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The third dimension isn't the one you're thinking of
The rules of this game of chess, played on a standard
board, call for a theoretically infinite number of
boards reflecting all past and future positions from
game. A single additional rule is in effect: Each
is allowed, as his turn, to swap a square in the game
with that square as it was at a previous OR LATER
point in time.
If taken from a previous point
time the game reverts to that point but with that
square replaced with the new one, and that many
moves ahead that square changes again to reflect
change. For example I move my queen's pawn
for my first move, my queen forward one for my
second move, and my queen back for my third move.
On the fourth move it would be legal to put my
in play from my third move on that square. At that
point the game would revert to the game at move
three when the queen was there, but without my
queen. I would have my move and the next turn I
would have two queens, just for that turn. The next
turn my queen from the original position would
The same would happen if I
to swap a square from later in the game: the game
would revert upon that turn being reached, with
EDIT: If the later board position is occupied the time travel can't
be done and the extra piece is forfeited.
5d chess with multiverse and time travel
I'm not entirely sure this is humanly playable, but the video lays out some intriguing ideas. [zen_tom, Aug 31 2020]
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||"Now, before I begin the lesson, will those of you
who are playing in the match this afternoon move
your clothes down onto the lower peg immediately
after lunch, before you write your letter home, if
you're not getting your hair cut, unless you've got a
younger brother who is going out this weekend as
the guest of another boy, in which case, collect his
note before lunch, put it in your letter after you've
had your hair cut, and make sure he moves your
clothes down onto the lower peg for you..."
||Time as the third dimension...wait, didn't we just have this
||You might need to make an exception to prevent a player
doing this when in check. Otherwise, (1) there are too
many dimensions for the king to escape into and (2), even if
the king stays put, the attacking piece could just be waved
away into the future.
||//even if the king stays put, the attacking piece could just be waved away into the future.//
||How? You don't get to send the other player's pieces into the future.
||The idea description says you can swap a square. It does not
restrict that to squares occupied by your own pieces.
||I had a few games on the linked 5d version, and can say
it's a neat variant. You can play a normal move, or start a
new multiverse branch, peeling off a piece from the
current board, and placing it on an adjacent parrallel one
- I had a game where a parallel universe existed with
three of my queens on the same board, chasing down a
couple of rogue kings who had each absconded from another
dimension - it was all pretty wild.
||In another round, I was skewered in the mid-game by a
rogue bishop travelling back in time more than 5 moves
previous to put my king in a check.
||Order is preserved by limiting the frequency a player can
make use of time-travel or a parallel universe - and
causality is preserved by timetravel branching a new
parallel board played simultaneously with the others.
||Interestingly, pieces move in the other dimensions in the
same way they move in normal dimensions - so a knight
can jump up two squares, and then over a single step into
an adjacent parallel universe. Diagonals become strange
over multiple parallel boards, each universal slice either
in the parallel direction, or through time behaving like
another layer of a multidimensional lattice.
||I've only toyed around, but it's been properly thought
through it seems.