Poker Hands
stochastic-process · 37 views
stochastic-processhigh-entropy
What It Is
Stream of poker hand ranks (High Card through Royal Flush) --- extremely skewed: ~50% High Card, ~42% Pair, <0.002% Straight Flush or better
Interpretation
Standard analysis sees: heavy-tailed; right-skewed; few distinct values; aperiodic / broadband. The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:embedding_divergence_sum (-3.4z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.88
asymmetry0.90
occupancy0.10
short-range corr0.36
long-range memory0.39
spectral colour0.70
periodicity0.07
complexity0.49
time-irreversibility0.36
volatility clustering0.28
multifractality0.39
dimensionality0.77
nonstationarity0.45
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Attractor Reconstruction:embedding_divergence_sum | -3.4z | bank-miss 1.7σ |
Composition
dtypeuint8
range[0, 226]
unique values9 / 16384
mean ± std17.4 ± 22.1
Fixed alphabet — only 9 distinct symbols across 16384 samples.
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/Poker_Hands.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Poker_Hands.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Poker_Hands.png)
Inflation (Substitution) > barcode
/d_curve/Poker_Hands.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/Poker_Hands.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/Poker_Hands.png)
Ulam Spiral (Sacks) > default
/default/Poker_Hands.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Collatz Gap Lengths | 2.66 | cross-origin |
| Categorical Sensor | 3.45 | |
| Geometric Waiting Times | 3.94 |
Which Geometries Light Up
G2 Root System › G2 Root System:pair_angle_kurtosis | rank 302/306 | -1.9614 |
Klein Bottle › Klein Bottle:wht_spectral_kurtosis | rank 305/306 | 1.3816 |
Visibility Graph › Visibility Graph:degree_r_squared | rank 4/306 | 0.9630 |
Zipf–Mandelbrot (16-bit) › Zipf–Mandelbrot (16-bit):zipf_alpha | rank 1/306 | 2.7422 |
Zipf–Mandelbrot (8-bit) › Zipf–Mandelbrot (8-bit):zipf_alpha | rank 1/306 | 3.8710 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources