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* HIJ FONG ! HIJ FONG !
==========
** Background: Chaos Mathematics Background: Chaos Mathematics
-----------------------------
This game is based on chaos mathemeatics. This game is based on chaos mathematics.
Back in the 1980's a computer scientist/matmmmatician Back in the 1980's a computer scientist/mathematician
Benort Mandelbrot discovered some maths functions that Benort Mandelbrot discovered some maths functions that
behaved in very stange ways. Instead of smoothly changing behaved in very stange ways. Instead of smoothly changing
they became chaotic and unpredictable. they became chaotic and unpredictable.
@ -13,7 +15,8 @@ they became chaotic and unpredictable.
This facinated the IBM scientist (who incidentally, was also paid by his employer to This facinated the IBM scientist (who incidentally, was also paid by his employer to
go up in planes and observe another chaotic phenomenem, the random shapes of clouds). go up in planes and observe another chaotic phenomenem, the random shapes of clouds).
** Natural Chaos: Nature will find a way Natural Chaos: Nature will find a way
-------------------------------------
The film Jurasic park features a chaos mathmetician brought in to The film Jurasic park features a chaos mathmetician brought in to
look at the park and decide whether it was safe or not. look at the park and decide whether it was safe or not.
@ -27,12 +30,14 @@ Another example of chaos in nature was the spraying of crops by DDT
in the 1950's and 60's. At first all the insects died off and the farmers in the 1950's and 60's. At first all the insects died off and the farmers
had far better crop yields (but also poisoned all the fish in the rivers and killed many wild birds). had far better crop yields (but also poisoned all the fish in the rivers and killed many wild birds).
But, a tiny proportion of the insects, through the natural chaos But, a tiny proportion of the insects, through the natural chaos
of DNA mutation, because resistant. This tiny proportion that could cope with DDT of DNA mutation, because resistant. This tiny proportion that could cope with DDT, having no competition
with other insects,
grew in population rapidly and after a few years caused worse crop yields than before DDT grew in population rapidly and after a few years caused worse crop yields than before DDT
was introduced. Anyone interested in this should read "silent spring" by "rachel carson" was introduced. Anyone interested in this should read "silent spring" by "rachel carson"
writtin in 1962. written in 1962.
** How to play How to play
-----------
The program featured here starts with a blank tk graphics window. By clicking the mouse The program featured here starts with a blank tk graphics window. By clicking the mouse
the chaotic function is revealed. Where in a stable zone the pixel is black. the chaotic function is revealed. Where in a stable zone the pixel is black.
@ -45,7 +50,8 @@ Once this is clicked on the entire shape, previously hidden, is drawn in full on
Enjoy the chaos! Enjoy the chaos!
** For Maths people For Maths people
----------------
This game secretly rotates and resizes the hidden mandelbrot shape. This game secretly rotates and resizes the hidden mandelbrot shape.
It does this using complex numbers which naturally have an angle of rotation It does this using complex numbers which naturally have an angle of rotation