  We prove that the determinant of a Gaussian-correlation matrix V of n evenly
spaced points has leading power n(n-1) in the nearest-neighbor distance between
points. The proof uses Neville elimination to determine all elements of the
upper triangular matrix U of V and provides a factorization of det(V). The
proof makes use of an inter-dimensional multiset duality involving simplices
that emerge during the factorization. We conjecture that V for evenly spaced
points is strictly totally positive.
