4. Consider the frieze shown below: Let t be a minimal translation to the right, hi a reflection across i, and rj a 180 rotation around pj. Let v be the vertical reflection and gi=tiv a glide reflection. A presentation for the frieze group is Frz1:=t,h,vv2=h2=1,th=ht1,tv=vt,hv=vh, where h=h0. A Cayley diagram is shown below. (a) Every symmetry is either a translation ti, glide reflection gj, rotation rk, horizontal reflection he, or the vertical reflection v. Label the vertices of this Cayley diagram with elements written in this form. (b) Now, repeat the previous part, but with for the Cayley diagram for the presentation Frz1:=t,r,vv2=r2=1,tr=rt1,tv=vt,rv=vr. where r=r0. A Cayley diagram is shown below. (c) Determine which symmetries tihti and tirti are for each iZ. 4. Consider the frieze shown below: Let t be a minimal translation to the right, hi a reflection across i, and rj a 180 rotation around pj. Let v be the vertical reflection and gi=tiv a glide reflection. A presentation for the frieze group is Frz1:=t,h,vv2=h2=1,th=ht1,tv=vt,hv=vh, where h=h0. A Cayley diagram is shown below. (a) Every symmetry is either a translation ti, glide reflection gj, rotation rk, horizontal reflection he, or the vertical reflection v. Label the vertices of this Cayley diagram with elements written in this form. (b) Now, repeat the previous part, but with for the Cayley diagram for the presentation Frz1:=t,r,vv2=r2=1,tr=rt1,tv=vt,rv=vr. where r=r0. A Cayley diagram is shown below. (c) Determine which symmetries tihti and tirti are for each iZ