(continues from Part 1, Part 2 and Part 3)
When I started this exercise I was hoping to find “interesting” alignments between the centres of the three pyramids, in part to explain the curious “kink”. So in that regard I failed spectacularly (so far).
What I did find was a whole host of other interesting alignments. The table below summarizes the best ones, those that are within 0.5Β° of the correct angle.
I don’t know if this proves anything, or if it is just a curious anomaly. I am open to ideas from people who know more about this than me… π
| Name | Ratio | Point 1 | Point 2 | Calculated | Desired | AbsDiff |
|---|---|---|---|---|---|---|
| β7 | 360/β7 | P2 BL | P1 TR | 136.066 | 136.067 | 0.001 |
| Basel | 360/ΞΆ(2) | P3 C | P1 TR | 218.830 | 218.854 | 0.024 |
| β2 | 360/β2 | P2 TL 45Β° | P1 C | 285.708 | 285.732 | 0.024 |
| β2 | 360/β2 | P3 C | P2 TL | 254.515 | 254.558 | 0.043 |
| Οβ | 360/Οβ | P3 TL | P2 TR | 42.213 | 42.156 | 0.057 |
| e^pi | e^pi | P2 C | P3 BR | 23.076 | 23.141 | 0.065 |
| ln pi | 360/(ln pi) | P2 BR | P1 BR | 314.550 | 314.485 | 0.066 |
| 7x11 | 7x11 | P2 C 45Β° | P3 C | 76.931 | 77.000 | 0.069 |
| Psi | 360/Ο | P2 TR | P1 TL | 107.075 | 107.147 | 0.072 |
| ΟΒ² | 360/ΟΒ² | P3 BL | P1 BR | 137.590 | 137.508 | 0.082 |
| Phi | 360/Ο | P3 BL | P1 BR | 222.410 | 222.492 | 0.082 |
| 11x11 | 11x11 | P3 BR | P1 BL | 120.909 | 121.000 | 0.091 |
| β | 360/β | P3 TL | P1 C | 132.340 | 132.437 | 0.096 |
| βΟβ | 360/βΟβ | P3 C 45Β° | P1 BR | 87.003 | 87.109 | 0.107 |
| Omega | 360Ξ© | P3 BR | P1 TL | 204.060 | 204.172 | 0.111 |
| β11 | 360/β11 | P3 BL | P2 TL | 108.696 | 108.544 | 0.152 |
| ln3 | 360/ln3 | P3 TL | P1 TL | 327.518 | 327.686 | 0.168 |
| β13 | 360/β13 | P3 C 45Β° | P2 TR | 99.670 | 99.846 | 0.176 |
| Ο/β | 360/(Ο/β ) | P3 BR | P2 BR | 311.672 | 311.492 | 0.180 |
| 13x13 | 13x13 | P2 C 45Β° | P3 BL | 168.810 | 169.000 | 0.190 |
| β3 | 360/β3 | P2 C | P1 BR | 208.040 | 207.846 | 0.194 |
| Tau | 360/Ο | P3 TL | P1 TL | 57.518 | 57.296 | 0.222 |
| ΟΒ³ | 360/ΟΒ³ | P2 TR | P1 BL | 85.219 | 84.984 | 0.235 |
| ApΓ©ry | 360/ΞΆ(3) | P3 TR | P2 C | 299.229 | 299.487 | 0.257 |
| 7x7 | 7x7 | P3 TL | P2 C | 48.718 | 49.000 | 0.282 |
| Root(Phi) | 360/βΟ | P2 TL | P1 BR | 283.310 | 283.014 | 0.296 |
| silver | 360/(1+β2) | P1 TR | P2 BR | 149.419 | 149.117 | 0.302 |
| bronze | 360/((3+β13)/2) | P3 TR | P2 BL | 109.330 | 108.999 | 0.330 |
| root bronze | 360/sqrt((3+β13)/2) | P2 BR | P1 BL | 197.758 | 198.090 | 0.332 |
| ln β2 | 360(ln β2) | P3 C | P2 TR | 125.113 | 124.766 | 0.346 |
| ln β5 | 360(ln β5) | P2 BR | P1 BL | 289.330 | 289.699 | 0.369 |
| Pi | 360/Ο | P2 C | P1 TL | 114.967 | 114.592 | 0.375 |
| root silver | 360/root(1+β2) | P3 BL | P2 BR | 231.312 | 231.694 | 0.382 |
| log3 | 360(log3) | P2 TL | P1 BR, P1 BL | 171.370 | 171.764 | 0.394 |
Key to pyramid names and points