# 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.

n

3

• The center is

1

2

• The line is

x=at,y=bt,z=ct

• The plane is

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.

n

2

xy

• The center is

1

2

• The line is

x

a

y

b

• The plane is the

xy