Ben Reiniger wrote on Fri, Feb 24, 2012 01:55 PM EST:
Not sure if this really belongs as a comment on this page, but here goes.
Raumshach is a bit like a diagonal game, but in higher dimensions diagonal starts to have different meanings (the colloquial 'triagonal', etc.) I've taken to giving the number of dimensions that are 'lateral' versus those that are 'attacking'. So Raumschach is 1-lateral and 2-attacking. Some of the very large 3D (8x8x8) variants are 2-lateral and 1-attacking. Most 4D variants are 2-lat and 2-att. Ordinary chess is 1-lat and 1-att, whereas Diagonal chess is 0-lat and 2-att.