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A mathematical structure (e.g., a group, vector space, or smooth manifold) in a category.

An angle which is not a right angle or a multiple of a right angle.

An 80-sided polygon.

The star polygon {8/3}.

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.

A mathematical object upon which an operator acts. For example, in the expression 1×2, the multiplication operator acts upon the operands 1 and 2.

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).