MANDELBROT INSTR
FILE INFORMATION
FILENAME(S): MANDELBROT INSTR
FILE TYPE(S): PRG
FILE SIZE: 8.8K
FIRST SEEN: 2025-11-30 21:07:27
APPEARS ON: 1 disk(s)
FILE HASH
889f43b6aa55ab1b2edc1dc06af61824500adc225b848241e11c371c6fc6ea75
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| VCGN C 128 D0011 | MANDELBROT INSTR | PRG | DuncanTwain | 13 | 1 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
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00000040: F7 03 8B 20 41 24 B2 22 45 4E 44 22 20 A7 20 80 |... A$."END" . .|
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00000060: 31 30 30 35 00 88 5B 06 04 99 22 11 3C 50 52 45 |1005..[...".<PRE|
00000070: 53 53 20 41 4E 59 20 4B 45 59 20 54 4F 20 43 4F |SS ANY KEY TO CO|
00000080: 4E 54 49 4E 55 45 3E 22 00 91 5B 0B 04 A1 20 42 |NTINUE>"..[... B|
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000000C0: 54 48 45 20 4D 41 4E 44 45 4C 42 52 4F 54 20 53 |THE MANDELBROT S|
000000D0: 45 54 20 42 52 4F 4F 44 53 20 49 4E 20 53 49 4C |ET BROODS IN SIL|
000000E0: 45 4E 54 22 00 13 5C 24 04 83 22 43 4F 4D 50 4C |ENT"..\$.."COMPL|
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00000100: 54 45 52 20 4F 46 20 41 20 56 41 53 54 20 54 57 |TER OF A VAST TW|
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00000130: 55 4D 42 45 52 53 20 43 41 4C 4C 45 44 20 54 48 |UMBERS CALLED TH|
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00000150: 20 50 4C 41 4E 45 2E 20 20 57 48 45 4E 20 41 20 | PLANE. WHEN A |
00000160: 43 45 52 54 41 49 4E 22 00 94 5C 33 04 83 22 4F |CERTAIN"..\3.."O|
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00000190: 52 53 2C 22 00 BC 5C 38 04 83 22 54 48 45 20 4F |RS,"..\8.."THE O|
000001A0: 4E 45 53 20 4F 55 54 53 49 44 45 20 54 48 45 20 |NES OUTSIDE THE |
000001B0: 53 45 54 20 46 4C 45 45 20 54 4F 22 00 EB 5C 3D |SET FLEE TO"..\=|
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000001D0: 45 20 4E 55 4D 42 45 52 53 20 49 4E 53 49 44 45 |E NUMBERS INSIDE|
000001E0: 20 52 45 4D 41 49 4E 20 54 4F 22 00 16 5D 42 04 | REMAIN TO"..]B.|
000001F0: 83 22 44 52 49 46 54 20 4F 52 20 44 41 4E 43 45 |."DRIFT OR DANCE|
00000200: 20 41 42 4F 55 54 2E 20 20 43 4C 4F 53 45 20 54 | ABOUT. CLOSE T|
00000210: 4F 20 54 48 45 22 00 3E 5D 47 04 83 22 42 4F 55 |O THE".>]G.."BOU|
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00000260: 46 20 54 48 45 22 00 8F 5D 51 04 83 22 49 4E 53 |F THE"..]Q.."INS|
00000270: 54 41 42 49 4C 49 54 59 2E 20 20 48 45 52 45 20 |TABILITY. HERE |
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00000290: BB 5D 56 04 83 22 52 45 47 52 45 53 53 20 4F 46 |.]V.."REGRESS OF|
000002A0: 20 44 45 54 41 49 4C 20 54 48 41 54 20 41 53 54 | DETAIL THAT AST|
000002B0: 4F 4E 49 53 48 45 53 20 55 53 22 00 E8 5D 5B 04 |ONISHES US"..][.|
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000002D0: 54 59 2C 20 49 54 53 20 43 4F 4D 50 4C 45 58 49 |TY, ITS COMPLEXI|
