Golden ratio
Turns out the golden ratio, commonly denoted φ, can be approximated to the precision you want with the Fibonacci sequence. Divide any number in it with the number that came before.
Observe, the Fibonacci sequence:
| Number | Ratio with preceding |
|---|---|
| 1 | |
| 1 | 1.000000000000000 |
| 2 | 2.000000000000000 |
| 3 | 1.500000000000000 |
| 5 | 1.666666666666667 |
| 8 | 1.600000000000000 |
| 13 | 1.625000000000000 |
| 21 | 1.615384615384615 |
| 34 | 1.619047619047619 |
| 55 | 1.617647058823529 |
| 89 | 1.618181818181818 |
| 144 | 1.617977528089888 |
| 233 | 1.618055555555556 |
So 8/5, also known as the monitor aspect ratio 16:10, is a crude approximation, but may be close enough for the human eye to the true golden ratio. With a couple more steps (21:13 or 34:21), it definitely is.
Created (3 years ago)