Posts Tagged ‘tipi’

The Why Phi Pi Slice goes camping.

Posted: May 12, 2020 by tallbloke in design, Phi
Tags: , ,
The leaves of some plants grow on shoots that form 222.5 degrees round the main stem from their predecsessor

Back in 2013 I wrote a post about the relationship between our favourite number, phi (1.618…) and the famous circularity constant Pi (3.141…).

If we divide the circle of 360 degrees by phi, we get 222.5 degrees, leaving 137.5 degrees as the remainder. In that post I noted that:

The area ‘A’ of a sector of a circle is given by the simple formula: A=angle/360*Pi*R2
For a Radius ‘R’ of 1 and angle 137.507764 this is simply 137.5/360*Pi = 1.19998
The area of the whole circle is simply Pi, since R2 = 1
The ratio of Pi to 1.19998 is phi2
The ratio of the smaller sector to the larger is Pi-1.19998:1.19998 which is simply phi itself.