000002E0: 54 59 2C 20 41 4E 44 22 00 03 5E 60 04 83 22 49 |TY, AND"..^`.."I|
000002F0: 54 53 20 53 54 52 41 4E 47 45 20 42 45 41 55 54 |TS STRANGE BEAUT|
00000300: 59 2E 22 00 0F 5E 65 04 83 22 50 41 52 41 22 00 |Y."..^e.."PARA".|
00000310: 35 5E 6A 04 83 22 54 48 45 20 53 45 54 20 49 53 |5^j.."THE SET IS|
00000320: 20 4E 41 4D 45 44 20 46 4F 52 20 42 45 4E 4F 49 | NAMED FOR BENOI|
00000330: 54 20 42 2E 22 00 61 5E 6F 04 83 22 4D 41 4E 44 |T B.".a^o.."MAND|
00000340: 45 4C 42 52 4F 54 2C 20 41 20 52 45 53 45 41 52 |ELBROT, A RESEAR|
00000350: 43 48 20 46 45 4C 4C 4F 57 20 41 54 20 54 48 45 |CH FELLOW AT THE|
00000360: 22 00 90 5E 74 04 83 22 49 42 4D 20 54 48 4F 4D |"..^t.."IBM THOM|
00000370: 41 53 20 4A 2E 20 57 41 54 53 4F 4E 20 52 45 53 |AS J. WATSON RES|
00000380: 45 41 52 43 48 20 43 45 4E 54 45 52 20 49 4E 22 |EARCH CENTER IN"|
00000390: 00 BE 5E 79 04 83 22 59 4F 52 4B 20 54 4F 57 4E |..^y.."YORK TOWN|
000003A0: 20 48 45 49 47 48 54 53 2C 20 4E 2E 59 2E 20 20 | HEIGHTS, N.Y. |
000003B0: 46 52 4F 4D 20 48 49 53 20 57 4F 52 4B 22 00 EA |FROM HIS WORK"..|
000003C0: 5E 7E 04 83 22 57 49 54 48 20 47 45 4F 4D 45 54 |^~.."WITH GEOMET|
000003D0: 52 49 43 20 46 4F 52 4D 53 2C 20 4D 41 4E 44 45 |RIC FORMS, MANDE|
000003E0: 4C 42 52 4F 54 20 48 41 53 22 00 16 5F 83 04 83 |LBROT HAS".._...|
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00000430: 4D 41 54 49 43 41 4C 20 53 54 55 44 59 20 4F 46 |MATICAL STUDY OF|
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00000460: 4C 20 44 49 4D 45 4E 53 49 4F 4E 2E 22 00 97 5F |L DIMENSION.".._|
00000470: 92 04 83 22 49 4E 20 50 41 52 54 49 43 55 4C 41 |..."IN PARTICULA|
00000480: 52 2C 20 54 48 45 20 42 4F 55 4E 44 41 52 59 20 |R, THE BOUNDARY |
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000004B0: 41 20 46 52 41 43 54 41 4C 2C 20 42 55 54 20 49 |A FRACTAL, BUT I|
000004C0: 54 20 49 53 22 00 DC 5F 9C 04 83 22 41 4C 53 4F |T IS".._..."ALSO|
000004D0: 20 4D 55 43 48 20 4D 4F 52 45 2E 22 00 E8 5F A1 | MUCH MORE.".._.|
000004E0: 04 83 22 50 41 52 41 22 00 13 60 A6 04 83 22 57 |.."PARA"..`..."W|
000004F0: 49 54 48 20 54 48 45 20 41 49 44 20 4F 46 20 41 |ITH THE AID OF A|
00000500: 20 52 45 4C 41 54 49 56 45 4C 59 20 53 49 4D 50 | RELATIVELY SIMP|
00000510: 4C 45 22 00 3F 60 AB 04 83 22 50 52 4F 47 52 41 |LE".?`..."PROGRA|
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00000550: 44 20 4F 46 20 4D 49 43 52 4F 53 43 4F 50 45 20 |D OF MICROSCOPE |
00000560: 46 4F 52 20 56 49 45 57 49 4E 47 22 00 9B 60 B5 |FOR VIEWING"..`.|
00000570: 04 83 22 54 48 45 20 42 4F 55 4E 44 41 52 59 20 |.."THE BOUNDARY |
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00000590: 54 20 53 45 54 2E 20 20 49 4E 22 00 C9 60 BA 04 |T SET. IN"..`..|
000005A0: 83 22 50 52 49 4E 43 49 50 4C 45 20 4F 4E 45 20 |."PRINCIPLE ONE |
000005B0: 43 41 4E 20 5A 4F 4F 4D 20 49 4E 20 46 4F 52 20 |CAN ZOOM IN FOR |
