[PIF]

Amenhotep II of the 12th Dynasty, not III, sorry. Very close match and right head dress for the period. The 25th did not use that head dress.

See "The Sphinx Mystery" by R Temple, pp. 187-195, figures 4.29 & 4.30 (Sphinx A23).

[SunkenCiv]

There was no such pharaoh of the 12th dynasty. I'd guess you mean Amenemhat_II. And the style of those pharaohs who were in the 12th does indeed match with the Great Sphinx. See also Senwosret III as a Sphinx.

• image search

  Here's one of the 18th dynasty pharaonic sphinxes:

• Thutmose III

  One of his successors, Thutmosis IV, had the Dream Stele erected after clearing the Sphinx enclosure of sand. The problem with the pharaohs of the 18th (and the 4th, for that matter) was their lack of the jutting chin seen on the Great Sphinx itself -- more likely black African.