We propose an aperiodic antenna array to suppress secondary radiation lobes in widely spaced arrays. We show that the use of Fermat's spiral as a template for the antenna array leads to similar results in terms of sidelobe level and bandwidth as those obtained by computationally expensive non-linear optimization methods. Furthermore, by maintaining the distances between neighbors approximately constant, the increase in array footprint is kept approximately within 25% of an equivalent periodic array, a key feature for space-constrained applications. Based on the straightforward computation of our method, we are able to present the results for arrays varying from 4 to 2048 elements and minimal spacing between the antennas up to ten wavelengths.