An acute triangulation is a triangulation whose triangles have
all their angles less than
. In this paper we prove
every planar pentagon can be triangulated into at most
54 acute triangles, and
) every double pentagon can be
triangulated into at most 76 acute triangles.
Key Words: Acute triangulation; pentagon; double pentagon; Helly's theorem.
2000 Mathematics Subject Classification: Primary: 52A15;
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