The twist pattern design method generates crease patterns comprising patterns known as simple flat twists. To deepen the understanding of the method, this paper reinterprets its design process following an approach that transforms plane polygon tiling by using its dual graph. Three independent methods are known to follow this approach, which generate central twist tiles, offset twist tiles, and a shrink-rotate tessellation, respectively. These generated tessellations are categorized as primal-dual tessellation. By comparing these four methods, it was revealed that the process of the twist pattern design method with an additional parameter encompasses the other three methods.