Re: game of life question



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".

Cheers - Chas

.



Relevant Pages

  • Re: game of life question
    ... and let P denote the set of all subsets of L. Conway's game of life ... determines a mapping T from P to itself. ... Do you mean that P is the set of cells ...
    (sci.math)
  • Re: game of life question
    ... and let P denote the set of all subsets of L. Conway's game of life ... determines a mapping T from P to itself. ... These are usually called "stable configurations". ...
    (sci.math)
  • Re: game of life question
    ... and let P denote the set of all subsets of L. Conway's game of life ... determines a mapping T from P to itself. ... These are usually called "stable configurations". ...
    (sci.math)
  • Gen Yers are not savers
    ... Why financial life is like a football game ... life comprises four quarters of 20 years apiece. ... age and, via the magic of compound interest, you have sufficient funds ... And this includes the creation and management of wealth in preparation ...
    (sci.research.careers)
  • OT: Mondays horoscope
    ... The ball's in your court, and this could be game, set and match. ... Don't rock the love boat just because you're feeling a touch cantankerous, ... You're on the brink of a brand-new epoch of your life. ... In the middle of a tense moment with a friend or loved one? ...
    (alt.med.fibromyalgia)