Octahedral prism

Octahedral prism

Schlegel diagram and skew orthogonal projection
Type Prismatic uniform 4-polytope
Uniform index 51
Schläfli symbol t{2,3,4} or {3,4}×{}
t1,3{3,3,2} or r{3,3}×{}
s{2,6}×{}
sr{3,2}×{}
Coxeter diagram


Cells 2 (3.3.3.3)
8 (3.4.4)
Faces 16 {3}, 12 {4}
Edges 30 (2×12+6)
Vertices 12 (2×6)
Vertex figure
Square pyramid
Dual polytope Cubic bipyramid
Symmetry [3,4,2], order 96
[3,3,2], order 48
[6,2+,2], order 24
[(3,2)+,2], order 12
Properties convex, Hanner polytope

Net

In geometry, an octahedral prism is a convex uniform 4-polytope. This 4-polytope has 10 polyhedral cells: 2 octahedra connected by 8 triangular prisms.