On the noninscribability of some families of polyhedra
Mathematica Slovaca (1982)
- Volume: 32, Issue: 1, page 23-34
- ISSN: 0139-9918
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topŠevec, 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
top- GRÜNBAUM B., Convex Polytopes, (Interscience, New York, 1967). (1967) MR0226496
- GRÜNBAUM B., JUCOVIČ E., On non-inscribable polytopes, Czechoslovak Math. J. 24 (99), 1974, 424-429. (1974) Zbl0308.52006MR0348628
- JUCOVIČ E., Bemerkung zu einem Satz von E. Steinitz, Elemente d. Math. 22, 1967, 39. (1967) MR0209974
- 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
- STEINITZ E., Über isopeгimetrische Probleme bei konvеxеn Polyеdеrn, J. rеinе angеw. Math. 159, 1928, 133-143. (1928)
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