  Kontsevich and Soibelman constructed integral affine manifolds with
singularities (IAMS, for short) for maximal degenerations of polarized
Calabi-Yau manifolds in a non-Archimedean way. On the other hand, for each
maximally degenerating family of polarized Calabi-Yau manifolds, we can
consider the Gromov-Hausdorff limit of the fibers. It is expected that this
Gromov-Hausdorff limit carries an IAMS-structure. Kontsevich and Soibelman
conjectured that these two types of IAMS are the same. This conjecture is
believed in the mirror symmetry context. In this paper, we prove the above
conjecture for maximal degenerations of polarized Kummer surfaces.
