Rhombic pyramid

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Rhombic pyramid
Rank3
Elements
Faces4 scalene triangles, 1 rhombus
Edges2+2+4
Vertices1+2+2
Vertex figure1 rhombus, 2+2 scalene triangles
Measures (edge length 1)
Central density1
Related polytopes
DualRectangular pyramid
ConjugateRhombic pyramid
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
Flag orbits8
ConvexYes
NatureTame

A rhombic pyramid is a pyramid based on a rhombus. It has 1 rhombus base and 4 identical scalene triangles as faces.

Rhombic pyramids occur as the cells of duals of some prismatic uniform polychora, particularly ones that are prisms of polyhedra with rectangular vertex figures, since the rectangle is the dual of the rhombus.