Extruding The Imaginary Dimension With Blender
Just a little test I made on November 4 (2019), and forgot to post XD
A subdivided plane can be created where the displacement along the z-axis (vertical axis) is dependent on the x and y coordinates of the object (just separate the object texture coordinate into its x and y components)
This video animates a slice of the shape (representing the parabola in 2D space), widening into a third imaginary dimension, making the parabola a parabolic hyperboloid