The base unit you are working with is a hyperbolic paraboloid, which is a surface talked about in multivariable calculus and other fields of math. Don't let its mathematical underpinnings scary you, it is a simple shape to fold.
This instructable is inspired by the work of Professor Erik Demaine. I HIGHLY recommend going to his website to see how he folds a hyperbolic paraboloid. The instructions here for folding a hyperbolic paraboloid are more of a supplement to Demaine's instructions. The main focus of this instructable is making a hyperbolic paraboloid cube using 24 hyperbolic paraboloid units.
Step 1: Gathering Knowledge and Supplies
Things you will need for this instructable:
24 sheets of square paper - The color does not matter. I color coded the sides for this instructable to make it easier to see the different sides of the finished "cube". Also, if you can, use good paper. It's completely possible to use cheap paper for this, as I did, but it will be much sturdier if you use good quality paper.
Double-sided tape - This is the best method I could think of for attaching the hyperbolic paraboloid units together. You could use glue or some other tape, but I highly recommend double-sided tape.
Thread, a needle, and masking tape - This is optional and only needed if you plan on hanging your finished sculpture.