Abstract: In this paper we describe an algorithm and hardware for the tessellation of polynomial surfaces. While conventional forward difference-based tessellation is subject to round off error and cracking, our algorithm produces a bit-for-bit consistent triangle mesh across multiple independently tessellated patches. We present tessellation patterns that exploit the efficiency of iterative evaluation techniques while delivering a defect free adaptive tessellation with continuous level-of-detail. We also report the rendering performance of the resulting physical hardware implementation.