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A line segment where two faces of a polyhedron meet, also called a side.

An automorphism which interchanges the two vertices of a regular map at each edge without interchanging the vertices.

The exploration of three-dimensional space from two-dimensional sections of projections of solid bodies.

The Stolarsky mean of two numbers a and c is defined by S_p(a,c)=[(a^p-c^p)/(p(a-c))]^(1/(p-1)) (Havil 2003, p. 121).

For any two points x,y in X, there is an open set U such that x in U and y not in U or y in U and x not in U. A space fulfilling this axiom is called a T0-space.

Two curves both containing the point P are tangent at P if they share the same tangent line at P.

The sum of the angles of a triangle is two right angles. This postulate is equivalent to the parallel postulate.

Let A be a C^*-algebra, then two element a,b of A are called unitarily equivalent if there exists a unitary u in A such that b=uau^*.

If two curves of the same curve genus >1 are in rational correspondence, then that correspondence is birational.

The concatenation of two strings a and b is the string ab formed by joining a and b. Thus the concatenation of the strings "book" and "case" is the string "bookcase". The ...