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arXiv 0809.4324math.HOmath.NT
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毕达哥拉斯树:一个新物种

The Pythagorean Tree: A New Species

H. Lee Price

摘要:

1967年,荷兰数学家F.J.M. Barning描述了一个无限的、平面的、三元树。七年后,A。霍尔独立地发现了同一棵树。两者都使用幺模矩阵的方法将一个三元组转换为另一个三元组。最近又有一些新发现。在这篇文章中,我们宣布发现了一个完全不同的三元树,并展示了它与Barning和Hall发现的三元树的关系。

英文摘要:

In 1967 the Dutch mathemetician F.J.M. Barning described an infinite, planar, ternary tree*. Seven years later, A. Hall independently discovered the same tree. Both used the method of uni-modular matrices to transform one triple to another. A number of rediscoveries have occurred more recently. In this article we announce the discovery of an entirely different ternary tree, and show how it relates to the one found by Barning and Hall.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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