HOW STUFF WORKS
QUIZZES

The Ultimate Fractals Quiz
by Staff
Fractal geometry transcends the Euclidean dimensions in mind-blowing ways. Quantify your knowledge of fractals with this brain-bending quiz!

• 1871
• 1975
• 1992

### 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

• One
• Two
• Three

### 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

• France
• Belgium
• Poland
more stuff
more stuff