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An antiprism is a polyhedron consisting of two parallel copies of some polygon, connected by an alternating band of triangles.
A pentagonal antiprism.
A prism is a polyhedron comprising two parallel polygons (bases) joined together by a set of quadrilaterals. In an antiprism, the two bases are twisted in respect of one another, and they are joined together by a series of triangles pointing in alternating direction.
There is no special name. In a prism it would be a quadrilateral, in an antiprism, a triangle.
The mathematical term for "mean" is "mean".The popular, or colloquial term for "mean" is "average".