Nonconventional-shaped optics are being machined for use in laser optical systems. The fabrication processes incorporate special-quality diamond tools and specially constructed turning machines. The shapes produced include axicons (conical-shaped mirrors), waxicons (a compound axicon with a "W" cross section), torics, and multifacet mirrors. Whereas conventional-shaped optics are readily producible by the lapping process, these nonconventional-shaped optics are very impractical to lap. The axicons and waxicons produced were estimated to have surface straightness as good as 5 pin (125 nm), over 3 inches (76 mm) of length, and angular accuracy as good as 2 arc seconds. A toric mirror was estimated to deviate (peak to valley) from a best-fit radius by 4 pin (100 nm) over 2.25 inches (57 mm) of surface length.