Abstract
The convex three-dimensional regular and semiregular polyhedrons were investigated using mental mechanical operations on polyhedrons. They include cutting polyhedrons (cutting off vertices), the necessary deformations of the section sections to shape the sections into regular polygons, and rotating parts of the polyhedrons relative to each other. There is proved the existence of 16 semiregular polyhedrons, that is, three more polyhedrons than in the study of “operations on maps.” It is shown that any regular or semiregular convex three-dimensional polytope can be passed to any other regular or semiregular polyhedron in a finite number of steps.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
