# The Pythagorean Tree: A New Species

@inproceedings{Price2008ThePT, title={The Pythagorean Tree: A New Species}, author={H. Lee Price}, year={2008} }

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.

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 10 REFERENCES

## Fibonacci Number Triples

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## The Book of Numbers

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## Primitive Pythagorean Triples

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## On Pythagorean and quasi-Pythagorean triangles and a generation process with the help of unimodular matrices

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Pythagorean Triangles

VIEW 2 EXCERPTS

## Pythagorean Triples and Triangular Square Numbers

VIEW 3 EXCERPTS

## Waerden, Science Awakening

VIEW 3 EXCERPTS