Most of Hawaiian quilts, fabrics and traditional handicrafts are lavishly decorated with patterns. Reflecting the culture of Hawaii, Hawaiian flora and fauna find their creation in a fabric of symmetrical patterns. Although this exotic and highly balanced symmetry is an essential component of many traditional handicrafts in Hawaiian patterns, the symmetric principles of Hawaiian patterns have rarely been discussed. To provide insight into the creation of Hawaiian patterns, this article analyzes the symmetric characteristics of the traditional Hawaiian patterns. In addition, the article presents a computer model using a java applet that has been developed to generate an exponential number of different Hawaiian patterns