This paper describes the re-creation of an especially elegant two-level Islamic geometric pattern found at the Madrassa Madar-i-Shah in Isfahan, Iran. The pattern is first understood using a “bottom up” analysis using computer-aided design software, followed by a “top down” reconstruction using traditional compass and straightedge techniques. In addition to the analysis and reconstruction itself, the paper considers the relative pros and cons of computer-aided design vs. traditional construction techniques when studying and drawing Islamic geometric patterns.