  We extend Fibonacci numbers with arbitrary weights and generalize a dozen
Fibonacci identities. As a special case, we propose an elliptic extension which
extends the $q$-Fibonacci polynomials appearing in Schur's work. The proofs of
most of the identities are combinatorial, extending the proofs given by
Benjamin and Quinn, and in the $q$ case, by Garrett. Some identities are proved
by telescoping.
