Fig. 3.

(A) A triangular lattice of sixons together with lines for mountain (dot-dashed) and valley (dashed) folds to create the ground state configuration. (B) The ground state of the pattern in A, with sidewall heights reduced for visual clarity. (C) A reduced triangular representation for an arbitrary height configuration of the lattice, where the numbers inside each triangle correspond to the height of that triangular plateau. Each plateau height differs by one from any plateau with which it shares an edge. (D) The cut-and-fold pattern corresponding to the height map in C, where the gray hexagons are the excised regions.