Grid computing can mean different things to different individuals. The grand vision is often presented as an analogy to power grids where users (or electrical appliances) get access to electricity through wall sockets with no care or consideration for where or how the electricity is actually generated. In this view of grid computing, computing becomes pervasive and individual users gain access to computing resources like processors, storage, data, applications etc. as needed with little knowledge of where those resources are located or what the underlying technologies. Grid computing makes research projects possible that formerly were unfeasible due to the physical location of vital resources. In this paper we work on the concept of the fractal grid architecture which can be used implement and help in reducing the cost for estimating the error and also help in studying the complete grid without actually expanding it. As the grid is self-symmetrical it can also be enlarged very easily.