question 2 geometry and algebra Problems 1 Prove directly th

question 2 geometry and algebra

Problems 1 Prove directly that any plane isometry that fixes the origin is linear. z Identity the frieze group that corresponds to the pattern in Figure 10.6 two 3. Let L c R be a lattice. Show that hal turn around the midpoint of any points of L is a symmetry of L. midpoints of the sides of a triangle. Figure 10.6

Solution

Soultion:

It has F7 frieze group called as  SPINNING JUMP.

Because it contains all symmetries translation, horizontal & vertical reflection, and rotation.