Figure 4. Entropy of crease patterns as a function of face bending energy.

We sampled ∼10⁵ random quad meshes made of A quads (for A=1, 2, 4, 6), folded them with the same fixed Mountain-Valley choice and noted the face bending energy per quad . The entropy of patterns is . is the number of random patterns in an energy interval d log .). Thus the probability of finding a soft crease pattern in a random ensemble diminishes exponentially with mesh size A (for fixed ) but only as a power law in energy (for fixed A).