EQUILATERAL TRIANGLE VS. HEXAGON: A MOST SIMPLE DEMONSTRATION
用最简单的方法证明了相同大小的六边形比等边三角形更能最小化消费者与设施的平均距离，同时指出三角形网格中设施间距更小，这一事实不应被忽视。
ABSTRACT. This note presents a most simple proof of the superiority of hexagons over equilateral triangles of the same size in terms of minimization of the average distance between consumers and facilities. It also stresses that, under the same assumptions, facilities are closer to each other in a triangular grid than in an hexagonal grid and that this fact should not be neglected.