History
The mathematician that introduced the idea of fractional dimension.
Who is Felix Hausdorff?
Mountain terrains, coastal lines, branch systems of trees.
What are examples in nature?
A mathematical figure with six fold symmetry seen in nature during winter in cold climates.
What is a Koch Snowflake?
Derived from the latin word fractus meaning “broken” or “fragmented”
What is a fractal?
This theory explains how systems can behave in unpredictable ways even if there is an underlying structure
What is Chaos Theory?
The year term fractals was coined.
What is 1975?
A feature of fractals is that the smaller parts look like the whole.
What is self-similarity?
A basic shape, when repeated forms a snowflake like fractal
What is a triangle?
This type of technology allowed fractal analysis in the late 1900s to be done much faster.
What is a computer?
This scientist’s 1963 research on weather helped start the study of chaos theory.
Who is Edward Lorenz?
This mathematician is famous for studying fractals and coined the term.
Who is Benoit Mandelbrot?
Patterns that look the same at different sizesPatterns that look the same at different sizes
What is scaling?
Fractal that is not fully formed until the process is repeated
What is a pre fractal?
A geometric shape that loses its structure when viewed on a different scale, unlike fractals
What is a circle?
Small changes in this can lead to large effects, which is why weather forecasting is difficult.
What are the initial conditions?
The original language of Benoit Mandelbrot’s book.
What is French?
Fractals have been used in many fields, including the study of living things.
What is biology?
A type of fractal that includes randomness unlike the predictability of the Koch snowflake.
What is a non deterministic fractal?
This is what makes fractals stay complex even when magnified.
What is infinite detail?
Weather is a real life example of this type of system because of its chaotic nature.
What is a chaotic system?
The 1983 republished version of Benoit Mandelbrot’s book, focusing on nature’s fractals
What is The Fractal Geometry of Nature?
This green vegetable is a natural fractal because its structure is self-similar.
What is broccoli?
This famous set of fractals is named after Benoit Mandelbrot.
What is the Mandelbrot Set?
Fractals have been used in this field to create landscapes in movies like Star Wars and Star Trek.
What is the film industry?
This is a type o f structure often found in chaotic systems and is rough and disconnected.
What is the lack of smoothness?