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geom3d

  

translation

  

find the translation of a geometric object with respect to a directed segment.

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

translation(Q, obj, AB)

Parameters

Q

-

the name of the object to be created

obj

-

geometric object

AB

-

directed segment

Description

• 

In translation, the set S of all points of unextended space is mapped onto itself by carrying each point P of S into a point P1 such that the directed segment PP1 is equal and parallel to a given directed segment AB.

• 

The directed segment AB is called the vector of the translation.

• 

The command with(geom3d,translation) allows the use of the abbreviated form of this command.

Examples

withgeom3d:

Define a stellated icosahedron where the core having center (0,0,0), radius of the circum-sphere 1

stellateico1,icosahedronico,pointo,0,0,0,1,20

ico1

(1)

Define directed line segment A(0,0,0), B(5,0,0)

dsegmentAB,pointA,0,0,0,pointB,5,0,0:

Translate ico1 with respect to the directed segment AB

translationico2,ico1,AB

ico2

(2)

Plotting:

drawico1,ico2,style=patch,orientation=0,32,lightmodel=light4,title=`translation of a stellated icosahedron`

See Also

geom3d[objects]

geom3d[segment]

geom3d[transformation]

 


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