There have been other versions of Pyramid Chess. Some have involved special pieces and an Egyptian theme. This is not one of them.
 
The playing field is a standard 8x8 board, with a 6x6 board, a 4x4 board and 2x2 board stacked and centered above.
This version utilizes standard pieces, arrayed in standard format on the bottom level, with six extra Pawns located on first rank of the next level.

• The Pawn moves upon each level according to standard rules. In addition, it changes level by capture moves only. The level capture move consist of changing one level diagonal(not oblique) forward. They promote upon reaching the final rank of any platform.
  There is still the two-step first move and En Passant.
• The Rook slides orthogonally up or down.
• The Bishop slides diagonally(not oblique) up or down.
• The Knight can jump one level and two squares orthogonal, or two levels then one square orthogonal.
• The Queen slide diagonally(not oblique) and orthogonally up or down.
• The King steps one space diagonal(not oblique) or orthogoanl up or down.
• Castling is normal.