Cross Chess in Cross Chess from Gliński's and Shafran's hexagonal variants, resulting in move possibilities more akin to standard chess. (E.g., a bishop has six diagonal move directions in Glinski's hex chess, whereas a Cross Chess bishop has four directions; a rook has six directions in Glinski's, whereas along ranks and on the Cross Chess board, it has four.) As with hex-based boards, three cell colors are used, but same-color cells highlight horizontal ranks on the Cross Chess board, not diagonals. The diagram shows the starting setup. Special rank and diagonal paths determine how pieces move, as described below. Check, checkmate, and
How many angels can dance on the head of a pin? about how many could perch at the same time on the head of a pin"". Dorothy L. Sayers argued that the question was "simply a debating exercise" and that the answer "usually adjudged correct" was stated as, "Angels are pure intelligences, not material, but limited, so that they have location in space, but not extension." Sayers compares the question to that of how many people's thoughts can be concentrated upon a particular pin at the same time. She concludes that infinitely many angels can be located on the head of a pin, since they do not occupy any space there: