age assembles functions that generate samples of points uniformly
from the surfaces of embedded manifolds. An <em>embedding</em> is a one-to-one
continuous map \(f:M\to X\) from a manifold \(M\) to a Euclidean
coordinate space \(X\), and each function relies on a <em>parameterization</em> of
\(M\) given by a continuous bijective function \(p:S\to f(M)\) that may
identify some points of \(s\) (boundary or interior) to produce the
topology of \(M\). (This means that the inverse of \(p\) may not be
continuous.