Math in Modular Origami

Here are some of my interesting mathematical questions surrounding modular origami.

Piece Design

No matter how the piece is designed, the vast majority of modular origami units contain pockets and connectors that can be inserted into each other. Angle problems arise when we consider how the pieces fit together.

The second link will discuss more general methods beyond Penultimate units.

Colorings and Structural Symmetry

Combinatorial questions arise when we assemble units of different colors together. Naturally, we would want to arrange the colors in some sort of symmetric way.