A COMPUTING ALGORITHM FOR TWO-DIMENSIONAL BASIC CYCLES OF POLYHEDRONS IN THE THREE-DIMENSIONAL SPACE |
| 4 | |
| 2013 |
| MATHEMATICS |
| scientific article | 515.14+519.6 | ||
| 186-189 | simplex, polyhedron, homology group, algorithm. |
| A new method for computing the bases of two-dimensional homology groups of polyhedrons in the three-dimensional space has been developed. Its idea goes back to the Alexander-Pontryagin theorem. In contrast to the standard approach, our algorithm does not use matrices. Moreover, the basic cycles found with the use of this approach have a clear geometrical meaning. |
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