Says it is defined by the following parametric equations:
x = sin t + 2sin 2t
y=cos t - 2cos 2t
Really just want the most mathematically pure, evenly spaced, and most basic form of the knot, so want to create it by formula, and without variation, but struggling trying to figure out how to use the above equations to define a spline in C4d.
The scale is pretty small with those numbers but you can either make it bigger by using multipliers in the math or just scale it up afterwards. It's also not a closed spline as parametric so it has to be made editable and closed there. If the length is one radian (6.283) it seems easiest to weld the two end points.
Working great with camera inside following spline except:
1) The only way I could figure out how to make it loop was to put keyframes on first frame, and one frame beyond last frame. Did this for camera, for camera target (null 7% ahead on spline), and light source (15% ahead on spline) It's not quite working, though. Even after I open up the f curves and make sure they're exactly on right values, and set to constant velocity, there's still a jump at the loop point. This is much worse for the other objects that were offset from 0 starting point since the program really doesn't seem to like looping from a negative value,or to one over 100%.
Is there a better way to handle this? One that is more flexible? If I just want to speed or slow the animation at this point, it's going to be a bit of a hassle as is.
2) I thought the rotations would be smooth, but they actually seem rather sudden. I see that the camera uses hpb rotation coordinates while following the spline, and that the bank value does not change. Is there perhaps a way to set some sort of formula for the bank to even it out... for instance so that if you swept the spline with a square, you could always have a certain side facing down? (at least from the perspective inside the knot)
3) Still trying to figure out how I can apply textures in After effects. Just not seeing that option anywhere, and I'm trying to wrap it with images that are dynamically created inside AE.