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About

 

For Teachers

Translations

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Software Requirements

SoftwareRequirements


Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support full-screen? Yes. Chrome/Opera No. Firefox/ Samsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as.....
cannot work on Internet Explorer 9 and below

 

Credits

Dieter Roess - WEH- Foundation; Tan Wei Chiong; Loo Kang Wee; Francisco Esquembre ; Wolfgang Christian

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Sample Learning Goals

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For Teachers

This is yet another variation of the Mandelbrot Set, the latest of the Mandelbrot series, you could say.

This time, what varies is the power to which the complex number z is raised to in each iteration.

The standard Mandelbrot Set is iterated as follows: z(n+1) = z(n)^2 + c

However, in this simulation, we define the algorithm as follows:

z(n+1) = z(n)^k + c, where k is a real number.

The value of k can be adjusted with either the slider, which allows the values to be set between 1 and 10, or with the field provided, which allows for any real value of k to be entered. This set is also called the Multibrot Set, as a portmanteau of "Multiple" and "Mandelbrot".

Disclaimer: Due to the colouring algorithm used, selecting negative powers will end up merely returning a monotone page of colour. We are currently working on implementing a better colouring algorithm for all our Mandelbrot Set simulations.
The default value of k is set to k = 10

Research

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Video

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 Version:

  1. http://weelookang.blogspot.sg/2016/02/vector-addition-b-c-model-with.html improved version with joseph chua's inputs
  2. http://weelookang.blogspot.sg/2014/10/vector-addition-model.html original simulation by lookang

Other Resources

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