000005C0: 41 20 43 4C 4F 53 45 52 22 00 F3 60 BF 04 83 22 |A CLOSER"..`..."|
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000005E0: 20 4F 46 20 54 48 45 20 53 45 54 20 41 54 20 41 | OF THE SET AT A|
000005F0: 4E 59 22 00 21 61 C4 04 83 22 4D 41 47 4E 49 46 |NY".!a..."MAGNIF|
00000600: 49 43 41 54 49 4F 4E 2E 20 20 46 52 4F 4D 20 41 |ICATION. FROM A|
00000610: 20 44 49 53 54 41 4E 54 20 56 41 4E 54 41 47 45 | DISTANT VANTAGE|
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00000630: 52 45 53 45 4D 42 4C 45 53 20 41 20 53 51 55 41 |RESEMBLES A SQUA|
00000640: 54 2C 20 57 41 52 54 2D 43 4F 56 45 52 45 44 22 |T, WART-COVERED"|
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00000660: 47 48 54 20 4C 59 49 4E 47 20 4F 4E 20 49 54 53 |GHT LYING ON ITS|
00000670: 20 53 49 44 45 2E 22 00 83 61 D3 04 83 22 50 41 | SIDE."..a..."PA|
00000680: 52 41 22 00 AE 61 D8 04 83 22 41 50 50 52 4F 41 |RA"..a..."APPROA|
00000690: 43 48 49 4E 47 20 54 48 45 20 4D 41 4E 44 45 4C |CHING THE MANDEL|
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000007D0: 52 45 53 20 53 45 45 4D 20 54 4F 20 52 45 41 50 |RES SEEM TO REAP|
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00000830: 20 54 48 49 53 20 57 41 59 22 00 61 63 0A 05 83 | THIS WAY".ac...|
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00002110: 4E 44 45 4C 42 52 4F 54 20 53 45 54 2E 20 20 41 |NDELBROT SET. A|
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00002150: 48 45 20 47 52 41 50 48 49 43 53 22 00 7E 7C 34 |HE GRAPHICS".~|4|
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000021B0: 4E 44 45 4C 42 52 4F 54 22 00 E2 7C 43 08 83 22 |NDELBROT"..|C.."|
000021C0: 53 45 54 3F 20 20 4E 45 41 52 20 54 48 45 20 4D |SET? NEAR THE M|
000021D0: 41 4E 44 45 4C 42 52 4F 54 20 53 45 54 2C 20 4F |ANDELBROT SET, O|
000021E0: 46 22 00 11 7D 48 08 83 22 43 4F 55 52 53 45 2C |F"..}H.."COURSE,|
000021F0: 20 42 55 54 20 57 48 45 52 45 20 50 52 45 43 49 | BUT WHERE PRECI|
00002200: 53 45 4C 59 3F 20 20 54 48 45 52 45 20 41 52 45 |SELY? THERE ARE|
00002210: 22 00 3A 7D 4D 08 83 22 5A 49 4C 4C 49 4F 4E 53 |".:}M.."ZILLIONS|
00002220: 20 4F 46 20 42 45 41 55 54 49 46 55 4C 20 53 50 | OF BEAUTIFUL SP|
00002230: 4F 54 53 2E 20 20 54 48 45 22 00 68 7D 52 08 83 |OTS. THE".h}R..|
00002240: 22 4D 41 4E 44 45 4C 42 52 4F 54 20 53 45 54 20 |"MANDELBROT SET |
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00002270: 53 49 4E 47 20 43 4F 4F 52 44 49 4E 41 54 45 53 |SING COORDINATES|
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000022C0: 61 08 83 22 4D 41 4E 44 45 4C 5A 4F 4F 4D 20 50 |a.."MANDELZOOM P|
000022D0: 52 4F 47 52 41 4D 20 54 4F 20 44 45 54 45 52 4D |ROGRAM TO DETERM|
000022E0: 49 4E 45 20 54 48 45 22 00 12 7E 66 08 83 22 43 |INE THE"..~f.."C|
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00002340: 22 45 4E 44 22 00 00 00 |"END"... |
.[.[... 0,7 : . 4,7 : . ".".$[... A$.=[.
