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What is a Pythagorean tree?

Updated: 11/13/2022
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13y ago

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The Pythagoras Tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythagorean theorem. If the largest square has a size of L × L, the entire Pythagoras tree fits snugly inside a box of size 6L × 4L. The finer details of the tree resemble the Lévy C curve.

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How can you make a sentence with the word pythagorean?

usually Pythagorean is named after pythagoras


What set of numbers is a pythagorean triangle?

Pythagorean triplets


Sets of Pythagorean triples?

3,4,5 1,2,3 these are sets of pythagorean triples


Is a pythagorean triplet?

The numbers of 3, 4 and 5 are an example of a Pythagorean


Was the Pythagorean Theorem proven?

Oh yes, the Pythagorean Theorem has been proven.


What shape does the Pythagorean theorem use?

The Pythagorean theorem uses the right triangle.


Pythagoras was best known for the pythagorean what?

Pythagoras was well known for the Pythagorean Theorem.


How many Pythagorean triples are there?

Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.


How do you find a pythagorean triple?

There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.


Are multiples of triples Pythagorean Triples?

No, the multiple of any random triple is not a Pythagorean triple.


Is 10 14 17 considered a pythagorean triple?

Nearly but not quite a Pythagorean triple