Parts
1)Irrational NURBs
These are nurbs curves which can't be represented properly with calculus.
2)An infinity of curves from a single vector curve.
Some Curves may take some compute power but may be useful mapping and using to make other types of curves from.
3)A transdimensional graph.
You can draw a grid and distort the grid to to increase in exponential curvature the further along the X axies you are.
Such a grid can be modified to increase such the as the exponent increases it doesn't impact the grid distortion too much.
What you end up with is a curved box curving upwards the further along the X axis you are.
Not only is this interesting but it could assist artists to draw some interesting stuff.
These are issues some of the parallel earth's I've experienced were dealing with.