Almathera Ten Pack 4: Demo 1/almathera_demo1.bin/amos/amosfrac/readme1.amos/readme1.amosSourceCode

AMOS Source Code | 1995-03-16 | 4KB | 115 lines

'README1 - by B.Hills
'
Screen Open 0,320,900,8,0
Curs Off : Hide : Flash Off : Cls 0
Palette 2,$4C4,$44C,$C44
Paper 0 : Pen 2
Print ""
Print " Fractals info - README1"
Print ""
Print " press spacebar when ready for more"
Print "" : Pen 3
Print " What are Fractals?"
Print "" : Pen 1
Print " Fractal formulas can produce"
Print " intriguing displays in great variety,"
Print " and this is an attempt at an"
Print " introduction to some of the"
Print " ideas behind them."
Print ""
Print " The Mandelbrot set is plotted"
Print " in a vast two dimensional sheet"
Print " of numbers called the complex plane."
Print " Other sets can be found"
Print " by experimentation."
Print ""
Print " Complex numbers are plotted in the"
Print " plane, and the results"
Print " are displayed on a monitor screen."
Print ""
Print " A 'complex number' is composed of two"
Print " parts, REAL and IMAGINARY. The real"
Print " part is an ordinary everyday number,"
Print " and the imaginary part is an"
Print " ordinary everyday number plus the"
Print " square root of -1."
Print ""
Print ""
Print ""
Print ""
Print " The horizontal axis in the plane"
Print " diagram is scaled in real numbers"
Print " from negative,through zero,to positive."
Print " The vertical axis is the same"
Print " for the imaginary numbers in a"
Print " like fashion. Zero point is fixed at"
Print " the cross point of the two axes. "
Print ""
Print " The computer display is used"
Print " as the plane, and a search is made"
Print " for points or pixels that either"
Print " belong to the set (colour black), or"
Print " not (assign a colour).  The colour"
Print " number assigned to a point not"
Print " belonging to the set indicates the"
Print " distance from the set, and is also"
Print " known as the 'escape time'.  Under "
Print " iteration of a formula points either"
Print " migrate to zero, or to infinity, which"
Print " are called the two 'attractors'."
Print " (It is possible to have more than two"
Print " attractors as in Newtons method "
Print " for solving polynomial equations.)  "
Print ""
Print ""
Print " The resulting graphic displays are"
Print " aesthetically pleasing to the eye,"
Print " and at least provide a visual"
Print " representation of the mathematics"
Print " involved. "
Print ""
Print " Fractal formulas are in use today in"
Print " video data compression, earthquake"
Print " prediction and geological surveying,"
Print " high voltage insulation breakdown "
Print " research,weather research,astronomy,"
Print " film scenery backgrounds and virtual"
Print " environment simulator displays.  The"
Print " film Startrek used fractal-generated"
Print " backgrounds in some parts. "
Print ""
Print " There are many books on Fractals in"
Print " the libraries, and I would refer"
Print " anyone who would like more information"
Print " to these.  "
Print ""
Print " The Beauty of Fractals"
Print "  by Heinz-Otto Peitgen & P.H. Richter"
Print ""
Print " The Science of Fractal Images"
Print "  by Heinz-Otto Peitgen & Dietmar Saupe"
Print ""
Print " Chaos  by James Gleick "
Print ""
Print " Fractal Programming in C"
Print "  by Roger T. Stevens "
Print ""
Print " Fractals Everywhere by Michael Barnsley"
Print ""
Print " The Fractal Geometry of Nature"
Print "  by Benoit B. Mandelbrot   "
Print ""
Print " Fractal Geometry by Kenneth Falconer"
Print "  (foundations & applications) "
Print ""
Print " Read the README2 describing the"
Print " programs on this disk.  "
Print ""
Print " Happy fractalling!  "
Print "" : Pen 2
Print " END OF README1  "
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Run "df0:MENU.AMOS"