This book devoted to the model of regular n-gon and some its application. Regular N-gon belong a wide class of central configurations. This model has a number of application in different branches of science - from atomic physics up to stellar dynamic. This book consists of two main parts - review of recent publications deal with n-gon properties and applications (about 80 references) and original author's investigations. First part may be considered as an introduction in problem, second part as a source of some ideas and applications.