This paper discusses the possibility of constructing a resonant element from dielectric material shaped into a helix. The modeling conducted shows that the mode associated with ceramic quarter-wave resonators is present within a coiled dielectric helix, the properties of which are strongly dependent upon the pitch and the thickness of the coils. Some of the helices studies in this paper possess high-quality factors due to the low filling factors associated with the resonant mode. It is intended to use these initial results as design criteria to compare the dielectric helix with existing resonators. The modeling conducted suggests that the analogy with a conductive helix does not apply.