Posted by **Josh** on Tuesday, May 8, 2012 at 10:55am.

In discussing Frieze Groups it was assumed that there is a smallest positive translation along the axis. All translations for the pattern form a subgroup. Consider the axis to be the Reals and G to be a subgroup under +. Look at the infimum T of all strictly positive elements of G.

a) Show that if T is not the minimum of the strictly positive elements of G then T=0.Of course if T is minimum then T>0.