KONUSLÍQ KÓPOBRAZLÍQTÍŃ KÓLEMIN KOMPYUTER BAǴDARLAMALARÍNDA ESAPLAW USÍLLARÍ HAQQÍNDA

Mualliflar

  • Qutbaev A.B.

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

Kalit so‘zlar: giperbolik geometriya, konussimon ko‘pxillik, orbifold, giperbolik hajm, invariant

Annotatsiya

Mazkur maqolada konussimon koʻpxillikning hajmini hisoblashning usullari bayon etilgan boʻlib, bunda SnapPy va Wolfram Mathematica 13.2 kompyuter dasturlarida hisoblash farqlari keltirilgan.

Foydalanilgan adabiyotlar

1. Weeks J., SnapPea: A computer program for creating and studying hyperbolic 3-manifolds, 2001.

2. Culler M., Dunfield N., Goerner M., Jeffrey W. SnapPy, a computer program for studying the geometry and topology of 3-manifolds, Available at http://snappy.computop.org

3. Mednykh A.D., Qutbaev A.B. Hyperbolic Volumes of Two Bridge Cone-Manifolds. // The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 51. – P. 21-33.

4. Rolfsen D. Knots and Links, AMS, 2003.

5. Porti J. Spherical cone structures on 2-bridge knots and links. // Kobe J. Math., 2004, vol. 21, no. 1-2. – P. 61-70.

6. Riley R. Seven excellent knots. Low-dimensional Topology, 1982, vol. 48. – P. 81-151.

7. Brin M., Jones G., Singerman D. Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. Exp. Math., 2013, vol. 31, no. 2. – P. 99-103.

8. Riley R. A personal account of the discovery of hyperbolic structure on some knot complements. Exp. Math., 2013, vol. 31, no. 2. – P. 104-115.