About "Bulky" Links, generated by Generalized Möbius Listing's bodies $GML^{n}_{3}$

Abstract

In the present paper we consider the "bulky knots'' and "bulky links'', which appear after cutting a Generalized Möbius Listing's $GML_3^n$ body (whose radial cross section is a plane $3$-symmetric figure with three vertices) along different Generalized Möbius Listing's surfaces $GML_2^n$ situated in it. This article is aimed to investigate the number and geometric structure of the independent objects appearing after such a cutting process of $GML_3^n$ bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known tabulation for Knots and Links of small complexity.