A couple of days ago I came across this video of Maxon Training Team (channel that I recommend you follow):

This tutorial shows techniques for rolling a cube along a path using XPresso and the new Nodes system. The result is good and in certain situations it can be fine, but it is not precise, it is an approximation. I tried to look if there was a mathematical solution to the problem but in my short search I found only these other methods of solving the problem:

This is another fast and effective approach that leverages the internal physics of C4D.

Here, on the other hand, a solution is offered to obtain a mathematically precise rolling, but it would probably be difficult, to deny me if I am wrong, to adapt it to make the cube follow a path other than the straight line.

So I thought I’d solve the problem mathematically so that the cube can follow a path along a spline. But first I want to show you a short example video where I used my own preset.

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