A multi-band antenna includes at least one structure useable at multiple frequency ranges. The structure includes at least two levels of detail, with one level of detail making up another level of detail. The levels of detail are composed of closed plane figures bounded by the same number of sides. An interconnection circuit links the multi-band antenna to an input/output connector and incorporates adaptation networks, filters or diplexers. Each of the closed plane figures is linked to at least one other closed plane figure to exchange electromagnetic power. For at least 75% of the closed plane figures, the region or area of contact, intersection, or interconnection between the closed plane figures is less than 50% of their perimeter or area. Not all of the closed plane figures have the same size, and the perimeter of the structure has a different number of sides than its constituent closed plane figures.