Disclosed herein are implementations of acoustic metamaterial structures and geometric configurations of acoustic metamaterial structures which produce sound amplification or cancellation. An acoustic metamaterial device for using with a sound source includes a plurality of fins, where each fin is made from a very dense material with respect to air which creates the anisotropic properties of the acoustic metamaterial device, where each fin has a length dimension, a width dimension, and a thickness dimension, the width and length dimension being equal and substantially perpendicular to the direction of sound wave propagation from the sound source, where each fin is sized different from other fins along the width and length dimension, and where the plurality of fins are interconnected such that planes formed by the width and length dimension of each fin faces perpendicular to the sound wave propagation direction from the sound source.