WEDGE (GEOMETRY)

Wedge
Square Pyramid
Faces	2 triangles, 3 quadrilaterals
Edges	9
Vertices	6
Dual polyhedron	?
Properties	convex

In geometry, a 'wedge' is a polyhedral solid defined by two triangles and three trapezoid faces. A wedge has five faces, nine edges, and six vertices.
A wedge is a subclass of the prismatoids.
A wedge can be considered a degenerate digonal cupola with a top face collapsed into an edge.
Wedges can be created from decomposition of other polyhedra. For instance, the dodecahedron can be divided into a central cube with 6 wedges covering the cube faces. The orientations of the wedges are such that the triangle and trapezoid faces can connect and form a regular pentagon.
A triangular prism is a special case wedge with the two triangle faces being translationally congruent.
Comparisons:

★ A wedge is a parallelepiped where a face has collapsed into a line.

★ A quadrilaterally-based pyramid is a wedge in which one of the edges between two trapezoid faces has collapsed into a point.
For a rectangle based wedge, the volume is
:
where the base rectangle is ''a'' by ''b'', ''c'' is the apex edge length parallel to ''a'', and ''h'' the height from the base rectangle to the apex edge.

Contents

References

External link

References

★ Harris, J. W. and Stocker, H. 'Wedge.' §4.5.2 in Handbook of Mathematics and Computational Science. New York: Springer-Verlag, p. 101, 1998.

External link

★