Show Created category list in rotor term

Hi,

I have created category list using taxonomy and it is showing dropdown in my create content-> Page form inside(for user posting page category vice).

I want to display(in frontpage) category list in click able and it want to show rotor by category(term). i mean we know image rotor i want to display same like category want to show rotor at this same i have used category created by taxonomy module. now how can do this my favorably.