  The integrated mean curvature of a simplicial manifold is well understood in
both Regge Calculus and Discrete Differential Geometry. However, a well
motivated pointwise definition of curvature requires a careful choice of volume
over which to uniformly distribute the local integrated curvature. We show that
hybrid cells formed using both the simplicial lattice and its circumcentric
dual emerge as a remarkably natural structure for the distribution of this
local integrated curvature. These hybrid cells form a complete tessellation of
the simplicial manifold, contain a geometric orthonormal basis, and are also
shown to give a pointwise mean curvature with a natural interpretation as a
fractional rate of change of the normal vector.
