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
![](Files/Icosahedron.en/details_1.png)
- Icosahedron is also known as regular icosahedron.
- Icosahedron can be used as a geometric region and graphics primitive.
- Icosahedron[] is equivalent to Icosahedron[{0,0,0},1].
- Icosahedron[l] is equivalent to Icosahedron[{0,0,0},l].
- CanonicalizePolyhedron can be used to convert an icosahedron to an explicit Polyhedron object.
- Icosahedron can be used in Graphics3D.
- In graphics, the points and edge lengths can be Scaled and Dynamic expressions.
- Graphics rendering is affected by directives such as FaceForm, EdgeForm, Opacity, Texture and color.
- The following options and settings can be used in graphics:
-
VertexColors Automatic vertex colors to be interpolated VertexNormals Automatic effective vertex normals for shading VertexTextureCoordinates None coordinates for textures
![](Files/Icosahedron.en/Image_1.gif)
Examples
open allclose allScope (6)
Graphics (4)
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:
Text
Wolfram Research (2019), Icosahedron, Wolfram Language function, https://reference.wolfram.com/language/ref/Icosahedron.html.
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