Definition:Adjacent (Geometry)
Definition
In the context of Polygons
Adjacent Side to Vertex
Each vertex of a polygon is formed by the intersection of two sides.
The two sides that form a particular vertex are referred to as the adjacents of that vertex, or described as adjacent to that vertex.
Adjacent Sides
Two sides of a polygon that meet at the same vertex are adjacent to each other.
Adjacent Vertex to Side
Each side of a polygon intersects two other sides, and so is terminated at either endpoint by two vertices.
The two vertices that terminate a particular side are referred to as the adjacents of that side, or described as adjacent to that side.
Adjacent Vertices
Those two vertices are described as adjacent to each other.
In the context of Polyhedra
Adjacent Face to Vertex
Each vertex of a polyhedron is formed by the intersection of a number of faces.
The faces that form a particular vertex are referred to as the adjacents of that vertex, or described as adjacent to that vertex.
Adjacent Face to Edge
Each edge of a polyhedron is formed by the intersection of two faces.
The faces that form a particular edge are referred to as the adjacents of that edge, or described as adjacent to that edge.
Adjacent Faces
Two faces of a polyhedron that meet at the same vertex are adjacent to each other.
Adjacent Edge to Face
The edges that intersect at a particular face are referred to as the adjacents of that face, or described as adjacent to that face.
Adjacent Edge to Edge
Two edges of a polyhedron that intersect at a particular vertex are referred to as adjacent to each other.
Adjacent Vertex to Face
The vertices that intersect a particular face are referred to as the adjacents of that face, or described as adjacent to that face.
Also see
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): adjacent: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): adjacent: 1.