数学季刊 ›› 2024, Vol. 39 ›› Issue (1): 46-58.doi: 10.13371/j.cnki.chin.q.j.m.2024.01.004
摘要: An F-polygon is a simple polygon whose vertices are F-points, which are
points of the set of vertices of a tiling of R2 by regular triangles and regular hexagons
of unit edge. Let f(v) denote the least possible number of F-points in the interior of a
convex F-polygon K with v vertices. In this paper we prove that f(10) = 10, f(11) = 12,
f(12) = 12
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