As a rather separate line of attack, he also developed a purely descriptive theory of leaf-arrangement, or 'phyllotaxis' as it was called in biological Greek,

此外，图灵还提出了一个关于叶子分布的描述性理论，这在生物学中称为"叶序"。

in which he found ways of using matrices to represent the winding of spirals of leaves or seeds round a stem or flower-head.

图灵用矩阵来表示茎上环绕的叶子的螺旋结构，

He brought into this theory a concept of 'inverse lattices' somewhat like that used by crystallographers.

并引入了检晶器的"逆格"的概念。

It was also accompanied by a good deal of measurement-making of his own.

除此之外，他还提出了许多自创的测量方法。

The intention was that ultimately these two approaches would join up when he found a system of equations that would generate the Fibonacci patterns expressed by his matrices.

他的目的是找到一个方程系统，能够产生矩阵系统所表示的斐波那契序列，并将这两套系统结合起来。

Although there was some correspondence with a number of biologists, this work was essentially done on his own.

在这一系列研究中，图灵虽然与几位生物学家有书信来往，但本质上的工作，都是他独立完成的。

The Manchester botanist, C. W. Wardlaw, was particularly interested and wrote a paper describing, in biologists' terms, the significance of the first Turing paper.

曼彻斯特的植物学家C·W·瓦德劳对此非常有兴趣，他写了一篇专业的生物学文章，介绍图灵的第一篇论文的重要性。

This finally appeared in August 1952, and soon Alan had a letter from C. H. Waddington expressing interest but scepticism as to the correctness of the essential chemical hypothesis.

这篇文章在1952年8月发表，不久之后，图灵收到了来自瓦德劳的信，信中说他对"化学说"非常感兴趣，但对其正确性表示怀疑。