On the mathematical model of triangulanes Original Research Article

The mathematical model of spirocondensed cyclopropanes, suggested by S.S. Tratch, is considered in the paper. According to the model every such compound is represented by a set of congruent equilateral triangles connected to each other by specific rules. One can associate an abstract graph with such a configuration of triangles. We investigate under what conditions a given graph can be realized as a graph of some spatial triangle configuration.