Let be the line in the direction of the unit vector u through the point a.
Question:
(a) Write down the formula for the affine map defining the reflection through the line ℓ.
(b) Write down the formula for the glide reflection, as defined in Exercise 7.3.16, along ℓ by a distance d in the direction of u.
(c) Prove that every improper affine plane isometry is either a reflection or a glide reflection.
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a Fx Rx a a where R 2uu T I is the elementary reflection matrix corr...View the full answer
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