Unit origami
Unit origami uses multiple sheets of paper to construct objects more complicated than can be made from single sheets. Each piece of paper is folded into a unit, or module, with tabs and pockets. The units can be joined into three-dimensional shapes by inserting the tab of one unit into the pocket of another unit. Here are two units partially joined:
I’m using paper from a memo cube with eight colors. The sheets are about three inches square, and after folding, the units have about a one-inch square with two pockets, with two triangular tabs half the size of the square. There are a number of different ways to create the units, and here is a tutorial. The units aren’t exactly like the ones in my picture, but it’s the best tutorial I could find.
It was hard to make the first unit from the instructions, but once I made one, the next one was easy. Six units make a cube, also very easy. The other figures were a bit harder to visualize, but the paper has a logic of its own and the tabs know where they want to go.
I suppose the next question is how many different cube can be made with the materials at hand. I figure there are 56 ways to choose six different colors from my palette of eight, and 15 different ways to arrange six colors into a cube, for 840 cubes total. More if I use fewer than six different colors per cube.