#52 Conformal Geometric Algebra
This is a suggestion for adding something new to "under the hood" of Asymptote. There are new methods in computer graphics base on conformal geometric algebra as described in-
http://www.geometricalgebra.net/
additionally free c++ libraries implementing geometric algebra (Clifford algebra) exist -
http://glucat.sourceforge.net/
It would be worth the Asymptote developers while to look at the book -
"Geomtric Algbra for Computer Scientists" by Leo Dorst
and evaluate the new methods he has developed (documented) for 3d graphics. For example in conformal geometric algebra translations, dialations, inversions, and rotations in 3d can be encoded as rotations of null vectors in 5d. It is also simple to treat non-Euclidian geometric (spherical, hyperbolic, etc.) in both 2 and 3 dimensions (actually in n-dimensions).