Formula Spring
Formula – by: base80
August 23rd, 2005
Some helixes are just too hard to make with the helix-spline.
Here is a formula-spline to make a helix that is more compact at the ends.
Follow up:
The formula has 3 components to define the shape followed by two to define the upper and lower limit (Tmin and Tmax) and the samples.
X(t)=100 * sin(t * pi)
Y(t)=300 * tanh(0.08 * t)
Z(t)=100 * cos(t * pi)
Tmin=-17
Tmax=17
Samples=300 or more
In the X and Z the 100 defines the diameter.
In the Y the 300 defines the hight and the 0.08 defines how compact the ends are.
Many more formulas on the fantastic site of Jürgen Meier