How to Make a Paper Vase Without Curves

Today I'll tell you how to model a paper vase with the segment method. It seems the vase has curves but these are approximately approached by edges and polygons.
At first I came to an idea to divide a vase into two parts (P1 and P2, see 3rd screenshot). 
You have 2 objects that look like a Hyperboloid and an Ellipsoid. One object has a 'negative' (slender) and the other one a 'positive' (bulbous) curve. 
The approximation and the unions of the segments turns into a blocky vase.   

Step 1: CP-Samples of the Vase

Here you can dl the cp samples of the 6 and 8 segment (slender, bulbous) vase.

red: valley folds
blue: mountain folds
black: cutting lines 

Step 2: Glue and Assemble

Cut the segments and prefold. Glue the parts together.

Step 3: Variations

You can naturally also make variations with different shapes and forms.


Happy Crafting!