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mandelplot
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
| Tape/disk: | Home » Personal collection » Commodore disks » disk44b_mandelbrot.d64 |
| Filename: | mandelplot |
| Read OK: | ✔ |
| File size: | 51FF bytes |
| Load address: | 0801 |
| Exec address: | 0000 |
File contents
10 REM MANDELPLOT
20 SYS 4096
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MANDELPLOT IS A MACHINE CODEMANDELBROT PLOTTER, WHICH IS RELATIVELYFAST (AN HOUR MAY SEEM SLOW, BUTCOMPARED TO BASIC VERSIONS THAT CAN TAKE12 HOURS THIS IS FAST!). YOU DON'T NEEDTO KNOW ANYTHING ABOUT THE MATHEMATICSINVOLVED TO USE THE PROGRAM, BUT IF YOUARE INTERESTED, THE MANDELBROT SET IS AFRACTAL (INFINITELY DETAILED OBJECT)CALCULATED USING THE FORMULA W=W.2+Z!!SIMPLE, EH?! AT THIS POINT I MUST ADMITTHAT THE MANDELBROT SETS CALCULATED BYMANDELPLOT ARE NOT QUITE FRACTALS,BECAUSE AFTER A WHILE THE C64 LOSESACCURACY AND NO MORE DETAIL CAN BEOBTAINED. IF THE ENTIRE FRACTAL WASPRINTED OUT ON PAPER AT THIS RESOLUTION,THOUGH, IT WOULD BE HUGE! +/- CHANGE PAGE RETURN - EXIT PAGE 1 MANDELPLOT IS ENTIRELY CONTROLLEDBY A MOUSE ARROW THAT CAN BE MOVED BYA JOYSTICK IN PORT 2, OR BY THE KEYS: Z - LEFT X - RIGHT ; - UP / - DOWN RETURN - CLICK ZOOMING INTO THE FRACTAL IF YOU CLICK SOMEWHERE WITHIN THEFRACTAL IMAGE AND THEN CLICK AGAINELSEWHERE IN THE IMAGE, YOU WILL NOTICETHAT YOU CAN BOX OUT AN AREA OF THEFRACTAL. IF YOU NOW CLICK ON THE REDBUTTON MARKED "ZOOM IN" THAT AREA WILLBE BLOWN UP TO FULL SCREEN SIZE. ITIS BEST TO SELECT AN AREA AROUND THECENTRAL BLUE AREA (TECHNICALLY CALLEDTHE LAKE), BECAUSE ATHOUGH THESE TAKE PAGE 2 LONGEST TO PLOT, THEY ARE BY FAR THEMOST INTERESTING. IT'S NOW A LONG WAITOF ABOUT AN HOUR, SO DON'T SIT AND WATCH IT CALCULATE ALL 25,600 PIXELS!ONCE THE NEW IMAGE HAS BEEN PLOTTED,YOU CAN ZOOM IN AGAIN TO VIEW THEFRACTAL AT AN EVEN HIGHER MAGNIFICATION. THERE IS ALSO A SECOND TYPE OF ZOOMTHAT COMES IN HANDY IF YOU FIND SOMEPARTICULARLY INTERESTING IMAGES THAT YOUWANT TO REMEMBER. IF YOU CLICK ON"POSITION", YOU CAN VIEW OR EDIT THECURRENT CO-ORDINATES WITHIN THEMANDELBROT SET THAT YOU ARE CURRENTLYVIEWING. IF YOU WRITE THESE DOWN, YOUCAN COME BACK TO AN IMAGE AGAIN. ITSHOULD BE NOTED THAT THESE ARE UNIVERSALTO ALL MANDELBROT PLOTTERS, SO IF YOUFIND ANY CO-ORDINATES FOR OTHERPLOTTERS, THEY SHOULD ALSO WORK WITHMANDELPLOT. PAGE 3 COLOURS THERE ARE THREE BUTTONS THAT AREINVOLVED WITH COLOURS, AND THEY ARE ALLYELLOW. PRESS THE BUTTON MARKED"COLOURS" TO CHANGE THE SCREEN COLOURS,AND ALSO THE MAXIMUM NUMBER OFITERATIONS. BASICALLY, THE GREATER THISIS, THE MORE ACCURATE THE PLOTS YOUOBTAIN ARE, BUT THE