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Special class of helicoids with crystallographic, quasicrystallographic, and noninteger axes

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References

  1. M. O’Keffe and S. Andersson, Acta Crystallogr. A 33, 914 (1977).

    Article  ADS  Google Scholar 

  2. H. S. M. Coxeter, Regular Polytopes (Dauer, New York, 1973).

    Google Scholar 

  3. J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices, and Groups (Springer, New York, 1988; Mir, Moscow, 1990).

    MATH  Google Scholar 

  4. I. R. Shafarevich, Basic Concepts of Algebra (Izhevsk. Resp. Tipografiya, Izhevsk, 1999).

    Google Scholar 

  5. M. I. Samoĭlovich and A. L. Talis, Collective Monograph Based on the Plenary Reports of the X International Conference “High Technology in Russian Industry” (Technomash, Moscow, 2004).

    Google Scholar 

  6. B. L. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry. Methods and Applications: Part 2: The Geometry and Topology of Manifolds (Éditorial URSS, Moscow, 2001; Engl. transl. of earlier edition: Springer, Berlin, 1985).

    Google Scholar 

  7. N. S. Manton, Communs. Math. Phys. 113, 341 (1987).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. J. E. Sadoc and R. Mossery, J. Phys. A: Math. Gen. 26, 1789 (1993).

    Article  MATH  ADS  Google Scholar 

  9. H. Nyman, C. E. Carroll, and B. G. Hyde, Z. Kristallogr. 196, 39 (1991).

    Article  Google Scholar 

  10. A. V. Shevel’kov, Soros. Obraz. Zh., No. 2, 44 (2004).

  11. J. E. Humphreys, Linear Algebraic Groups, 5th ed. (Springer, Berlin, 2004).

    Google Scholar 

  12. O. P. Shcherbak, Usp. Mat. Nauk 43(3), 125 (1988).

    MathSciNet  Google Scholar 

  13. B. K. Vainshtein, V. M. Friedkin, and V. L. Indenbom, Modern Crystallography, Vol. 2: Structure of Crystals, Ed. by B. K. Vainshtein, A. A. Chernov, and L. A. Shuvalov (Nauka, Moscow, 1979; Springer, Berlin, 1995), p. 204.

    Google Scholar 

  14. V. S. Kraposhin, A. F. Prokoshin, and V. V. Zlobin, in Proceedings of the Conference on Application of Magnetic Resonance in Novel Materials, Nafplion, Greece, 2000, pp. 28–29.

  15. M. I. Samooelovich, V. S. Kraposhin, and A. L. Talis, in Collective Monograph Based on the Plenary Reports of the Symposium “Nanotechnology and Photon Crystalls” (OAO TsNITI “Tekhnomash,” Moscow, 2004), pp. 195–212.

    Google Scholar 

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Authors and Affiliations

  1. Central Research Technological Institute Tekhnomash, ul. Ivana Franko 4, Moscow, 121108, Russia

    M. I. Samoĭlovich

  2. Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, ul. Vavilova 28, Moscow, 119991, Russia

    A. L. Talis

Authors
  1. M. I. Samoĭlovich
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  2. A. L. Talis
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Original Russian Text © M.I. Samoĭlovich, A.L. Talis, 2007, published in Doklady Akademii Nauk, 2007, Vol. 414, No. 1, pp. 30–35.

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Samoĭlovich, M.I., Talis, A.L. Special class of helicoids with crystallographic, quasicrystallographic, and noninteger axes. Dokl. Phys. 52, 247–252 (2007). https://doi.org/10.1134/S1028335807050023

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  • DOI: https://doi.org/10.1134/S1028335807050023

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