无限正斜多面体{4，6}平截面的几何|四、
Geometry of plane sections of the infinite regular skew polyhedron {4,6|4}
摘要：
三重周期曲面的开截面的渐近性态，对于一个开稠密的平面方向集，由三环面的一个整数第二同调类决定。这种同调类对方向的依赖性可以具有相当丰富的结构，在特殊情况下导致分形。本文详细地给出了斜多面体{4，6| 4}，特别是我们表明，在这种情况下，分形出现，这样的分形可以通过一个基本算法生成，这反过来又使我们能够验证这种情况下的一个猜想S. P.诺维科夫，这样的分形有零测度。
英文摘要：
The asymptotic behavior of open plane sections of triply periodic surfaces is dictated, for an open dense set of plane directions, by an integer second homology class of the three-torus. The dependence of this homology class on the direction can have a rather rich structure, leading in special cases to a fractal. In this paper we present in detail the results for the skew polyhedron {4,6|4} and in particular we show that in this case a fractal arises and that such a fractal can be generated through an elementary algorithm, which in turn allows us to verify for this case a conjecture of S.P.Novikov that such fractals have zero measure.
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