On the existence of the regular n -rhombi inscribed in a convex compact body

René Fourneau; Charles Leytem

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 1, page 151-164
  • ISSN: 0010-2628

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Fourneau, René, and Leytem, Charles. "Sur l’existence de $n$-losanges réguliers inscrits dans un corps compact convexe." Commentationes Mathematicae Universitatis Carolinae 019.1 (1978): 151-164. <http://eudml.org/doc/16891>.

@article{Fourneau1978,
author = {Fourneau, René, Leytem, Charles},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Regular Losanges; Compact Convex Bodies of Revolution},
language = {fre},
number = {1},
pages = {151-164},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sur l’existence de $n$-losanges réguliers inscrits dans un corps compact convexe},
url = {http://eudml.org/doc/16891},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Fourneau, René
AU - Leytem, Charles
TI - Sur l’existence de $n$-losanges réguliers inscrits dans un corps compact convexe
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 1
SP - 151
EP - 164
LA - fre
KW - Regular Losanges; Compact Convex Bodies of Revolution
UR - http://eudml.org/doc/16891
ER -

References

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  2. BAIR J., JONGMANS F., Sur les graves questions qui naissent quand la décomposition des ensembles atteint un stade avancé, à paraître dans Bull. Soc. Roy. Sc. Liège. Zbl0371.52001MR0470848
  3. CHRISTENSEN C. M., Kvadrat indskrevet i konveks figur, Mat. Tidsskift, 1950 B, 22-26. (1950) MR0039284
  4. DIETSCHI U., Eilinien und unbeschriebene Rhomben, Diplomschrift, Universitat Bern, 1974. (1974) 
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  6. JERRARD P., Inscribed squares in plane curves, Trans. Amer. Math. Soc. 98 (1961), 234-241. (1961) Zbl0097.38302MR0120604
  7. JONGMANS F., Notions de topologie générale, édition ronéotypée, Liège, 1969. (1969) 
  8. LARMAN D. G., MANI P., Regular crosspolytopes inscribed to spherical surfaces, à paraître. 
  9. PUCCI C., Sulla inscrivibilita di un ottaedro regolare in un insieme convesso limitato dello spazio oгdinario, Atti della Ac. Naz. dei Lincei; Rendiconti, Classe delle Scienze Fisiche, Matematiche e Naturali 8 (1956), 61-65. (1956) MR0091484
  10. SCHNIRELMAN L. G., O nekotoryh geometriceskih svojstvah zamknutyh krivyh, Sbornik rabot matematičeskogo razdela sekcii estestvennyh i tocnyh nauk komakademii, Moskva, 1929. Reproduit dans Uspehi Matematiceskih Nauk 10 (1944), 34-44. (1929) 
  11. YAMABE H., YUJOBO Z., On the continuous functions defined on a sphere, Osaka Math. Journal 2 (1950), 19-22. (1950) MR0037006
  12. WEIL W., Einschachtelung konvexer Körper, Archiv der Math. 26 (1975), 666-669. (1975) Zbl0326.52010MR0405242

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