[Authors] V. A. Malyshev [Title] Triangulations with regular structures [AMS Subj-class] 52B11 $n$-dimensional polytopes 52B55 Computational aspects related to convexity [Abstract] The direct product of two simplices and the intersection of a simplex with a half-space have triangulations with regular structure. This gives natural triangulations for convex polytopes and permits to construct some nontrivial homeomorphisms. [Keywords] Triangulations, polytopes [Comments] LaTeX, 29 pp., English [Contact e-mail] wmal@ryb.adm.yar.ru