Simple polygons with an infinite sequence of deflations

Beitrage zur Algebra und Geometrie

Volumn 42, Issue 2, 2001, Pages 307-311

  Fevens, Thomas ^a   Hernandez, Antonio ^a,b   Mesa, Antonio ^a,b   Morin, Patrick ^a,c   Soss, Michael ^a   Toussaint, Godfried ^a  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF HAVANA   (Cuba)

^c CARLETON UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52549108731     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Biedl, T.; Demaine, E.; Demaine, M.; Lazard, S.; Lubiw, A.; O'Rourke, J.; Overmars, M.; Robbins, S.; Streinu, I.; Toussaint, G. T.; Whitesides, S.: Locked and unlocked polygonal chains in 3d. In: Proc. 10th ACM-SIAM Symposium on Discrete Algorithms, 1999, 866-867.
2. de Sz.-Nagy, Bêla: Solution of problem 3763. American Mathematical Monthly 46 (1939), 176-177.
3. Díaz-Bánez, J. M.; Gomez, F.; Toussaint, G. T.: Partial deflation of closed polygons in the plane. Manuscript in preparation, 1999.
4. Erdos, Paul: Problem number 3763. American Mathematical Monthly 42 (1935), 627.
5. Grünbaum, Branko: How to convexify a polygon. Geombinatorics 5 (1995), 24-30.
6. Meisters, Gary H.: Polygons have ears. American Mathematical Monthly 82 (1975), 648-651.
7. Millett, K.: Knotting of regular polygons in 3-space. Journal of Knot Theory and its Ramifications 3 (1994), 263-278.
8. Quintas, L. V.; Supnick, F.: On some properties of shortest hamiltonian circuits. American Mathematical Monthly 72 (1965), 977-980.
9. Toussaint, Godfried T.: Anthropomorphic polygons. American Mathematical Monthly 98 (1991), 31-35.
10. Toussaint, Godfried T.: The Erdos-Nagy theorem and its ramifications. In: 11th Canadian Conference on Computational Geometry. Vancouver, Canada, August 16-18 1999, 9-12. Long version available at: http://www.cs.ubc.ca/conferences/ CCCG.
11. Wegner, Bernd: Partial inflation of closed polygons in the plane. Beiträge Algebra Geom. 34(1) (1993), 77-85.