Introduction: fractal geometry has been implemented to study natures’ irregular objects with diverse applications in medicine, from characterizations of human structures such as the division of bronchial or arterial trees to the diagnosis of abnormal cells, as it has been evidenced in the study of neoplasms. In this investigation, a characterization of the degree of irregularity of histologic samples of normal and thyroid gland neoplasms was developed in the context of fractal and Euclidean geometry.