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1. Some properties of 'bulky' links, generated by Generalized Möbius Listing's bodies <tex>GML_{4}^{n}$</tex>

Author

Caratelli, D., Gielis, Johan, Ricci, P.E., and Tavkhelidze, I.

Subjects
Statistics and Probability, Applied Mathematics, General Mathematics, 010102 general mathematics, 0103 physical sciences, 0101 mathematics, 01 natural sciences, Biology, Engineering sciences. Technology, Mathematics, 010305 fluids & plasmas
Abstract

In the present paper, we consider the bulky knots and bulky links that appear after cutting of generalized MöbiusListing GML 4 n bodies (with corresponding radial cross sections square) along different generalized MöbiusListing surfaces GML 2 n situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of GML 4 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.

Published
2016