sevenfaced

Sevenfaced is a descriptive term used for objects that have seven faces. In geometry, the formal name for such objects is heptahedron, and seven-faced polyhedra may be described as seven-faced or seven-faced polyhedra. The term is not tied to a single canonical object; it simply denotes any polyhedron whose surface comprises seven distinct faces. The name derives from the combination of the numbers seven and faced, reflecting the count of faces.

Common examples of seven-faced polyhedra include the hexagonal pyramid, which has a hexagonal base and six triangular faces, totaling seven faces, and the pentagonal prism, consisting of two pentagonal bases connected by five rectangular side faces, also yielding seven faces. Beyond these regular-style instances, many irregular seven-faced polyhedra exist with different arrangements of faces, edges, and vertices. In the theory of regular polyhedra, there is no regular heptahedron, meaning no seven-faced polyhedron with all faces and angles identical.

In practical terms, seven-faced shapes appear in geometry education, computer graphics, and gaming. Seven-faced dice are manufactured for tabletop games, typically in non-regular forms, providing seven possible outcomes. The concept also arises in architectural modeling and design discussions where seven-sided forms are explored for aesthetic or functional purposes.

See also heptahedron, polyhedron, prism, pyramid.