Cuboid
Cuboid[pmin]
represents a unit hypercube with its lower corner at pmin.
Cuboid[pmin,pmax]
represents an axis-aligned filled cuboid with lower corner pmin and upper corner pmax.
Details and Options
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- Cuboid is also known as interval, rectangle, square, cube, rectangular parallelepiped, tesseract, hypercube, orthotope, hyperrectangle, and box.
- Cuboid represents the region
where
and
.
- Cuboid[] is equivalent to Cuboid[{0,0,0}].
- CanonicalizePolyhedron can be used to convert a cuboid to an explicit Polyhedron object.
- Cuboid can be used in Graphics and Graphics3D.
- In graphics, the points pmin and pmax can be Scaled, ImageScaled, Offset, and Dynamic expressions.
- Graphics rendering is affected by directives such as FaceForm, EdgeForm, Opacity, and color.
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Examples
open allclose allBasic Examples (5)
Scope (21)
Graphics (11)
Specification (3)
Styling (5)
Regions (10)
Embedding dimension is the dimension of the space in which the cuboid lives:
Geometric dimension is the dimension of the shape itself:
Get conditions for point membership:
The equidistance contours for a cuboid:
Nearest points to an enclosing sphere:
Integrate over a cuboid region:
Applications (8)
Define a cuboid region by length, width, and height:
Total mass for a cuboid region with density given by :
Find the mass of ethanol in a cuboid:
Mass of ethanol in the cuboid:
Create a bounding box from RegionBounds:
Compute the difference in Volume:
Show a sequence of steps in the evolution of a 3D cellular automaton:
Properties & Relations (8)
Use Transpose to convert Cuboid to a range specification:
And conversely, a range specification to a Cuboid specification:
Use Rotate to get all possible cuboids in Graphics3D:
Polygon is a generalization of Cuboid in 2D:
Rectangle is a special case of Cuboid:
Hexahedron is a generalization of Cuboid:
ImplicitRegion can represent any Cuboid:
Parallelepiped can represent any Cuboid:
Cuboid is a norm ball for the -norm:
Text
Wolfram Research (1991), Cuboid, Wolfram Language function, https://reference.wolfram.com/language/ref/Cuboid.html (updated 2019).
CMS
Wolfram Language. 1991. "Cuboid." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2019. https://reference.wolfram.com/language/ref/Cuboid.html.
APA
Wolfram Language. (1991). Cuboid. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Cuboid.html