Discrete differential geometry of triangle tiles and algebra of closed trajectories
| dc.creator | Morikawa, Naoto | |
| dc.date | 2006-07-03 | |
| dc.date.accessioned | 2026-07-07T07:17:56Z | |
| dc.date.available | 2026-07-07T07:17:56Z | |
| dc.description | This paper proposes a new mathematical framework that can be applied to biological problems such as analysis of the structures of proteins and protein complexes. In particular, it gives a new method for encoding the three-dimensional structure of a protein into a binary sequence, where proteins are approximated by a folded tetrahedron sequence. It also gives a new algebraic framework for describing molecular complexes and their interactions. For simplicity, we shall explain the framework in the case of two-dimensional objects. Then, the binary code of a plane curve is obtained as the ``second derivative'' of the curve and ``fusion and fission'' of closed trajectories is described algebraically. | |
| dc.description | 15 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0607051 | |
| dc.identifier | http://arxiv.org/abs/math/0607051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114123 | |
| dc.subject | Combinatorics | |
| dc.subject | Discrete Mathematics | |
| dc.subject | Metric Geometry | |
| dc.subject | 52B99; 92D20 | |
| dc.title | Discrete differential geometry of triangle tiles and algebra of closed trajectories | |
| dc.type | text |