Pythagoras tree (fractal)

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/pythagoras-tree-fractal

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the fractal generation method?Recursive construction based on squares and right isosceles triangles
2. What is the creator?Albert E. Bosman
3. What is a Pythagoras tree?It is a special kind of tree made of squares that grows by adding triangles and smaller squares, showing the Pythagorean theorem.
4. How does the Pythagoras tree grow?Start with one square, put a right isosceles triangle on top, then attach two smaller squares to the triangle's sides, and repeat for each new square.

Recursive Construction: A process where a function or procedure calls itself to solve smaller instances of the same problem.
Isosceles Triangle: A triangle with at least two sides of equal length.
Deterministic Fractal: A fractal generated by a precise mathematical rule, not by random processes.