Rainfall (ORD Hourly)

climate · 36 views

climate

What It Is

Real hourly precipitation at Chicago O'Hare 2020--2023 (IEM/ASOS). 35k observations, ~85% zero (dry hours), heavy-tailed wet spells. Public domain.

Interpretation

Standard analysis sees: heavy-tailed; right-skewed; few distinct values; low-complexity (predictable, not noise-like); time-irreversible (sharp rises, slow decay); multifractal; low-dimensional; nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:d2_saturation (-3.4z) — beyond what the standard bank predicts for it.

What standard analysis sees

tail heaviness1.00

asymmetry1.00

occupancy0.01

short-range corr0.46

long-range memory0.62

spectral colour0.52

periodicity0.21

complexity0.08

time-irreversibility0.95

volatility clustering0.46

multifractality1.00

dimensionality0.00

nonstationarity0.96

What the atlas adds

Atlas-extreme metrics the standard bank can’t predict for this source

`Attractor Reconstruction:d2_saturation`	-3.4z	bank-miss 1.4σ
`Möbius-S³:spinorial_asymmetry`	+2.8z	bank-miss 2.0σ
`G2 Root System:kurtosis_differential`	+2.3z	bank-miss 2.3σ
`Ulam Spiral (Square):diagonal_alignment`	-2.1z	bank-miss 3.4σ

Composition

dtypefloat64

range[0, 1.59]

unique values51 / 16384

mean ± std0.00373 ± 0.0297

Render Gallery

Native > phase_plotraw

Native > timeseriesraw

Native > triple_latticeraw

Boltzmann > lag_map

Boltzmann > spin_grid

Cayley > default

Chladni > plate_bottom

Chladni > plate_top

Heisenberg (Nil) (centered) > signed_log_z

Heisenberg (Nil) (centered) > xy_path

Hodge–Laplacian > default

Inflation (Substitution) > barcode

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

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

Ulam Spiral (Sacks) > default

Ulam Spiral (Square) > default

Visibility Graph > default

Wavelet Cascade > default

Atlas Position

Nearest neighbor	Distance
Solar Flares Daily Peak	4.34	cross-domain
Devil's Staircase	4.47	cross-domain
Neural Net (Pruned 90%)	4.59	cross-domain

Open in Atlas →

Which Geometries Light Up

2-adic › `2-adic:distance_entropy`	rank 296/298	0.6625
2-adic › `2-adic:mean_distance`	rank 296/298	0.0895
Catch24 › `Catch24:CO_trev_1_num`	rank 1/298	2.4267
Catch24 › `Catch24:DN_HistogramMode_10`	rank 2/298	2.5671
Catch24 › `Catch24:DN_HistogramMode_5`	rank 2/298	5.2444
Catch24 › `Catch24:CO_Embed2_Dist_tau_d_expfit_meandiff`	rank 294/298	0.0146
Catch24 › `Catch24:SB_MotifThree_quantile_hh`	rank 295/298	0.6084
Catch24 › `Catch24:DN_Mean`	rank 297/298	0.0021
Catch24 › `Catch24:DN_Spread_Std`	rank 297/298	0.0187
G2 Root System › `G2 Root System:kurtosis_differential`	rank 1/298	5.6056
Gottwald-Melbourne › `Gottwald-Melbourne:angular_spectral_structure`	rank 298/298	0.4327
Heisenberg (Nil) (centered) › `Heisenberg (Nil) (centered):z_rate_spectral_entropy`	rank 296/298	0.0461
Higher-Order Statistics › `Higher-Order Statistics:skew_mean`	rank 2/298	3.0631
Higher-Order Statistics › `Higher-Order Statistics:kurt_max`	rank 3/298	7.1921
Laplacian › `Laplacian:gradient_curvature_anticorrelation`	rank 298/298	-0.1612
Level Statistics › `Level Statistics:spacing_gue_distance`	rank 3/298	0.9413
Level Statistics › `Level Statistics:spacing_poisson_distance`	rank 3/298	0.9149
Multi-Scale Wasserstein › `Multi-Scale Wasserstein:w_mean`	rank 294/298	0.0016
Multi-Scale Wasserstein › `Multi-Scale Wasserstein:w_std`	rank 294/298	0.0007
Möbius-S³ › `Möbius-S³:phase_profile_deviation`	rank 4/298	0.7117
Möbius-S³ › `Möbius-S³:spinorial_asymmetry`	rank 5/298	0.1694
Piecewise-Linear › `Piecewise-Linear:envelope_area`	rank 297/298	33.7221
SL(2,ℝ) (Thurston) › `SL(2,ℝ) (Thurston):lyapunov_exponent`	rank 2/298	1.9817
Sol (Thurston) › `Sol (Thurston):z_variance`	rank 296/298	0.0176
Spherical S² › `Spherical S²:concentration`	rank 3/298	0.9987
Spherical S² › `Spherical S²:angular_spread`	rank 295/298	0.0574
Symplectic › `Symplectic:recurrence_rate`	rank 2/298	0.9782
Symplectic › `Symplectic:windowed_area_cv`	rank 5/298	5.5205
S² × ℝ (Thurston) › `S² × ℝ (Thurston):sphere_concentration`	rank 3/298	0.9988
S² × ℝ (Thurston) › `S² × ℝ (Thurston):great_circle_dispersion`	rank 294/298	0.0103
Ulam Spiral (Square) › `Ulam Spiral (Square):arm_density_variance`	rank 5/298	1.5862
Ulam Spiral (Square) › `Ulam Spiral (Square):diagonal_alignment`	rank 297/298	-0.4961
Visibility Graph › `Visibility Graph:avg_clustering_coeff`	rank 4/298	0.8548
Wasserstein › `Wasserstein:dist_from_uniform`	rank 2/298	0.4830
Wasserstein › `Wasserstein:concentration`	rank 3/298	31.4687
Wasserstein › `Wasserstein:entropy`	rank 296/298	0.1593
Wavelet Cascade › `Wavelet Cascade:intermittency_slope`	rank 294/298	-2.4959
Zariski › `Zariski:nonsep_fraction`	rank 3/298	0.9601
Zipf–Mandelbrot (16-bit) › `Zipf–Mandelbrot (16-bit):gini_coefficient`	rank 3/298	0.9723
Zipf–Mandelbrot (8-bit) › `Zipf–Mandelbrot (8-bit):gini_coefficient`	rank 2/298	0.9667
Zipf–Mandelbrot (8-bit) › `Zipf–Mandelbrot (8-bit):hapax_ratio`	rank 4/298	0.3058

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