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One of the eight regions of space defined by the eight possible combinations of signs (+/-,+/-,+/-) for x, y, and z.

A 48-faced polygon.

An 8-polyiamond.

In the American system, 10^(27).

In the American system, 10^(57).

The appropriate notion of integer for surreal numbers.

A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.

An orbifold is the object obtained by identifying any two points of a map which are equivalent under some symmetry of the map's group.

A simple way to enumerate some types of groups due to J. H. Conway (Zwillinger 1995).

A geometry constructed without reference to measurement. The only primitive concepts are those of points and intermediacy. There are 10 axioms underlying ordered geometry.