Mandelbulb

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/mandelbulb

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 mathematical object?A three-dimensional fractal set
2. What is the developers?Daniel White and Paul Nylander
3. Who made the Mandelbulb and when?Daniel White and Paul Nylander made the Mandelbulb in 2009.
4. How is a Mandelbulb different from the Mandelbrot set?The Mandelbrot set is a 2‑D shape that uses complex numbers, while the Mandelbulb is a 3‑D shape that uses spherical coordinates because there is no 3‑D version of complex numbers.

Fractal Geometry: A branch of mathematics studying complex shapes with self-similar patterns at all scales.
Spherical Coordinates: A coordinate system representing points in 3D space by distance from origin and two angles.
Iteration: The process of repeatedly applying a function or algorithm to produce a sequence of outputs.
Bounded Orbit: A sequence of points generated by an iterative process that does not grow infinitely large.