Convergent tiling is an alternative technique for exploring fields by using pixel graphics displays. Instead of using pixel by pixel scans to fill an empty frame slowly, it presents the field as a fully tiled frame whose resolution gradually increases through the introduction of successively smaller interstitial tiles. It produces the same final picture as pixel scanning, but supports much earlier recognition of the field region properties. This is particularly useful in interactive visualization where there is a good chance of abandoning the present picture version in favor of another with altered parameters. Convergent tiling allows an abort decision to occur earlier during the development of the field on the display, thus promoting exploration of the field. A two‐dimensional frame quartering algorithm is presented to demonstrate the convergent tiling concept.