.. A$."PARA" . . 1030.P[... A$."END" . .
.Y[... A$.D[... 1005..[...".<PRESS ANY K
EY TO CONTINUE>"..[... B$..[... B$."" .
1035..[..."."..[... 1005..[...".THE MAND
ELBROT SET BROODS IN SILENT"..\$.."COMPL
EXITY AT THE CENTER OF A VAST TWO-".B\).
."DIMENSIONAL SHEET OF NUMBERS CALLED TH
E".H\..."COMPLEX PLANE. WHEN A CERTAIN"
..\3.."OPERATION IS APPLIED TO THE NUMBE
RS,"..\8.."THE ONES OUTSIDE THE SET FLEE
TO"..\=.."INFINITY. THE NUMBERS INSIDE
REMAIN TO"..]B.."DRIFT OR DANCE ABOUT.
CLOSE TO THE".>]G.."BOUNDARY, MINUTELY
CHOREOGRAPHED".F]L.."WANDERINGS MARK THE
ONSET OF THE"..]Q.."INSTABILITY. HERE
IS AN INFINITE"..]V.."REGRESS OF DETAIL
THAT ASTONISHES US"..][.."WITH ITS VARIE
TY, ITS COMPLEXITY, AND"..^`.."ITS STRAN
GE BEAUTY."..^E.."PARA".5^J.."THE SET IS
NAMED FOR BENOIT B.".A^O.."MANDELBROT,
A RESEARCH FELLOW AT THE"..^T.."IBM THOM
AS J. WATSON RESEARCH CENTER IN"..^Y.."Y
ORK TOWN HEIGHTS, N.Y. FROM HIS WORK"..
^~.."WITH GEOMETRIC FORMS, MANDELBROT HA
S".._..."DEVELOPED THE FIELD HE CALLS FR
ACTAL".A_..."GEOMETRY, THE MATHEMATICAL
STUDY OF".M_..."FORMS HAVING A FRACTIONA
L DIMENSION.".._..."IN PARTICULAR, THE B
OUNDARY OF THE".E_..."MANDELBROT SET IS
A FRACTAL, BUT IT IS".._..."ALSO MUCH MO
RE.".._..."PARA"..`..."WITH THE AID OF A
RELATIVELY SIMPLE".?`..."PROGRAM, A COM
PUTER CAN BE CONVERTED".L`..."INTO A KIN
D OF MICROSCOPE FOR VIEWING"..`..."THE B
OUNDARY OF THE MANDELBROT SET. IN".I`..
."PRINCIPLE ONE CAN ZOOM IN FOR A CLOSER
"..`..."LOOK AT ANY PART OF THE SET AT A
NY".!AD.."MAGNIFICATION. FROM A DISTANT
VANTAGE".PAI.."THE SET RESEMBLES A SQUA
T, WART-COVERED".WAN.."FIGURE EIGHT LYIN
G ON ITS SIDE."..AS.."PARA"..AX.."APPROA
CHING THE MANDELBROT SET, ONE"..A..."FIN
DS THAT EACH WART IS A TINY FIGURE"..B..
."SHAPED MUCH LIKE THE PARENT SET.".0B..
."ZOOMING IN FOR A CLOSE LOOK AT ONE OF"
._B..."THE TINY FIGURES, HOWEVER, REVEAL
S THAT"..B..."THE MAGNIFIED VERSION IS N
OT QUITE THE"..B..."SAME MANDELBROT SET.
AS THE ZOOM"..B..."CONTINUES, THE FIGU
RES SEEM TO REAPPEAR,"..C..."BUT A CLOSE
R LOOK ALWAYS TURNS UP".:C..."DIFFERENCE
S. THINGS GO ON THIS WAY".AC..."FOREVER
, INFINITELY VARIOUS AND"..C..."AND FRIG
HTENINGLY LOVELY."..C..."PARA"..C..."A N
UMBER IS COMPLEX WHEN IT IS MADE UP"..C.
