The subject of the research is the method of constructing areal, linear and volumetric anamorphoses cartographic models for the analysis of geodata. The object of the research is the process of creating various types of anamorphoses cartographic models. The aim of the work is to improve the quality of geodata perception in cartographic models based on a new approach to their visualization, provided by an unusual representation of the geodata structure while taking into account a large number of parameters that they contain. Conclusions: Methods for constructing areal, linear and volume anamorphoses cartographic models have been developed, a mathematical model and an algorithm for creating anamorphoses cartographic models using the ArcGIS software package have been obtained. The methodology for constructing areal anamorphoses cartographic models, in particular, provides, through the use of the Cartogram module, the possibility of implementing anamorphoses cartographic models of demographic position in Ukraine based on data on the population size in the ArcMap package ArcGIS. At the same time, it is also possible to obtain volumetric anamorphoses cartographic models of the demographic state. In addition, based on an analysis of the activities of Wizz Air (as an example of modern lowcost air carriers), a methodology has been developed for constructing linear anamorphoses cartographic flight models performed by this company from Ukraine in the ArcMap environment. At the same time, the mandatory components of such cartographic models are specially implemented relational geodatabases containing comprehensive flight characteristics. The technique is universal and can be used for any airline and geolocation flights. The proposed methods for constructing anamorphic cartographic models allow obtaining their various types, due to specific visualization providing an opportunity to look at the geodata under study from different sides and gain new knowledge on nearby natural and technogenic phenomena. It is anamorphoses cartographic models that provide a unique opportunity to visually present non-obvious facts with the possibility of illuminating hidden natural and geographical patterns, analyzing the relationships between environmental phenomena against the background of their defining characteristics.