Talk:Von Neumann neighborhood

=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)


 * 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)

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)

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)