Industrielle styresystemer - Wiki
The mathematics of the test of consept is pretty simple. If we define the axix from figure 1.
As can be seen in figure 2, the math for finding the lenght of the cable for a given point (x,y,z) is to first calculate the hypotenus seen from above. This gives hypotenus1 = sqrt(x^2+y^2), and after that we calculate the hypotenus seen from the side. Since we allready know z and the length of our first edge from the hypotenus calculations, we now have 2 sides and can use pytagoras again to find the length.
Figure 1 ^
Figure 2