Re: game of life question
- From: Robert Israel <israel@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Mon, 30 Jul 2007 18:20:04 -0500
Subluxian <cbrown@xxxxxxxxxxxxxxxxx> writes:
On Jul 30, 6:58 am, Allan Adler <a...@xxxxxxxxxxxxxxxxxxxx> wrote:
Let L denote the set of all points of the plane with integer coordinates
and let P denote the set of all subsets of L. Conway's game of life
determines a mapping T from P to itself. Call an element x of P timeless
if there is a sequence x0=x, x1, x2, ... of elements of P such that, for
every positive integer n, we have T(x(n)) = x(n-1).
It seems that you are asking for those elements x in P such that T(x)
= x. These are usually called "stable configurations".
No he isn't. He's asking for configurations that have a possible
ancestry of infinite length.
--
Robert Israel israel@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
.
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