find the rotatory-reflection of a geometric object. - Maple Help

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geom3d[RotatoryReflection] - find the rotatory-reflection of a geometric object.

Calling Sequence

RotatoryReflection(Q, P, p, theta, l)

Parameters

Q

-

the name of the object to be created

P

-

geometric object

p

-

plane of reflection

theta

-

angle of rotation

l

-

the axis of rotation

Description

• 

A rotatory-reflection is the product of a reflection in a plane and a rotation about a fixed axis perpendicular to the plane.

• 

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

• 

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

Examples

with(geom3d):

point(A,1,1,1), point(B,1,0,0),point(C,0,1,0),point(E,1,1,0):

plane(p,[B,C,E]), line(l,[B,NormalVector(p)]):

Define the rotatory-reflection in the plane p about angle Pi/4 with respect to l

RotatoryReflection(A1,A,p,Pi/4,l);

A1

(1)

coordinates(A1);

122+1,122,1

(2)

Define the inverse transformation

RotatoryReflection(A2,A1,p,2*Pi-Pi/4,l);

A2

(3)

Checking:

coordinates(A) = coordinates(A2);

1,1,1=1,1,1

(4)

See Also

geom3d[objects], geom3d[reflection], geom3d[rotation]


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