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The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Transformations, which provide a unifying description of geometrical shapes, as a generalization of the Pythagorean Theorem. The resulting geometrical objects can be used for modeling a wide range of natural shapes and phenomena. The cutting of GML bodies and surfaces, with the Möbius strip as one special case, is related to the field of knots and links, and classifications were obtained for GML with cross sectional symmetry of 2, 3, 4, 5 and 6. The general case of cutting GML bodies and surfaces, in particular the number of ways of cutting, could be solved by reducing the 3D problem to planar geometry. This also unveiled a range of connections with topology, combinatorics, elasticity theory and theoretical physics.

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In the present paper we consider the ''bulky knots'' and ''bulky links'', which appear after cutting a Generalized Mö bius Listing's GML n 3 body (whose radial cross section is a plane 3-symmetric figure with three vertices) along di¤erent Generalized Mö bius Listing's surfaces GML n 2 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 n 3 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.