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The leaning tower of Piezo
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Board games played on a grid-like
board are bounded by their perimeters.
An infinite board (cf. [Voice]'s
annotation - see link) would remove
this constraint and provide an
infinite and unbounded playing
surface. However, simulations show
that folding up and putting away an
surface at the end of
the game would both take an infinite
amount of time (even if folding it in
half, in half again, etc., if we
assume that each fold takes the same
time to do), and require an infinite
sized games box to store the game in.
As a compromise, if an
infinite and unbounded playing surface
is impractical, how about a finite but
unbounded surface - e.g.a sphere? A
spherical scrabble or chess board
could be rapidly inflated and use some
sort of velcro-like mechanism to stick
the playing pieces to it. Creating a
regular grid on the surface of the
sphere for the playing surface is a
challenge but there are a few ways of
doing this. The minor difficulties in
design of the game and setting up the
game are more than balanced by the
additional opportunities for strategy
provided by the removal of board edges
and the ability for play 'moves' to
'wrap around' the board.
(Note that this idea is not the same
as just adding a rule to a regular 2-D
board to say that if you go off one
edge you come back on the opposite
edge. Oh no, not at all, it's quite
[hippo, Sep 18 2017]
||The rule you mention at the end would make it a toroidal
board rather than a spherical one, so this is true. As I
mentioned before, I had something in the works which I
shall now post.
||[19thly] you're quite right - I was confusing my
spheres and toroids there!
||Although a toroidal board would also be interesting, as
would a Möbius strip-shaped one.
||As would scrabble on a regular board, but a
transparent board which could be played on either
side. You'd obviously only be able to play palindromes
and it would work best on zero-g, with the board
floating between the players.
||Palindromes made of letters with vertical symmetry.
||You could do it underwater.
||Would you do it underwater ? Would you do it with your daughter ? Would you do it in a car ? Would you do it in a bar ? Would you do it for a laugh ? Would you do it in the bath ?
||I would do it in the bath. I would do it for a lath. I would
like to do some math, when I do it in the bath. I would play
it with my daughter. With my daughter underwater. Playing
it, she me would slaughter.
||I would play it up in space, I would lose with little
grace; I would play it with your daughter, because
you say I really oughta; In poetry, I like to dabble,
but really I prefer some Scrabble
||"Palindromes made of letters with vertical symmetry."
||SWIMS reads the same upside down backwards
||I think [nineteenthly] may have been hinting at this.