Okay, REALLY last one for tonight. Found an approximation for the cubit using square roots. Not very good, in fact worst so far.
Formula is
Cubit in squares
Comparison table is now:
| Method | Value | Difference from π/6 | Abs difference |
|---|---|---|---|
| π/6 | 0.52359877559830 | 0.00000000000000 | 0.00000000000000 |
| φ²/5 | 0.52360679774998 | 0.00000802215168 | 0.00000802215168 |
| Ave Year | 0.52360779708785 | 0.00000902148956 | 0.00000902148956 |
| π – φ² | 0.52355866483991 | -0.00004011075839 | 0.00004011075839 |
| 10²/φ²π²ⅇ² | 0.52376444099003 | 0.00016566539172 | 0.00016566539172 |
| cube roots | 0.52360035017194 | 0.00000157457365 | 0.00000157457365 |
| square roots | 0.52340373684796 | 0.00019503875033 | 0.00019503875033 |