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geom3d

  

RotatoryReflection

  

find the rotatory-reflection of a geometric object.

 

Calling Sequence

Parameters

Description

Examples

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

withgeom3d:

pointA,1,1,1,pointB,1,0,0,pointC,0,1,0,pointE,1,1,0:

planep,B,C,E,linel,B,NormalVectorp:

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

RotatoryReflectionA1,A,p,π4,l

A1

(1)

coordinatesA1

122+1,122,1

(2)

Define the inverse transformation

RotatoryReflectionA2,A1,p,2ππ4,l

A2

(3)

Checking:

coordinatesA=coordinatesA2

1,1,1=1,1,1

(4)

See Also

geom3d[objects]

geom3d[reflection]

geom3d[rotation]

 


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