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@ -9,18 +9,18 @@ Background: Chaos Mathematics
This game is based on chaos mathematics. This game is based on chaos mathematics.
Back in the 1980's a computer scientist/mathematician Back in the 1980's a computer scientist/mathematician
Beniort Mandelbrot discovered some maths functions that Beniort Mandelbrot discovered some maths functions that
behaved in very stange ways. Instead of smoothly changing behaved in very strange ways. Instead of smoothly changing
they became chaotic and unpredictable. they became chaotic and unpredictable.
This facinated the IBM scientist (who incidentally, was also paid by his employer to This fascinated 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 phenomenon, 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 Jurrassic park features a chaos mathematician 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.
He conclusded it was not. Nature would find a way to adapt, and He concluded it was not. Nature would find a way to adapt, and
what they had done at the park was introduce a life form. Life forms can what they had done at the park was introduce a life form. Life forms can
adapt and change. He reasoned that the dinosaurs in the park, would adapt, and adapt and change. He reasoned that the dinosaurs in the park, would adapt, and
later escape from the island causing a disaster! later escape from the island causing a disaster!
@ -53,12 +53,12 @@ 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
and a sizing factor associated with them. and a sizing factor associated with them.
Complex numbers are a pair of numbers, one real, the type of number Complex numbers are a pair of numbers, one real, the type of number
we use every day, and a stranger one, an imaginary one. we use every day, and a stranger one, an imaginary one.
The imaginary one when multiplied by itsself becaomes a real number but minus! The imaginary numbers when multiplied becomes a real numbers but minus!
Most maths people use the term 'i' to denote a number if imaginary, Most maths people use the term 'i' to denote a number if imaginary,
but people who live in the real world, like electronic engineers but people who live in the real world, like electronic engineers
(and python programmers) use 'j'. (and python programmers) use 'j'.