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geom3d[parallelepiped] - define a parallelepiped

Calling Sequence

parallelepiped(pp, [d1, d2, d3])

Parameters

pp

-

name of the parallelepiped

d1, d2, d3

-

three directed segments having a common initial point

Description

• 

A parallelepiped is a polyhedron bounded by six parallelograms. It can be defined from three given directed segments having a common initial point.

• 

To access the information related to a parallelepiped pp, use the following function calls:

form(pp)

returns the form of the geometric object

 

(that is, parallelepiped3d if pp is a parallelepiped).

 

See geom3d[form].

DefinedAs(pp)

returns the list of three directed segments

 

defining pp. See geom3d[DefinedAs].

detail(pp)

returns a detailed description of the

 

parallelepiped pp. See geom3d[detail].

• 

This function is part of the geom3d package, and so it can be used in the form parallelepiped(..) only after executing the command with(geom3d). However, it can always be accessed through the long form of the command by using geom3d[parallelepiped](..).

Examples

withgeom3d:

Define four points A, B, C, and E.

pointA,0,0,0,pointB,4,0,0,pointC,5,5,1,pointE,0,2,5:

Define three directed segments d1, d2, and d3 with initial point A and end points B, C, and E respectively.

dsegmentd1,A,B,dsegmentd2,A,C,dsegmentd3,A,E:

Use d1, d2, and d3 to define the parallelepiped pp.

parallelepipedpp,d1,d2,d3

pp

(1)

formpp

parallelepiped3d

(2)

DefinedAspp

d1,d2,d3

(3)

detailpp

name of the objectppform of the objectparallelepiped3dthe 6 parallelogram faces of the object0,0,0,4,0,0,9,5,1,5,5,1,0,2,5,4,2,5,9,7,6,5,7,6,0,0,0,4,0,0,4,2,5,0,2,5,4,0,0,9,5,1,9,7,6,4,2,5,5,5,1,9,5,1,9,7,6,5,7,6,0,0,0,5,5,1,5,7,6,0,2,5coordinates of the 8 vertices0,0,0,4,0,0,5,5,1,9,5,1,0,2,5,4,2,5,5,7,6,9,7,6

(4)

See Also

geom3d[DefinedAs], geom3d[detail], geom3d[dsegment], geom3d[form], geom3d[polyhedra]


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