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geom3d

  

GlideReflection

  

find the glide-reflection of a geometric object

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GlideReflection(Q, P, p, AB)

Parameters

Q

-

the name of the object to be created

P

-

geometric object

p

-

plane

AB

-

directed segment

Description

• 

A glide-reflection is the product of a reflection in a plane p and a translation of directed segment AB, where AB lies in the plane.

• 

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

• 

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

Examples

withgeom3d:

pointF,0,0,0,pointA,1,0,0,pointB,0,0,1:

Define the plane oxz

linel1,F,A,linel2,F,B,planep,l1,l2:

Define triangle ABC

pointC,1,1,0,triangleT1,A,B,C:

Apply glide-reflection on triangle ABC

dsegmentAB,A,B:

forifrom2to5doGlideReflectionT||i,T||i1,p,ABend do

T5

(1)

Plotting

drawseqT||i,i=1..5,scaling=constrained,style=patch,title=`Glide Reflection`

See Also

geom3d[objects]

geom3d[reflection]

geom3d[translation]

 


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