## 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