In this gcloudh computing era, various kinds of values are being created in cyber worlds at every moment, causing the worlds to become increasing complex and making it difficult for us to recognize the whole. Consequently, we need a more powerful mathematical background that can accurately model the cyber worlds in the gcloudh as they are. We consider the Incrementally Modular Abstraction Hierarchy to be appropriate for modeling the dynamically changing cyber worlds by descending from the most abstract homotopy level to the most specific view level, while preserving invariants. We have developed a data processing system called the Cellular Data System based on IMAH. In this paper, we introduce basic geometrical design into CDS, and apply CDS to develop the core logic of a route search system, used in most traffic industries but costly due to its complexity, to verify its effectiveness.