AbstractThis article deals with a study of novel classes of metamaterial inclusions based on space‐filling curves. The graph–theoretic Hamiltonian‐path (HP) concept is exploited to construct a fairly broad class of space‐filling curve geometries that include as special cases the well‐known Hilbert an Peano curves whose application to metamaterial inclusions has recently been proposed. In this framework, the basic properties of HP are briefly reviewed, and a full‐wave study of the electromagnetic properties of representative grid‐graph HP geometries is carried out. Applications to metamaterial inclusions are explored, with focus on artificial magnetic conductors with reduced polarization‐sensitivity. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48:2520–2524, 2006; Published online in Wiley InterScience (www.interscience.wiley.com).DOI 10.1002/mop.21982