For a 3D version, simply stack 8 3D chessboards in a 2x2x2 square of boards, translate into 3D the rules of Chess on a Really Big Board", and there it is.
What an awful idea.
Each player has 256 Pawns and 256 pieces. The average length of a game is likely to be more that 2000 moves.
No special equipment required, except for a high ceiling and a very strong floor in the room where you do this.
I suppose you might need very long arms to move the pieces, and a telescope to see the enemy King, it's so far away.
I should suggest that you simply repeat the usual opening setup 64 times, just so that I will have completely specified the rules of the game. Now I am on record as having designed the biggest chess variant.
However, in the case of this game, I will actually request that you do NOT try to play this game.