一类2-共振六角系统的性质与构造

The Characterization of a Kind of 2-Resonant Hexagonal System

刻画了任意两个内部六边形都无公共边的2-共振六角系统的一些性质,并且给出了一种构造这种六角系统的方法.证明了:设H是一个任意两个内部六边形都无公共边的六角系统.如果它没有弦(chord).那么H是2-共振的当且仅当H∈■或H是一个冠,或是一个六边形,或是一个T_n.如果它有弦,则H可由构造程序生成.

To characterize some properties of these 2-resonant hexagonal systems in which any two interior hexagons have no common edge, and offer a kind of method to construct this kind of hexagonal system. Then proving the following result： Let H be a hexagonal system in which any two interior hexagons have no common edge. If it has no chord, then H is 2-resonant if and only if H∈R or H is a crown, or a hexagon or a %. If it has chord , then H can be produced by the constructing procedure.