Ethereum-to-Bitcoin price ratio --- cross-asset relative strength with regime shifts
Standard analysis sees: no strongly notable standard properties. The atlas finds no named structure, but the source is distinctively extreme on Nonstationarity:ac1_trend (-2.9z) — beyond what the standard bank predicts for it. It sits beside Regime Switching in the atlas (standard-bank rank 23) — a neighbor conventional features miss.
Nonstationarity:ac1_trend | -2.9z | bank-miss 1.4σ |
S² × ℝ (Thurston):height_drift | -2.7z | bank-miss 1.0σ |
Sol (Thurston):z_variance | +2.4z | bank-miss 1.9σ |








_(centered)/signed_log_z/ETH_BTC_Ratio.png)
_(centered)/xy_path/ETH_BTC_Ratio.png)

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/d_curve/ETH_BTC_Ratio.png)








/phi_spectrum/ETH_BTC_Ratio.png)










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| Nearest neighbor | Distance | |
|---|---|---|
| Regime Switching | 2.56 | cross-domain |
| Levy Flight | 2.67 | cross-domain |
| Brownian Walk | 2.92 | cross-domain |
Catch24 › Catch24:CO_f1ecac | rank 1/298 | 2881.6099 |
Catch24 › Catch24:SB_BinaryStats_mean_longstretch1 | rank 1/298 | 6089.8000 |
Catch24 › Catch24:CO_FirstMin_ac | rank 2/298 | 8276.5000 |
Catch24 › Catch24:CO_HistogramAMI_even_2_5 | rank 4/298 | 1.4514 |
Catch24 › Catch24:SC_FluctAnal_2_rsrangefit_50_1_logi_prop_r1 | rank 294/298 | 0.1240 |
Catch24 › Catch24:DN_OutlierInclude_p_001_mdrmd | rank 295/298 | -0.7194 |
Catch24 › Catch24:SP_Summaries_welch_rect_centroid | rank 297/298 | 0.0004 |
Chladni › Chladni:nodal_clustering | rank 3/298 | 8.1796 |
Chladni › Chladni:plate_low_mode_fraction | rank 4/298 | 0.9943 |
Dodecagonal (Stampfli) › Dodecagonal (Stampfli):pisot_triplet_coherence | rank 2/298 | 0.6519 |
Fractal (Mandelbrot) › Fractal (Mandelbrot):escape_time_variance | rank 1/298 | 950.3973 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):boundary_dynamics | rank 4/298 | 0.1143 |
Inflation (Substitution) › Inflation (Substitution):discrepancy | rank 4/298 | 24.6590 |
Julia Set › Julia Set:escape_entropy | rank 297/298 | 2.5381 |
Level Statistics › Level Statistics:wd_classification | rank 5/298 | 0.2710 |
Moiré › Moiré:moire_dilation_entropy | rank 3/298 | 4.1877 |
Moiré › Moiré:moire_integer_excess | rank 295/298 | -0.3023 |
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_slope | rank 296/298 | -0.5965 |
Möbius-S³ › Möbius-S³:phi_return_cv | rank 3/298 | 6.0617 |
Sol (Thurston) › Sol (Thurston):z_variance | rank 3/298 | 22.3030 |
Ulam Spiral (Square) › Ulam Spiral (Square):polynomial_concentration | rank 3/298 | 0.1518 |