ABSTRACT
What our analysis will show is that Class I Equal-arcs (three great circles) and Class II triacon produce the most uniform distribution of points on a sphere, and the most uniform face orientations of the schemas we developed. They also offer additional advantages. Triacon has the fewest different chord lengths, the fewest different face angles, and the largest number of equal-sized and equal-shaped faces by far. It is a superior performer. Equal-arcs (three great circles) is also a superior performer, with more variation than the triacon, but very uniform overall. It offers superior face orientations and a high percentage of symmetrical parts. However, these two schemas are not the last word. Mid-arcs and Equalchords both offer unique features that make them preferred choices in certain applications.