.."OF TWO PARTS CALLED REAL AND IMAGINAR
Y."..D#.."THUS 7 + 4I IS A COMPLEX NUMBE
R WITH".FD(.."REAL PART 7 AND IMAGINARY
PART 4I. THE".UD-.."I NEXT TO THE 4 SHO
WS WHICH PART OF THE"..D2.."COMPLEX NUMB
ER IS IMAGINARY."..D7.."PARA".TD<.."EVER
Y COMPLEX NUMBER CAN BE REPRESENTED"..EA
.."BY A POINT IN THE PLANE; THE PLANE OF
"..EF.."COMPLEX NUMBERS IS CALLED THE CO
MPLEX".[EK.."PLANE. TO FIND 7 + 4I IN T
HE COMPLEX"..EP.."PLANE, START AT THE CO
MPLEX NUMBER 0,"..EU.."OR 0 + 0I, AND ME
ASURE SEVEN UNITS EAST"..EZ.."AND FOUR U
NITS NORTH. THE RESULTING"..F_.."POINT
REPRESENTS 7 + 4I."..FD.."PARA".8FI.."AD
DING OR MULTIPLYING TWO COMPLEX".GFN.."N
UMBERS IS EASY. TO ADD 3 - 2I AND 7 +".
.FS.."4I, ADD THE PARTS SEPARATELY; THE
SUM"..FX.."IS 10 + 2I. MULTIPLYING COMP
LEX"..F}.."NUMBERS IS ONLY SLIGHTLY MORE
"..G..."DIFFICULT. FOR EXAMPLE, IF THE
SYMBOL".=G..."I IS TREATED LIKE THE SYMB
OL X IN HIGH".JG..."SCHOOL ALGEBRA, THE
PRODUCT OF 3 - 2I"..G..."AND 7 + 4I IS 2
1 + 12I - 14I - 8I^2.".EG..."AT THIS STA
GE A SPECIAL PROPERTY OF THE"..G..."SYMB
OL I MUST BE BROUGHT INTO PLAY: IT". H .
."HAPPENS THAT I^2 EQUALS -1. THUS THE"
.OH..."PRODUCT CAN BE SIMPLIFIED BY COLL
ECTING".~H..."THE REAL AND THE IMAGINARY
PARTS: IT IS"..H..."29 - 2I."..H..."PAR
A".DH..."IT IS NOW POSSIBLE TO DESCRIBE
THE"..H..."ITERATIVE PROCESS THAT GENERA
TES THE"..IC.."MANDELBROT SET. BEGIN WI
TH THE".DIH.."ALGEBRAIC EXPRESSION Z^2 +
C, WHERE Z".RIM.."IS A COMPLEX NUMBER T
HAT IS ALLOWED TO"..IR.."VARY AND C IS A
CERTAIN FIXED COMPLEX".NIW.."NUMBER. S
ET Z INITIALLY TO BE EQUAL TO"..I..."THE
COMPLEX NUMBER 0. THE SQUARE OF Z".+J.
.."IS THEN 0 AND THE RESULT OF ADDING C
TO".VJ..."Z^2 IS JUST C. NOW SUBSTITUTE
THIS"..J..."RESULT FOR Z IN THE EXPRESS
ION Z^2 + C."..J..."THE NEW SUM IS C^2 +
C. AGAIN".ZJ..."SUBSTITUTE FOR Z. THE
NEXT SUM IS (C^2"..K..."+ C)^2 + C. CO
NTINUE THE PROCESS,".0K..."ALWAYS MAKING
THE OUTPUT OF THE LAST".XK..."STEP THE
INPUT FOR THE NEXT ONE.".DK..."PARA"..K.
.."STRANGE THINGS HAPPEN WHEN THE"..K...
"ITERATIONS ARE CARRIED OUT FOR"..K..."P
ARTICULAR VALUES OF C. FOR EXAMPLE,"..L
..."HERE IS WHAT HAPPENS WHEN C IS 1 + I
:"..L".." ".8L'.." FIRST ITERATION,
1 + 3I.YL,.."SECOND ITERATION, -7 + 7
I.ZL1.." THIRD ITERATION, 1 - 97I..L6..
