Author: MYKHAILO DERKACH
Menthor: TETYANA EFIMOVA
School: UNESCO Centre “Junior Academy of Science of Ukraine” (JASU)
Within the framework of different models with the help of mathematical modeling of the problem in the rectangular coordinate system large torsion deformation of twisted right prismatoid is investigated. It is explored that for large torsion deformation of twisted right prism in the model with a constant side edge, the end of the side edge moves along the Vivian spatial curve the projection of which is Gerono’s lemniscates; the cotangents of dihedral angles at the edge of the base of a twisted regular prismatoids satisfy the Pascal limaçon equation with a nodal point, an isolated point or a return point.