Reflecting a Lattice of Points
Reflecting a Lattice of Points
Reflect a set of points in a mirror:• The center is (a,b,c).• The line is , which joins the origin to the center.• The plane is ++=1, so that , , are the intercepts.
3
n
1
2
x=at,y=bt,z=ct
x
a
y
b
z
c
a
b
c
Or reflect points in the plane:• The center is (a,b,0).• The line is +=1, double-intercept form.• The plane is the plane, in which case the reflection is the identity.
2
n
xy
1
2
x
a
y
b
xy