1D observable from dense quasiperiodic orbit on T^5 (frequencies sqrt 2,3,5,7,11). Ground-truth intrinsic dimension d=5.
Standard analysis sees: red spectrum (low-frequency / 1-over-f power); strongly periodic; stationary. The atlas finds no named structure, but the source is distinctively extreme on Bispectrum:off_diagonal_ratio (+4.8z) — beyond what the standard bank predicts for it.
Bispectrum:off_diagonal_ratio | +4.8z | bank-miss 2.0σ |
Symplectic:phase_volume_explored | +2.0z | bank-miss 1.2σ |









_(centered)/signed_log_z/5-Torus_Quasiperiodic.png)
_(centered)/xy_path/5-Torus_Quasiperiodic.png)

/barcode/5-Torus_Quasiperiodic.png)
/d_curve/5-Torus_Quasiperiodic.png)








/phi_spectrum/5-Torus_Quasiperiodic.png)










/default/5-Torus_Quasiperiodic.png)
/default/5-Torus_Quasiperiodic.png)


| Nearest neighbor | Distance | |
|---|---|---|
| 4-Torus Quasiperiodic | 1.25 | |
| 3-Torus Quasiperiodic | 1.89 | |
| Ruelle-Takens Cascade | 2.63 | cross-origin |
Bispectrum › Bispectrum:off_diagonal_ratio | rank 1/306 | 1.0000 |
Bispectrum › Bispectrum:bicoherence_gini | rank 4/306 | 0.9748 |