24 › Catch24:DN_OutlierInclude_p_001_mdrmd | rank 3/298 | 0.5333 |
Catch24 › Catch24:DN_OutlierInclude_n_001_mdrmd | rank 296/298 | -0.4267 |
Catch24 › Catch24:FC_LocalSimple_mean1_tauresrat | rank 297/298 | 0.0002 |
Dodecagonal (Stampfli) › Dodecagonal (Stampfli):pisot_triplet_coherence | rank 3/298 | 0.6330 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):boundary_dynamics | rank 1/298 | 0.1462 |
Inflation (Substitution) › Inflation (Substitution):discrepancy | rank 2/298 | 25.5241 |
Mostow Rigidity › Mostow Rigidity:distance_rigidity | rank 295/298 | 0.3047 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_slope | rank 294/298 | -0.5752 |
Nonstationarity › Nonstationarity:adf_pvalue | rank 5/298 | 0.7591 |
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):lyapunov_std | rank 5/298 | 0.6123 |
S² × ℝ (Thurston) › S² × ℝ (Thurston):height_drift | rank 5/298 | 0.4621 |
Ulam Spiral (Square) › Ulam Spiral (Square):arm_density_variance | rank 4/298 | 1.7752 |