The article of invention is referred herein as a prime polygon reflector. In its various forms it is a device of predetermined geometric shape with aspects and scalable dimensions derived from a prime number and its mathematical square root. Geometric shapes based on the prime polygon have reflective surfaces that cause multiple internal reflections of incident waveform energy. When used in conjunction with absorptive media, coatings, or linings, the waveform energy is forced to pass through absorptive media multiple times, thereby increasing effectiveness of the media, coating, or lining. Prime polygon reflectors as disclosed herein produce waveform reflections that are non-inverted by causing an even number of internal reflections. Applications include but are not limited to acoustic, solar, and radar energy absorption.