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

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 |