LONGER THEY TAKE.IN THE CENTRAL LAKE AREA, THE COMPUTERTRIES TO CALCULATE THE COLOUR, BUTEVENTUALLY GIVES UP. YOU ARE SETTING HOWLONG IT IS BEFORE THE COMPUTER GIVES UP. YOU MAY NOTICE THAT WHEN YOU CHANGETHESE VALUES, NOTHING HAPPENS TO IMAGE.THIS IS BECAUSE THE IMAGES HAS TO BECOMPLETELY RECALCULATED TO INCORPORATEYOUR ALTERATIONS. SELECT "PLOT" TO DOTHIS. PAGE 4 I HAVE STILL NOT MENTIONED THE"COLCYCLE" BUTTON. THIS TURNS COLOURCYCLING ON OR OFF. USE + AND - TO SPEEDUP OR SLOW DOWN THE EFFECT. OTHER EFFECTS THE BLUE BUTTONS CAN BE USED TOOBTAIN OTHER EFFECTS: QUIT - NEED I SAY MORE?? SAVE - THIS SAVES THE SCREEN AS A BITMAP IMAGE. THESE CAN BE USED IN YOUR OWN PROGRAMS, OR ALSO TO ALLOW YOU TO PRINT IMAGES. HELP - WHAT YOU ARE READING NOW! PAGE 5 JULIA SETS FOR EVERY POINT IN THE MANDELBROTSET THERE IS A CORRESPONDING JULIA SET.THE APPEARANCE OR THIS JULIA SET DEPENDSON WHERE ABOUTS IN THE MANDELBROT SETTHE POINT YOU SELECTED WAS. AS WITH THEMANDELBROT SET ITSELF, THE MOSTINTERESTING IMAGES ARE FOUND AROUND THEEDGES OF THE CENTRAL LAKE AREA. IF YOU BOX OUT AN AREA OF THEMANDELBROT SET, AND THEN SELECT "JULIASET" THEN THE JULIA SET THAT CORRESPONDSTO THE TOP LEFT CORNER OF YOUR BOX WILLBE DISPLAYED. YOU MAY ZOOM INTO THISFRACTAL JUST LIKE THE MANDELBROT SET,AND THEN BY SELECTING "JULIA SET" AGAINYOU CAN RETURN TO THE MANDELBROT SETAGAIN. DOMINIC FORD PAGE 6 00000000 12 08 0a 00 8f 20 4d 41 4e 44 45 4c 50 4c 4f 54 |..... MANDELPLOT|
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00005050 0f 18 20 17 09 0c 0c 02 05 20 20 04 09 13 10 0c |.. ...... .....|
00005060 01 19 05 04 2e 20 19 0f 15 20 20 0d 01 19 20 20 |..... ... ... |
00005070 1a 0f 0f 0d 20 09 0e 14 0f 20 20 14 08 09 13 06 |.... .... .....|
00005080 12 01 03 14 01 0c 20 20 0a 15 13 14 20 0c 09 0b |...... .... ...|
00005090 05 20 20 14 08 05 20 0d 01 0e 04 05 0c 02 12 0f |. ... .........|
000050a0 14 20 20 13 05 14 2c 01 0e 04 20 14 08 05 0e 20 |. ...,... .... |
000050b0 02 19 20 13 05 0c 05 03 14 09 0e 07 20 20 22 0a |.. ......... ".|
000050c0 15 0c 09 01 20 13 05 14 22 20 01 07 01 09 0e 19 |.... ..." ......|
000050d0 0f 15 20 20 03 01 0e 20 12 05 14 15 12 0e 20 14 |.. ... ...... .|
000050e0 0f 20 20 14 08 05 20 20 0d 01 0e 04 05 0c 02 12 |. ... ........|
000050f0 0f 14 20 20 13 05 14 01 07 01 09 0e 2e 20 20 20 |.. ......... |
00005100 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
*
00005160 20 20 20 04 0f 0d 09 0e 09 03 20 06 0f 12 04 20 | ....... .... |
00005170 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
*
000051e0 20 10 01 07 05 20 36 20 20 20 20 20 20 20 20 20 | .... 6 |
000051f0 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
000051ff 
.