论文信息 - Acute triangulations of trapezoids

Acute triangulations of trapezoids

In this paper we discuss acute triangulations of trapezoids. It is known that every rectangle can be triangulated into eight acute triangles, and that this is best possible. In this paper we prove that all other trapezoids can be triangulated into at most seven acute triangles.

Liping Yuan | Liping Yuan

[1] Carol T. Zamfirescu,et al. Acute Triangulations of Doubly Covered Convex Quadrilaterals , 2007 .

[2] Jin-ichi Itoh,et al. Acute Triangulations of the Regular Icosahedral Surface , 2004, Discret. Comput. Geom..

[3] Jorge Nuno Silva,et al. Mathematical Games , 1959, Nature.

[4] Jin-ichi Itoh,et al. Acute triangulations of the regular dodecahedral surface , 2007, Eur. J. Comb..

[5] Jin-ichi Itoh,et al. Acute triangulations of flat tori , 2009, Eur. J. Comb..

[6] Hiroshi Maehara,et al. Acute Triangulations of Polygons , 2002, Eur. J. Comb..

[7] Tudor Zamfirescu,et al. Acute Triangulations of Flat Mobius Strips , 2007, Discret. Comput. Geom..

[8] Charles Cassidy,et al. A square acutely triangulated , 1980 .

[9] Hiroshi Maehara. On Acute Triangulations of Quadrilaterals , 2000, JCDCG.

[10] Carol T. Zamfirescu. Acute triangulations of the double triangle , 2004 .