When viewing a profile, it may look slightly different depending on whether you're viewing your own profile (first image below) or someone else's profile (second image).
Looking at your own profile, you can modify your settings and it contains mostly text links for managing your details, while another user's profile will appear slightly differently, containing icons for interaction with that user.
Your own profile:
Another user's profile:
You can edit your profile by going to it and locating “Edit my profile” link on the toolbar right by the search input box or clicking “Manage my: profile” link on your “My profile” widget:
which gives an option to: