Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and Buildings1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)10897Research ArticleAPPLICATION OF CONVENTIONAL SURFACES IN GRAPHIC DESIGN AND ENGINEERING OF SLIDES AND TOBOGGAN TRACKS TURNSMisyuraN E-MityushovE A-The Ural Federal University by the name of the first Russian president B.N. Elzin1504201443912092016Copyright © 2016, Structural Mechanics of Engineering Constructions and Buildings2016This paper investigates the invariant algorithms for the forming of normal surfaces and examples in their usage in graphic design and in modeling of summer, winter, water slide and sledge track gutters are given. It is shown on the Guido Grandi spatial roses example, how the usage of analytical smooth rails of normal surfaces allows us to obtain the variety of decora- tive forms. A method for the modeling of safe slides is given by joint integration of Frenet equations, the equations for the dynamics of the unfree material point and the dynamical shap- ing of normal surfaces is presented.Mathematical designGuido Grandi rosescomputer geometrynormal surfacetoboggan track gutterskeletonnaturbahnbobsleightubingматематический дизайнрозы Гвидо Грандикомпьютерная геометриянормальная поверхностьжелоб санной трассыскелетоннатурбанбобслейтюбинг