| Title:
|
Constructions of triangular and quadrangular polyhedra of inscribable type (English) |
| Author:
|
Jucovič, Ernest |
| Author:
|
Ševec, S. |
| Author:
|
Trenkler, M. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
313-317 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52B10 |
| idZBL:
|
Zbl 1023.52001 |
| idMR:
|
MR1796335 |
| . |
| Date available:
|
2009-09-25T11:23:12Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133184 |
| . |
| Reference:
|
[1] DILLENCOURT M. B-SMITH W. D.: A linear time algorithm for testing the inscribability of trivalent polyhedra.Internat. J. Comput. Geom. Appl. 5 (1995), 21-36. MR 1331174 |
| Reference:
|
[2] DILLENCOURT M. B.-SMITH W. D.: A simple method for resolving degeneracies in Delaunay triangulations.In: Automata, Languages, and Programming: Proc. 20th Internal. Coll., Lund Sweden ICALP, Lund, Sweden, July 1993. Lecture Notes in Comput. Sci. 700, Springer, Berlin-New York, 1993, pp. 177-188. MR 1252411 |
| Reference:
|
[3] GRÜNBAUM B.: On Steinitz's theorem about non-inscribable polyhedra.Nederl. Akad. Wetensch. Proc. Ser. A 66 (1963), 452-455. Zbl 0115.15005, MR 0152945 |
| Reference:
|
[4] GRÜNBAUM B.-SHEPHARD G. C.: Some problems on polyhedra.J. Geom. 29 (1987), 182-190. Zbl 0618.52004, MR 0904573 |
| Reference:
|
[5] HARARY F.: Graph Theory.Addison Wesley, Reading, 1969. Zbl 0196.27202, MR 0256911 |
| Reference:
|
[6] HODGSON C. D.-RIVIN I.-SMITH W. D.: A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere.Bull. Amer. Math. Soc. (N.S.) 27 (1992), 246-251. Zbl 0759.52010, MR 1149872 |
| Reference:
|
[7] JUCOVIČ E.-ŠEVEC S.: Note on inscribability of quadrangular polyhedra with restricted number of edge-types.J. Geom. 42 (1991), 126-131. Zbl 0742.52011, MR 1132841 |
| Reference:
|
[8] STEINER J.: Systematische Entwicklung der Abhängigkeit geometrischer Gestalten von einander.Reimer, Berlin, 1832; Jacob Steiner's Collected Works, Vol. 1, Berlin, 1881. Zbl 0015.36602 |
| Reference:
|
[9] STEINITZ E.: Uber isoperimetrische Probleme bei konvexen Polyedern I; II.J. Reine Angew. Math. 158; 159 (1927; 1929), 129-153; 133-143. |
| . |
