Icosahedron

Icosahedron[]

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

Icosahedron[l]

represents an icosahedron with edge length l.

Icosahedron[{θ,ϕ},]

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

Icosahedron[{x,y,z},]

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

Details and Options

Examples

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Basic Examples  (3)

An icosahedron:

A styled icosahedron:

Volume and centroid:

Scope  (6)

Graphics  (4)

Specification  (1)

A single icosahedron:

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 icosahedron lives:

Geometric dimension is the dimension of the shape itself:

An icosahedron is bounded:

Find its range:

Wolfram Research (2019), Icosahedron, Wolfram Language function, https://reference.wolfram.com/language/ref/Icosahedron.html.

Text

Wolfram Research (2019), Icosahedron, Wolfram Language function, https://reference.wolfram.com/language/ref/Icosahedron.html.

BibTeX

@misc{reference.wolfram_2020_icosahedron, author="Wolfram Research", title="{Icosahedron}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/Icosahedron.html}", note=[Accessed: 01-December-2020 ]}

BibLaTeX

@online{reference.wolfram_2020_icosahedron, organization={Wolfram Research}, title={Icosahedron}, year={2019}, url={https://reference.wolfram.com/language/ref/Icosahedron.html}, note=[Accessed: 01-December-2020 ]}

CMS

Wolfram Language. 2019. "Icosahedron." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Icosahedron.html.

APA

Wolfram Language. (2019). Icosahedron. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Icosahedron.html