Rainfall (ORD Hourly)

atmospheric · 37 views
atmosphericstochastic

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 corr0.45
long-range memory0.62
spectral colour0.53
periodicity0.22
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-3.4zbank-miss 1.9σ
Mostow Rigidity:distance_rigidity-3.3zbank-miss 1.2σ
Zipf–Mandelbrot (8-bit):hapax_ratio+3.2zbank-miss 1.1σ
Möbius-S³:spinorial_asymmetry+2.8zbank-miss 2.2σ
Ulam Spiral (Square):diagonal_alignment-2.0zbank-miss 3.0σ

Composition

dtypefloat64
range[0, 1.59]
unique values51 / 16384
mean ± std0.00373 ± 0.0297

Render Gallery

Native > phase_plot
Native > phase_plotraw
Native > timeseries
Native > timeseriesraw
Native > triple_lattice
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > lag_map
Boltzmann > spin_grid
Boltzmann > spin_grid
Cayley > default
Cayley > default
Chladni > free_plate_nodal
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_bottom
Chladni > plate_top
Chladni > plate_top
Heisenberg (Nil) (centered) > signed_log_z
Heisenberg (Nil) (centered) > signed_log_z
Heisenberg (Nil) (centered) > xy_path
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
Hodge–Laplacian > default
Inflation (Substitution) > barcode
Inflation (Substitution) > barcode
Inflation (Substitution) > d_curve
Inflation (Substitution) > d_curve
Information Theory > default
Information Theory > default
Julia Set > escape_histogram
Julia Set > escape_histogram
Klein Bottle > default
Klein Bottle > default
Laplacian > default
Laplacian > default
Logarithmic Spiral > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Möbius-S³ > s2_base_map
Ordinal Partition > default
Ordinal Partition > default
Penrose (Quasicrystal) > phi_spectrum
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > barcode
Persistent Homology > h1_diagram
Persistent Homology > h1_diagram
Predictability > default
Predictability > default
Recurrence Quantification > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Analysis > default
Spectral Graph > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > flux_grid
Symplectic > phase_space
Symplectic > phase_space
Ulam Spiral (Sacks) > default
Ulam Spiral (Sacks) > default
Ulam Spiral (Square) > default
Ulam Spiral (Square) > default
Visibility Graph > default
Visibility Graph > default
Wavelet Cascade > default
Wavelet Cascade > default

Atlas Position

Nearest neighborDistance
Solar Flares Daily Peak4.08cross-origin
Devil's Staircase4.16cross-origin
Neural Net (Pruned 90%)4.21cross-origin

Open in Atlas →

Which Geometries Light Up

2-adic › 2-adic:distance_entropyrank 305/3070.6625
2-adic › 2-adic:mean_distancerank 305/3070.0895
Catch24 › Catch24:CO_trev_1_numrank 1/3072.4267
Catch24 › Catch24:DN_HistogramMode_10rank 3/3072.5671
Catch24 › Catch24:DN_HistogramMode_5rank 3/3075.2444
Catch24 › Catch24:DN_Spread_Stdrank 304/3070.0187
Catch24 › Catch24:SB_MotifThree_quantile_hhrank 304/3070.6084
Catch24 › Catch24:DN_Meanrank 306/3070.0021
Higher-Order Statistics › Higher-Order Statistics:kurt_maxrank 3/3077.1921
Higher-Order Statistics › Higher-Order Statistics:skew_meanrank 3/3073.0631
Laplacian › Laplacian:gradient_curvature_anticorrelationrank 306/307-0.1612
Level Statistics › Level Statistics:spacing_gue_distancerank 3/3070.9413
Level Statistics › Level Statistics:spacing_poisson_distancerank 3/3070.9149
Multi-Scale Wasserstein › Multi-Scale Wasserstein:w_meanrank 303/3070.0016
Möbius-S³ › Möbius-S³:phase_profile_deviationrank 4/3070.7117
Möbius-S³ › Möbius-S³:spinorial_asymmetryrank 5/3070.1694
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):cocycle_growth_raterank 2/3071.9817
Spherical S² › Spherical S²:concentrationrank 3/3070.9987
Spherical S² › Spherical S²:angular_spreadrank 304/3070.0574
Symplectic › Symplectic:recurrence_raterank 2/3070.9782
S² × ℝ (Thurston) › S² × ℝ (Thurston):sphere_concentrationrank 4/3070.9988
S² × ℝ (Thurston) › S² × ℝ (Thurston):great_circle_dispersionrank 303/3070.0103
Ulam Spiral (Square) › Ulam Spiral (Square):diagonal_alignmentrank 306/307-0.4961
Visibility Graph › Visibility Graph:avg_clustering_coeffrank 4/3070.8548
Wasserstein › Wasserstein:concentrationrank 3/30731.4687
Wasserstein › Wasserstein:dist_from_uniformrank 3/3070.4830
Wasserstein › Wasserstein:entropyrank 304/3070.1593
Wavelet Cascade › Wavelet Cascade:coarse_scale_kurtosis_sloperank 303/307-2.4959
Zariski › Zariski:nonsep_fractionrank 3/3070.9601
Zipf–Mandelbrot (16-bit) › Zipf–Mandelbrot (16-bit):gini_coefficientrank 3/3070.9723
Zipf–Mandelbrot (8-bit) › Zipf–Mandelbrot (8-bit):gini_coefficientrank 2/3070.9667
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Structure Atlas — Open Atlas · GitHub