" "..L;.."NOTE THAT THE REAL AND THE
IMAGINARY"..L@.."PARTS MAY GROW, SHRINK
, OR CHANGE SIGN."..ME.."IF THIS PROCESS
OF ITERATION CONTINUES,".:MJ.."THE RESU
LTING COMPLEX NUMBERS GET".WMO.."PROGRES
SIVELY LARGER.".CMT.."PARA"..MY.."WHAT E
XACTLY IS MEANT BY THE SIZE OF A"..M^.."
COMPLEX NUMBER? SINCE COMPLEX NUMBERS".
.MC.."CORRESPOND TO POINTS IN THE PLANE,
"..NH.."IDEAS OF DISTANCE APPLY. THE SI
ZE OF A".CNM.."COMPLEX NUMBER IS JUST IT
S DISTANCE".KNR.."FROM THE COMPLEX NUMBE
R 0. THAT"..NW.."DISTANCE IS THE HYPOTE
NUSE OF A RIGHT".EN|.."TRIANGLE WHOSE SI
DES ARE THE REAL AND"..N..."THE IMAGINAR
Y PARTS OF THE COMPLEX"..O..."NUMBER. H
ENCE TO FIND THE SIZE OF THE".JO..."NUMB
ER, SQUARE EACH OF ITS PARTS, ADD".VO...
"THE TWO SQUARED VALUES, AND TAKE THE"..
O..."SQUARE ROOT OF THE SUM. FOR EXAMPL
E,".PO..."THE SIZE OF THE COMPLEX NUMBER
7 + 4I"..O..."IS THE SQUARE ROOT OF 7^2
+ 4^2 OR".$P..."APPROXIMATELY 8.062. W
HEN COMPLEX".RP..."NUMBERS REACH A CERTA
IN SIZE UNDER THE"..P..."ITERATIVE PROCE
SS I HAVE JUST DESCRIBED"..P..."THEY GRO
W VERY QUICKLY: INDEED AFTER A".ZP..."FE
W MORE ITERATIONS THEY EXCEED THE"..P...
"CAPACITY OF ANY COMPUTER."..QB.."PARA".
/QG.."FORTUNATELY I CAN IGNORE ALL THE".
[QL.."COMPLEX NUMBERS C THAT RUN SCREAMI
NG"..QQ.."OFF TO INFINITY. THE MANDELBR
OT SET IS"..QV.."THE SET OF ALL COMPLEX
NUMBERS C FOR"..Q..."WHICH THE SIZE OF Z
^2 + C IS FINITE"..R..."EVEN AFTER AN IN
DEFINITELY LARGE NUMBER".<R..."OF ITERAT
IONS. THE 'MANDELBROT 128'".FR..."PROGR
AM SEARCHES FOR SUCH NUMBERS.".RR..."PAR
A"..R..."THE MANDELBROT 128 PROGRAM WILL
FIRST".MR..."ASK YOU FOR THE SOUTHWEST
COORDINATES,"..R..."AND THEN THE EDGE SI
ZE OF THE REGION".&S..."YOU WISH TO EXPL
ORE. FOR EXAMPLE, IF".QS..."YOU WANT TO
EXPLORE THE REGION WITH".}S..."REAL PAR
T -2.0 TO +0.5 AND IMAGINARY"..S..."PART
-1.25 TO +1.25, YOU WOULD ENTER".US..."
COORDINATES -2.0,-1.25 AND EDGE SIZE"..S
..."2.5."..S!.."PARA"..T&.."NEXT YOU WIL
L BE ASKED FOR THE MAXIMUM".IT+.."NUMBER
OF ITERATIONS. IF THE POINT IN".ST0.."
QUESTION DOES NOT FLEE TO INFINITY"..T5.
."AFTER THIS MANY ITERATIONS, IT IS".GT:
.."ASSUMED TO BELONG TO THE MANDELBROT".
