Alpha Sigma Phi's policy on badges is that all are the same size and none of them may be jeweled. In keeping with the non-jeweled badge, they recommend that the chapter guard and officer dangles, if worn, are not jeweled as well.
The official badge:
My badge with Alpha Alpha chapter guard:
The only badge that is larger is that worn by the HSP (chapter president) during the term of his office. It closely approximates the size and design of the original badges worn by our founders in the mid-1800s. If I remember correctly the original badge worn by founder Louis Manigault is worn by the Grand Senior President during his term of office.
The president's badge:
Only the wife or fiancee of a member may wear the badge; other female members of the brother's family (including the wife or fiancee) may wear the Sister Pin, which is adapted from the fraternity badge of Alpha Kappa Pi fraternity. AKPi consolidated with Alpha Sigma Phi in 1946. It is the only fraternity jewelry that may be jeweled.
The Sister Pin (shown unjeweled)