This article is written in American English, which has its own spelling conventions (color, defense, traveled) and some terms that are used in it may be different or absent from other varieties of English. According to the relevant style guide, this should not be changed without broad consensus.

Needs Diagram

This article could do with a diagram to illustrate what it means, like the one in the Moore neighborhood article. Donal Fellows (talk) 19:43, 9 August 2009 (UTC)[reply]

There is a nice diagram on wolfram - is it possible that wikipedia has an agreement with them to use (some of) their content? --Drevicko (talk) 13:13, 4 July 2010 (UTC)[reply]

Incorrect neighborhood

"The von Neumann neighbourhood of a point is the set of points at a Manhattan distance of 1."

This neighborhood is different from the one defined in the cited reference; specifically it does not include the center point itself. Mathworld cites Gray and they have identical definitions. Gray's article is a response to Stephen Wolfram's work "A New Kind of Science" which does not explicitly speak of the von Neumann neighborhood but mentions that the 9-cell neighborhood was considered by von Neumann. — Preceding unsigned comment added by Arketyp (talk • contribs) 12:33, 23 July 2013 (UTC)[reply]

Definition

As for Moore neighborhood, I have changed the definition of the neighbourhood to include the cell itself. Although this may look non-intuitive for persons not familiar with CA literature, there is a strong reason on why the neighb. should include the central cell itself: in the formal definitions of CA, the neighbourhood represents all the cells to which the central cell have access. A definition where the central cell is excluded is well possible and it simply means that a cells ignores its own state, which is not the case here. Baba Arouj (talk) 13:43, 17 August 2016 (UTC)[reply]