121 Elements: E0 → Ubn (Z=120)
The 3-4-5 triangle governs ALL property scaling.
Gear Lash = arctan(4/3) − 360/7 = 1.7015°
v24 / v6.3 BREAKTHROUGH:
Period factors depend on (Group, Guest)
Hardness MAPE: 1.2% (16 compounds)
ALL factors are pure 3-4-5 ratios!
3-4-5 Valence: B=3 (leg_a), C=4 (leg_b), N=5 (hyp)
| Ratio | Value | Origin |
|---|---|---|
| 3/4 | 0.750 | leg_a/leg_b |
| 4/5 | 0.800 | leg_b/hyp |
| 5/7 | 0.714 | hyp/(3+4) |
| 6/7 | 0.857 | Area/7 |
| 7/6 | 1.167 | 1 + f_depth |
| 14/15 | 0.933 | (4/5)(7/6) |
| P4 | P5 | P6 | |
|---|---|---|---|
| G4+C | 1 | β | 14/15 |
| G4+N | 1 | 5/7 | 6/7 |
| G4+B | 1 | γ | 4/5 |
| G5+C | 1 | γ | βγ |
| G5+N | 1 | 14/15 | 4/5 |
| Guest | V | E scale | H scale |
|---|---|---|---|
| B | 3 | 5/4 | 7/6 |
| C | 4 | 1.0 | 1.0 |
| N | 5 | 1.0 | 3/4 |