find the rotation of a geometric object about an axis - Maple Help

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geom3d[rotation] - find the rotation of a geometric object about an axis

Calling Sequence

rotation(Q, P, g, l)

Parameters

Q

-

the name of the object to be created

P

-

geometric object

g

-

the angle of rotation

l

-

the axis of rotation

Description

• 

In rotation about an axis, each point P of the set S of all points of unextended space is carried into a point P1 of S by rotating P about a fixed line in space through a given angle.

• 

The fixed line is called the axis of rotation.

• 

For a detailed description of the object created Q, use the routine detail (i.e., detail(Q))

• 

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

Examples

with(geom3d):

Define a stellated icosahedron

stellate(ico1,icosahedron(ico,point(o,3,3,3),1.),12);

ico1

(1)

Rotate ico1 about the z-axis

line(l,[0,0,t],t);

l

(2)

rotation(ico2,ico1,evalf(Pi),l);

ico2

(3)

Plotting:

draw([ico1,ico2],orientation=[0,32],style=patch,lightmodel=light4);

See Also

geom3d[objects], geom3d[transformation]


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