BTC Close Price
financial · 37 views
financialstochastic
What It Is
Bitcoin hourly closing prices --- contiguous block sampled from ~70K hourly bars (Bitstamp BTC/USD, 2018-2026)
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); time-irreversible (slow rise, sharp collapse); volatility-clustering (bursty); low-dimensional; nonstationary / drifting. The atlas additionally detects Nonstationarity:adf_pvalue. It sits beside ETH/BTC Ratio in the atlas (standard-bank rank 33) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.34
asymmetry0.68
occupancy0.67
short-range corr0.93
long-range memory0.94
spectral colour0.29
periodicity0.76
complexity0.73
time-irreversibility0.10
volatility clustering0.94
multifractality0.68
dimensionality0.09
nonstationarity0.96
What the atlas adds
Nonstationarity:adf_pvalue+3.9z
unit-root nonstationarity (ADF cannot reject random-walk null)
Atlas-extreme metrics the standard bank can’t predict for this source
S² × ℝ (Thurston):height_drift | +2.8z | bank-miss 1.8σ |
Ulam Spiral (Square):polynomial_concentration | -2.3z | bank-miss 1.7σ |
Mostow Rigidity:laplacian_perturbation_stability | -2.2z | bank-miss 1.0σ |
Composition
dtypefloat64
range[2.5e+04, 1.118e+05]
unique values13824 / 16384
mean ± std6.7e+04 ± 2.45e+04
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/BTC_Close_Price.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/BTC_Close_Price.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/BTC_Close_Price.png)
Inflation (Substitution) > barcode
/d_curve/BTC_Close_Price.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/BTC_Close_Price.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/BTC_Close_Price.png)
Ulam Spiral (Sacks) > default
/default/BTC_Close_Price.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Levy Flight | 2.83 | cross-origin |
| Regime Switching | 3.06 | cross-origin |
| ETH/BTC Ratio | 3.07 |
Which Geometries Light Up
Catch24 › Catch24:FC_LocalSimple_mean1_tauresrat | rank 303/306 | 0.0003 |
Catch24 › Catch24:DN_OutlierInclude_n_001_mdrmd | rank 304/306 | -0.4519 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):boundary_dynamics | rank 1/306 | 0.1430 |
Inflation (Substitution) › Inflation (Substitution):discrepancy | rank 4/306 | 23.1484 |
Nonstationarity › Nonstationarity:adf_pvalue | rank 5/306 | 0.6568 |
Symplectic › Symplectic:phase_reflection_symmetry | rank 5/306 | 0.9961 |
S² × ℝ (Thurston) › S² × ℝ (Thurston):height_drift | rank 5/306 | 0.5097 |
Ulam Spiral (Square) › Ulam Spiral (Square):polynomial_concentration | rank 304/306 | 0.0162 |
in number-theoryBTC Range →
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