represents a regular octahedron centered at the origin with unit edge length.


represents an octahedron with edge length l.


represents an octahedron rotated by an angle θ with respect to the z axis and angle ϕ with respect to the y axis.


represents an octahedron centered at {x,y,z}.

Details and Options


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Basic Examples  (3)

An octahedron:

A styled octahedron:

Volume and centroid:

Scope  (6)

Graphics  (4)

Specification  (1)

A single octahedron:

Styling  (3)

FaceForm and EdgeForm can be used to specify the styles of the faces and edges:

Apply a Texture to the faces:

Assign VertexColors to vertices:

Regions  (2)

Embedding dimension is the dimension of the space in which the octahedron lives:

Geometric dimension is the dimension of the shape itself:

An octahedron is bounded:

Find its range:

Introduced in 2019