Fractal geometry transcends the Euclidean dimensions in mind-blowing ways. Quantify your knowledge of fractals with this brain-bending quiz!

### When was the term "fractal" first used?

### When a fractal produces the same shape at smaller and smaller scales, it demonstrates what?

- Complexity
- Self-similarity
- Redundancy

### Which fractal helped to calculate the length of the coastline of England?

- Menger Sponge
- Koch Snowflake
- London Sausage

### The Mandelbrot Set is sums up the work of which mathematician?

- Lewis Richardson
- Georg Cantor
- Gaston Julia

### According to fractal geometry, the coastline of the United Kingdom is how long?

- 7,723 miles (12,429 kilometers)
- infinite
- 6,944 miles (11,175 kilometers)

### If you wanted to simulate a mountain range using fractal geometry, what basic Euclidean shape would you want to use?

- Square
- Mountain shape
- Triangle

### In the fractal equation z = z2 + c, the variable c stands for what?

- A real number
- A complex number
- The speed of light

### Mandelbrot coined the word "fractal" to explain what?

- That fractal shapes can have non-integer dimensions
- The fractured nature of fractal geometry
- The fractious and chaotic aspect of fractals

### Fractal dimension is a measure of what?

- How many iterations it takes to create a shape
- How far your mind has to bend to understand these things
- How rough the surface of a shape is

### The Hausdorff-Besicovitch Dimension of a fractal is always:

- Hard to say after a glass of wine
- Less than its topological dimension
- Greater than its topological dimension

### In a colorful version of a Mandelbrot Set, what do the colors represent?

- Whatever the artist is trying to tell you
- The value of z / log N
- The speed at which the equation escapes towards infinity

### What kind of fractal has been effectively used in telecommunications devices?

- Julia Set
- Dragon Curve
- Menger Sponge

### What's the highest dimension a fractal can have?

### What Japanese artist depicted fractal waves in his work "The Great Wave Off Kanagawa"?

- Hiroshige
- Tawaraya Sotatsu
- Katsushika Hokusai

### What meteorologist first discovered the Butterfly Effect in 1960?

- David Letterman
- Carl-Gustaf Arvid Rossby
- Edward Lorenz

### Why didn't Gaston Julia pursue his work with the Julia Set further?

- He couldn't get funding.
- He died before he could complete his work.
- He didn't have a supercomputer.

### Helge von Koche is best known for creating the Koch Snowflake, a fractal that illustrates what paradox?

- An infinite perimeter with a dimension of zero
- An infinite space surrounded by a finite perimeter
- An infinite perimeter surrounding a finite space

### Which measure of fractal dimension utilizes the box counting method?

- Hausdorff Dimension
- Rényi Dimension
- Minkowski-Bouligand Dimension

### The Lorentz Butterfly is an example of what type of fractal?

- Julia Set
- Mandelbrot Set
- Strange Attractor

### Benoit Mandelbrot was born in what European country?