.T?.."SET. INCREASING THE NUMBER OF"..U
D.."ITERATIONS IMPOSES A LONGER WAIT FOR
".AUI.."THE PICTURES, BUT IMPROVES THEIR
".LUN.."RESOLUTION. 1000 ITERATIONS IS
THE"..US.."MAXIMUM YOU MAY USE. 50 TO 1
00"..UX.."ITERATIONS ARE SUFFICIENT FOR
MOST".MU].."REGIONS.".YUB.."PARA"..VG.."
NEXT YOU WILL BE ASKED FOR THE COLOR OF"
.7VL.."POINTS THAT ARE CLOSE TO THE MAND
ELBROT".BVQ.."SET. THESE ARE POINTS THA
T FLEE TO"..VV.."INFINITY AFTER RELATIVE
LY MANY"..V{.."ITERATIONS. ENTER THE CO
RRESPONDING"..V..."NUMBER OF THE COLOR Y
OU WANT TO SELECT."..W..."YOU WILL ALSO
BE ASKED FOR TWO OTHER".=W..."COLORS OF
POINTS FARTHER AWAY FROM THE".JW..."MAND
ELBROT SET. LATER, WHEN YOU VIEW"..W...
"THE GRAPHICS FILES YOU HAVE SAVED TO".C
W..."DISK WITH THE MANDELBROT 128 PROGRA
M,"..W..."THE MANDELZOOM PROGRAM WILL AL
LOW YOU"..X..."TO USE ANY COLORS YOU WIS
H."..X..."PARA".NX..."NEXT YOU WILL BE A
SKED WHAT YOU WANT TO".XX..."CALL THE RE
GION YOU ARE EXPLORING."..X..."THIS WILL
BE THE NAME ASSIGNED TO THE".RX..."FILE
USED FOR SAVING GRAPHICS DATA TO"..XA..
"DISK FOR FUTURE VIEWING. USE 12"..YF..
"CHARACTERS OR LESS.".!YK.."PARA".PYP.."
NOW INSERT YOUR WORKING DISK (MAKE SURE"
.ZYU.."YOU HAVE 600 BLOCKS AVAILABLE) AN
D"..YZ.."PRESS ANY KEY TO CONTINUE. YOU
WILL BE".XY..."INSTRUCTED TO SWITCH TO
'RGB' MODE. IF"..Z..."YOU ARE USING A 1
902 VIDEO MONITOR YOU".2Z..."WILL BE ABL
E TO FOLLOW THE PROGRAM'S".\Z..."PROGRES
S BY SWITCHING TO THE 'RGB'"..Z..."MODE.
THE PROGRAM MAY TAKE UP TO"..Z..."SEVE
RAL HOURS TO RUN, DEPENDING ON THE"..Z..
."REGION AND THE MAXIMUM NUMBER OF"..Z..
."ITERATIONS SELECTED."..{..."PARA"..{..
."IN THE 'RGB' MODE, THE PROGRAM WILL".]
{..."KEEP YOU INFORMED OF ITS PROGRESS W
HILE"..{..."GATHERING DATA, ANALYZING DA
TA,"..{..."PLOTTING DATA, AND SAVING SCR
EEN"..{ .."MEMORY. YOU WILL THEN BE INS
TRUCTED TO"..|%.."SWITCH TO THE 'SEP' MO
DE TO VIEW THE".0|*.."MANDELBROT SET. A
T THIS TIME THE".\|/.."PROGRAM IS FINISH
ED AND THE GRAPHICS".~|4.."ARE ALREADY S
AVED TO DISK."..|9.."PARA"..|>.."WHERE S
HOULD ONE EXPLORE THE MANDELBROT"..|C.."
SET? NEAR THE MANDELBROT SET, OF"..}H..
"COURSE, BUT WHERE PRECISELY? THERE ARE
".:}M.."ZILLIONS OF BEAUTIFUL SPOTS. TH
E".H}R.."MANDELBROT SET ITSELF CAN BE VI
EWED BY"..}W.."USING COORDINATES -2.0,-1
.25 AND AN"..}\.."EDGE SIZE OF 2.5. YOU
CAN USE THE"..}A.."MANDELZOOM PROGRAM T
O DETERMINE THE"..~F.."COORDINATES AND E
DGE SIZE OF OTHER".:~K.."REGIONS YOU MAY
WISH TO EXPLORE.".E~P.."END"...
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