Customizable Polygon Morph Vase

A customizable design for a simple faceted container generated by morphing one regular polygon into another. (Technically, the *convex hull* of the two shapes.) For example, the printed sample has a square bottom and an octagonal top.

In addition to the number of sides of the top and bottom polygons, you can customize their radii (to taper the vase instead of expanding it), the height of the vase, and the rotation of the top shape relative to the bottom (useful for aligning different sides).