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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!

When was the term "fractal" first used?

  • 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

What's the highest dimension a fractal can have?

  • 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

Benoit Mandelbrot was born in what European country?

  • France
  • Belgium
  • Poland