On the noninscribability of some families of polyhedra

Sergej Ševec

Mathematica Slovaca (1982)

  • Volume: 32, Issue: 1, page 23-34
  • ISSN: 0139-9918

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Ševec, Sergej. "О невписуемости некоторых семейств полиэдров." Mathematica Slovaca 32.1 (1982): 23-34. <http://eudml.org/doc/34118>.

@article{Ševec1982,
author = {Ševec, Sergej},
journal = {Mathematica Slovaca},
keywords = {non-inscribable polytopes; polytopes with bounded vertex degree; polytopes with bounded face degree},
language = {rus},
number = {1},
pages = {23-34},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {О невписуемости некоторых семейств полиэдров},
url = {http://eudml.org/doc/34118},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Ševec, Sergej
TI - О невписуемости некоторых семейств полиэдров
JO - Mathematica Slovaca
PY - 1982
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 32
IS - 1
SP - 23
EP - 34
LA - rus
KW - non-inscribable polytopes; polytopes with bounded vertex degree; polytopes with bounded face degree
UR - http://eudml.org/doc/34118
ER -

References

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  1. GRÜNBAUM B., Convex Polytopes, (Interscience, New York, 1967). (1967) MR0226496
  2. GRÜNBAUM B., JUCOVIČ E., On non-inscribable polytopes, Czechoslovak Math. J. 24 (99), 1974, 424-429. (1974) Zbl0308.52006MR0348628
  3. JUCOVIČ E., Bemerkung zu einem Satz von E. Steinitz, Elemente d. Math. 22, 1967, 39. (1967) MR0209974
  4. JUCOVIČ E., On polyhedral surfaces which are not inscribable in spherical shells, Problémes combinatoires et théorie des graphes, Paris, 1978, 251-253. (1978) Zbl0415.52005MR0539987
  5. STEINITZ E., Über isopeгimetrische Probleme bei konvеxеn Polyеdеrn, J. rеinе angеw. Math. 159, 1928, 133-143. (1928) 

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