2.7 Helixes in 3Di
The simplest helix graph is generated by Euler’s equation in 3Di coordinates:
Interval :
A simple coefficient in the exponent determines the frequency:
with
As we go through the sections of the book, it becomes clear why Euler’s Formula is regarded as the most remarkable equation in mathematics. It is innate almost everywhere.
See section 6.0 Euler’s Formula Upgraded, Helix and Spiral Functions for more discussion.
2.71 Beat Helix
By adding a second term with a frequency close to the first one, a ‘Beat Helix’ results:
with
FRP
TIP
RSIP, :
Three plane projection with
3Di object with
Animation 5 ’Beat Helix’