Base-256 digits of γ = lim(Hₙ − ln n)'s fractional part. Even irrationality is an open question. Atlas-novelty here would be a striking empirical hint about γ's structure.
Standard analysis sees: rich, high-entropy values; high-complexity (noise-like); monofractal; high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:filling_ratio (+2.8z) — beyond what the standard bank predicts for it.
Attractor Reconstruction:filling_ratio | +2.8z | bank-miss 1.1σ |









_(centered)/signed_log_z/Euler-Mascheroni_γ_Digits.png)
_(centered)/xy_path/Euler-Mascheroni_γ_Digits.png)

/barcode/Euler-Mascheroni_γ_Digits.png)
/d_curve/Euler-Mascheroni_γ_Digits.png)








/phi_spectrum/Euler-Mascheroni_γ_Digits.png)










/default/Euler-Mascheroni_γ_Digits.png)
/default/Euler-Mascheroni_γ_Digits.png)


| Nearest neighbor | Distance | |
|---|---|---|
| MINSTD (Park-Miller) | 1.75 | cross-origin |
| AES Encrypted | 1.76 | cross-origin |
| Catalan G Digits | 1.77 |
Attractor Reconstruction › Attractor Reconstruction:filling_ratio | rank 2/306 | 0.9830 |
Cantor Set › Cantor Set:jump_entropy | rank 304/306 | 0.0553 |
Higher-Order Statistics › Higher-Order Statistics:perm_entropy | rank 2/306 | 0.9993 |
Nonstationarity › Nonstationarity:dynamic_coupling | rank 303/306 | 1.0699 |
Ordinal Partition › Ordinal Partition:statistical_complexity | rank 305/306 | 0.0003 |
Predictability › Predictability:cond_entropy_k8 | rank 5/306 | 2.9997 |
Zariski › Zariski:nonsep_fraction | rank 302/306 | 0.0066 |