  This article considers proximal planar shapes in terms of the proximity of
shape nerves and shape nerve complexes. A shape nerve is collection of
2-simplexes with nonempty intersection on a triangulated shape space. A planar
shape is a shape nerve complex, which is a collection of shape nerves that have
nonempty intersection. A main result in this paper is the homotopy equivalence
of a planar shape nerve complex and the union of its nerve sub-complexes.
