  A new solution of four-dimensional vacuum General Relativity is presented. It
describes the near horizon region of the extreme (maximally spinning) binary
black hole system with two identical extreme Kerr black holes held in
equilibrium by a massless strut. This is the first example of a
non-supersymmetric, asymptotically flat near horizon extreme binary black hole
geometry of two uncharged black holes. The black holes are co-rotating, and the
solution is uniquely specified by the mass. The binary extreme system has
finite entropy. The distance between the black holes is fixed, but there is a
zero-distance limit where the objects collapse into one. This limiting geometry
corresponds to the near horizon extreme Kerr (NHEK) black hole.
