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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Visualization and Graphics
>
Symbolic Graphics Language
>
Graphics Objects
>
Built-in
Mathematica
Symbol
Three-Dimensional Graphics Primitives
Tutorials »
|
Polygon
Rectangle
GraphicsComplex
Sphere
See Also »
|
Graphics Objects
Symbolic Graphics Language
More About »
Cuboid
Cuboid
[{
x
min
,
y
min
,
z
min
}]
is a three-dimensional graphics primitive that represents a unit cuboid, oriented parallel to the axes.
Cuboid
[{
x
min
,
y
min
,
z
min
}, {
x
max
,
y
max
,
z
max
}]
specifies a cuboid by giving the coordinates of opposite corners.
MORE INFORMATION
Each face of the cuboid (rectangular parallelepiped) is effectively a
Polygon
object, with its front face on the outside.
You can specify how the faces and edges of the cuboid should be rendered using the same graphics directives as for polygons.
»
Cuboids can be specified as transparent using
Opacity
directives.
»
The coordinates of the corners of the cuboid can be given using
Scaled
.
»
Cuboid
[]
is equivalent to
Cuboid
[{0, 0, 0}]
.
EXAMPLES
CLOSE ALL
Basic Examples
(4)
A unit cuboid:
Two unit cuboids:
Cuboids with different sizes:
Differently styled cuboids:
A unit cuboid:
In[1]:=
Out[1]=
Two unit cuboids:
In[1]:=
Out[1]=
Cuboids with different sizes:
In[1]:=
Out[1]=
Differently styled cuboids:
In[1]:=
Out[1]=
Scope
(9)
A unit cube:
A cuboid parallel to each axis:
Short form for a unit cube cornered at the origin:
Use
Scaled
coordinates:
Color directives specify the face colors of cuboids:
FaceForm
and
EdgeForm
can be used to specify the styles of the faces and edges:
Different properties can be specified for the front and back of faces using
FaceForm
:
Cuboid with different specular exponents:
White cuboid that glows red:
Opacity
specifies the face opacity:
Applications
(4)
A simple 3D bar chart:
Show a sequence of steps in the evolution of a 3D cellular automaton:
Use as a simple way to visualize volumes:
Hyperboloids:
Properties & Relations
(1)
Use
Rotate
to get all possible cuboids:
Neat Examples
(2)
Random cuboid collections:
A pyramid with random color cubes:
SEE ALSO
Polygon
Rectangle
GraphicsComplex
Sphere
TUTORIALS
Three-Dimensional Graphics Primitives
MORE ABOUT
Graphics Objects
Symbolic Graphics Language
RELATED LINKS
Demonstrations with Cuboid
(
Wolfram Demonstrations Project
)
NKS|Online
(
A New Kind of Science
)
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