Abstract: Some results has already been obtained in the study of equivalent resistance of regularly connected polygon resistance network, but the border equivalent resistance still lacks research on parameter value （resistance or capacitor）. By analyzing the network and constructing a model based on differential equation, we get a laconic general formula of equivalent resistance or capacitor of enhanced polygon network. The polygon concept arriving two sides structure of the non-Euclid space is also expanded, and the results are compared with connected argument. The conclusion is also suit to some regularly connected polygon impedance networks.

Key words: regular polygon, network analyse, differential equation, equivalent resistance or capacitor, general formula, non-Euclid space