
Angle code font:
Each letter or number in this alphabet is type of linkage called a “fixedangle unit 6chain”, meaning that it is a chain of six unitlength segments, and the measured angle between every two consecutive segments is determined. Because only the measured (convex/3D) angle is constrained, each vertex can be configured in two ways, as either a left or a right turn. Equivalently, for each segment, half of the chain can “spin” 180° around that segment, and all measured angles will remain the same. The two ends of the chain (occasionally at the same place) are marked red; this is sometimes necessary to figure out the sequence of angles from the diagram.
Each linkage is designed to have a unique configuration that looks like a letter or number. In the solved font, each linkage is in the intended configuration, so the text can be read directly. In a randomized font, each linkage is in a random configuration (occasionally the intended one), and it is a puzzle to reconstruct the text. In the angle code font, we just give the sequence of measured angles for each chain, making for an even more challenging puzzle to reconstruct the text. Fixedangle linkages arise in geometric folding algorithms as mechanical models of protein folding; see, e.g., Chapters 89 of Geometric Folding Algorithms.
See our paper about this font.
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