Evgraf Fedorov

Evgraf Fedorov

Evgraf Stepanovich Fedorov
Born (1853-12-22)22 December 1853
Orenburg, Russian Empire
Died 21 May 1919(1919-05-21) (aged 65)
Petrograd, RSFSR

Evgraf Stepanovich Fedorov (Russian: Евгра́ф Степа́нович Фёдоров, 22 December [O.S. 10 December] 1853 – 21 May 1919) was a Russian mathematician, crystallographer and mineralogist.[1][2][3]

Fedorov was born in the Russian city of Orenburg into a family of engineers. The family later moved to Saint Petersburg. From the age of fifteen he was deeply interested in the theory of polytopes, which later became his main research interest. He was a distinguished graduate of the Gorny Institute, which he joined at the age of 26.

He contributed to the identification of conditions under which a group of Euclidean motions must have a translational subgroup whose vectors span the Euclidean space. His best-known result is his 1891 proof that there are only 17 possible wallpaper groups which can tile a Euclidean plane.[4] This was then proved independently by George Pólya in 1924.[5] The proof that the list of wallpaper groups was complete only came after the much harder case of space groups had been settled. In 1895, he became a professor of geology at the Moscow Agricultural Institute (now the Timiryazev Academy). Fedorov died from pneumonia in 1919 during the Russian Civil War in Petrograd, RSFSR.

Publications

See also

References

  1. ↑ I. I. Shafranovskii and N. V. Belov, "In Memoriam: E. S. Fedorov 1853–1919," in P. P. Ewald, ed., Fifty Years of X-ray Diffraction (Utrecht, Nederland: International Union of Crystallography, 1962), pages 341–350. PDF online
  2. ↑ R.V. Galiulin (November 2003) "To the 150th anniversary of the birth of Evgraf Stepanovich Federov (1853–1919): Irregularities in the fate of the theory of regularity," Crystallography Reports, vol. 48, no. 6, pages 899–913. PDF online
  3. ↑ A. Meniailov, "Fyodorov (or Fedorov), Evgraf Stepanovich" in Charles C. Gillispie, editor in chief, Dictionary of Scientific Biography (New York, New York: Charles Scribner's Sons, 1972), vol. 5, pages 210–214.
  4. ↑ E. Fedorov (1891) "Simmetrija na ploskosti" [Symmetry in the plane], Zapiski Imperatorskogo Sant-Petersburgskogo Mineralogicheskogo Obshchestva [Proceedings of the Imperial St. Petersburg Mineralogical Society], series 2, vol. 28, pages 245-291 (in Russian).
  5. ↑ George Pólya (1924) "Über die Analogie der Kristallsymmetrie in der Ebene," Zeitschrift für Kristallographie, vol. 60, pages 278–282.
  6. ↑ E. S. Fedorov (1891) "Симмтрія правильныхъ системъ фигуръ" ("Simmetriia pravil'nykh sistem figur") [The symmetry of regular systems of figures], Zapiski Imperatorskogo S. Petersburgskogo Mineralogichesgo Obshchestva [Proceedings of the Imperial St. Petersburg Mineralogical Society], series 2, vol. 28, pages 1–146. English translation: David and Katherine Harker (trans.), Symmetry of Crystals, American Crystallographic Association Monograph No. 7 [Bufallo, N.Y.: American Crystallographic Association, 1971], pages 50–131.
  7. ↑ Kunz, George Frederick and Wherry, Edgar T. (3 June 1921) "Russian Geologists" Science New Series 53(1379): pp. 516–517
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