Bland and Las Vergnas proved that orientations of binary matroids are induced by totally unimodular representations. (A related result is due to Minty.) Lee and Scobee proved that orientations of ternary matroids are induced by dyadic representations. In this paper we prove that consistently ordered orientations of quaternary matroids are induced by golden-mean representations.

中文翻译：

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黄金分割拟阵的方向

Bland 和 Las Vergnas 证明了二元拟阵的方向是由完全幺模表示引起的。（相关结果归功于 Minty。）Lee 和 Scobee 证明了三元拟阵的方向是由二元表示引起的。在本文中，我们证明了四元拟阵的一致有序方向是由黄金均值表示引起的。