BTC Close Price

financial · 36 views
financial

What It Is

Bitcoin hourly closing prices --- contiguous 16KB block sampled from 96K bars (2015-2026)

Interpretation

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.

What standard analysis sees
tail heaviness0.43
asymmetry0.13
occupancy0.70
short-range corr0.91
long-range memory0.94
spectral colour0.27
periodicity0.87
complexity0.72
time-irreversibility0.14
volatility clustering0.92
multifractality0.68
dimensionality0.14
nonstationarity0.93
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
S² × ℝ (Thurston):height_drift+2.6zbank-miss 1.2σ
Moiré:moire_peak_alpha+2.4zbank-miss 1.4σ
Wasserstein:self_similarity-2.3zbank-miss 1.2σ

Composition

dtypefloat64
range[1.563e+04, 7.362e+04]
unique values16322 / 16384
mean ± std3.95e+04 ± 1.76e+04

Render Gallery

Atlas Position

Nearest neighborDistance
Regime Switching3.05cross-domain
Levy Flight3.06cross-domain
Stochastic Resetting Walk3.45cross-domain

Open in Atlas →

Which Geometries Light Up

Catch24Catch24:CO_FirstMin_acrank 3/2987312.1600
Catch24Catch24:DN_OutlierInclude_p_001_mdrmdrank 3/2980.5333
Catch24Catch24:DN_OutlierInclude_n_001_mdrmdrank 296/298-0.4267
Catch24Catch24:FC_LocalSimple_mean1_tauresratrank 297/2980.0002
Dodecagonal (Stampfli)Dodecagonal (Stampfli):pisot_triplet_coherencerank 3/2980.6330
H² × ℝ (Thurston)H² × ℝ (Thurston):boundary_dynamicsrank 1/2980.1462
Inflation (Substitution)Inflation (Substitution):discrepancyrank 2/29825.5241
Mostow RigidityMostow Rigidity:distance_rigidityrank 295/2980.3047
Multi-Scale WassersteinMulti-Scale Wasserstein:w_sloperank 294/298-0.5752
NonstationarityNonstationarity:adf_pvaluerank 5/2980.7591
SL(2,ℝ) (Thurston)SL(2,ℝ) (Thurston):lyapunov_stdrank 5/2980.6123
S² × ℝ (Thurston)S² × ℝ (Thurston):height_driftrank 5/2980.4621
Ulam Spiral (Square)Ulam Spiral (Square):arm_density_variancerank 4/2981.7752
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