Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and Buildings1815-52352587-8700Peoples’ Friendship University of Russia (RUDN University)10964Research ArticleALGORITHM OF JOINT OF SECTIONS OF THE REGULAR SMOOTH SURFACESMISYURAN E-ZHILINS S-the Ural Federal University named after the first Russian president B.N. EltzinExpert-development1502201521712092016Copyright © 2016, Structural Mechanics of Engineering Constructions and Buildings2016This paper presents the method of joint of smooth analytic surfaces and an example of its application in architecture is given. This method is demonstrated on the mating surface of rev- olution formed by the generatrix curve in the form of a cubic parabola and the translation surface formed of the curve in the form of Guido Grandi. The same example shows torsion shaping for giving of a dynamic effect, and a matrix of torsion transformation is presentedMathematical modeling in architectureinterfacing of analytic surfacesshaping torsiontorsion transformation matrixМатематическое моделирование в архитектуресопряжение аналитических поверхностейторсионное формообразованиематрица торсионного преобразования