A set of acoustic components having complementarily tessellated shapes such that they may be nested together to constitute a rectangular parellelepiped, suitable for efficient storage and shipping. Each component also has a flat side. The shape set is further defined such that many aesthetically attractive, sculpture-like configurations may be created through installation of the components on a flat surface of a building such as a wall or ceiling, while substantially modifying the acoustic properties of the building feature. Acoustically absorptive, reflective, and diffusive components can be used in combinations with each other in order to achieve desired acoustic treatment of the building feature. Several methods of fabrication of the acoustic components are disclosed.