On Acute Triangulations of Quadrilaterals

Authors:
Hiroshi Maehara
Affiliations:
-
Venue:
JCDCG '00 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
Year:
2000

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Abstract

An acute triangulation of a polygon 驴 is a triangulation of 驴 into acute triangles. Let f(驴) denote the minimum number of triangles necessary for an acute triangulation of 驴, and let f(n) denote the maximum value of f(驴) for all n-gons 驴. We prove f(4) = 10.