krf7527@ritcv.UUCP (Keith Fieldhouse) (12/19/85)
Hello,
Along with a small group of fellow undergraduate students, I
have been working on the generation of Images of the Mandelbrot
Set as described in the August '85 issue of "Scientific
American". Most of the work was done to provide us with an
excuse to excercise some of the graphics hardware we have
around here. Since the hardware is in a public lab the work
has generated some very positive comments from those who have
happened to see it. The comments became more enthusiastic as
people understood the nature of the images they were seeing.
The upshot of that rather long introduction is that we have
arranged to obtain the use of some display cases in one of the
public areas of the school late in February. We are going to
try to present the beauty of the pictures and the beauty of the
fact that they exist the way they do. In our wanderings
through the set we have found several fairly atrractive
portions of the it. We would, however, like some more.
What I would like to know is: Is there any one out on the net
that has come across other coordinates on the set that might
help us in what we are trying to do. If so, and if you'd like
to help us, please send me the coordinates of the image and (if
you'd like) the reason you thought the image was interesting.
To keep things consistant send the coordinates (and the width)
of the image in "complex plane" coordinates (real - x, imaginary - y)
I'll post the results to the net if any one is interested.
Thank you very much for your time,
Keith Fieldhouse
{allegra,seismo}!rochester!ritcv!krf7527gwyn@brl-tgr.ARPA (Doug Gwyn <gwyn>) (12/21/85)
> I'll post the results to the net if any one is interested.
Sounds like a good idea; please post the collected results.
My personal favorite is what we call "the egg":
(x,y) of lower left corner = (-0.61037,0.61467),
square 0.0001 on a side; this consists of an
embryo Mandelbrot set embedded in a egg-shaped
matrix that looks nice when colored with a
spectrum that cycles once every 64 iterations.gdykes@lasspvax.UUCP (Gene Dykes) (01/02/86)
To: cornell!uw-beaver!tektronix!hplabs!hao!seismo!brl-tgr!gwyn
Subject: Re: Mandelbrot Set coordinate request.
Newsgroups: net.graphics
In-Reply-To: <942@brl-tgr.ARPA>
References: <9195@ritcv.UUCP>
Organization: LASSP, Cornell U., Ithaca, N.Y.
Cc:
Bcc:
It's hard to find areas that aren't pretty!
I have some suggestions for you, however. Don't just request coordinates,
request the coloring scheme, too. One person's beautiful area may be
drab if you colored it differently than he did. If the contents of the
color luts were available, you could reproduce somebody else's effort
exactly.
You've probably already discovered that a versatile pseudo-coloring
program is vital. By playing around with the LUTs you can turn any
single image into dozens of different pictures, all gorgeous.
Another hint - be sure to use histogram equalization when converting
iteration values to pixel values. (Attempting to put the same number
of pixels in each bin from 0 to 255) To my eye, it results in much
more pleasing images.
--
Gene Dykes, 120 Rand Hall, Cornell U., Ithaca, NY 14853 (607)256-4880
{ihnp4,decvax,allegra,vax135}!cornell!lasspvax!gdykes gdykes@lasspvax.arpakay@warwick.UUCP (Kay Dekker) (01/05/86)
I've been examining the area at the very tip of the 'beak'; here are four coordinate sets which give a nice series of images from there. 1) DAISY WITH SPINDLES Bottom left corner (-1.999 999 999 944 849 35, -0.000 000 000 000 16) Image extent 0.000 000 000 000 25 Maximum number of iterations 1024 This is an image with a magnification factor of about x10^13. At the centre of the 'daisy' is the nearest bud to (-2, 0) [the very tip of the beak] that we've been able to 'see'. 2) MORE DETAILED DAISY BLC (-1.999 996 470 425 34, -0.000 000 000 096 21) Xtent 0.000 000 000 096 21 Maxits 1024 A different daisy this time (the first one is too tiny for our program to zoom in on). 3) ZOOMING IN TO THE CENTRE BLC (-1.999 996 470 354 98, -0.000 000 000 017 59) Xtent 0.000 000 000 035 77 Maxits 1024 4) OUR OLD FRIEND BLC (-1.999 996 470 342 54, -0.000 000 000 004 60) Xtent 0.000 000 000 010 27 Maxits 1024 Surrounded with a beautiful fringe of spindles. We produce our images on an AED512 graphics box; 512x512 pixels, 256 colours from a palette of 256^3. Here (if you can use it) is the colourmap that we use for displaying them (usually). It's organised as 256 lines of colour triples, each element in the range 0 .. 255. The triples are in R G B order. The first line (logical colour zero) specifies the black interior of the set. 0 0 0 254 0 1 253 0 2 252 0 3 251 0 4 250 0 5 249 0 6 248 0 7 247 0 8 255 255 255 250 250 255 245 245 255 240 240 255 235 235 255 230 230 255 225 225 255 220 220 255 215 215 255 210 210 255 205 205 255 200 200 255 195 195 255 190 190 255 185 185 255 180 180 255 175 175 255 170 170 255 165 165 255 160 160 255 155 155 255 150 150 255 145 145 255 140 140 255 135 135 255 130 130 255 125 125 255 120 120 255 115 115 255 110 110 255 105 105 255 100 100 255 95 95 255 90 90 255 85 85 255 80 80 255 75 75 255 70 70 255 65 65 255 60 60 255 55 55 255 50 50 255 45 45 255 40 40 255 35 35 255 30 30 255 25 25 255 20 20 255 15 15 255 10 10 255 5 5 255 0 0 255 255 0 0 255 20 0 255 40 0 255 60 0 255 80 0 255 100 0 255 120 0 255 140 0 255 160 0 255 180 0 255 200 0 255 220 0 255 240 0 255 255 0 255 255 5 255 255 10 255 255 15 255 255 20 255 255 25 255 255 30 255 255 35 255 255 40 255 255 45 255 255 50 255 255 55 255 255 60 255 255 65 255 255 70 255 255 75 255 255 80 255 255 85 255 255 90 255 255 95 255 255 100 255 255 105 255 255 110 255 255 115 255 255 120 255 255 125 255 255 130 250 255 130 245 255 130 240 255 130 235 255 130 230 255 130 225 255 130 220 255 130 215 255 130 210 255 130 205 255 130 200 255 130 195 255 130 190 255 130 185 255 130 180 255 130 175 255 130 170 255 130 165 255 130 150 255 130 145 255 130 140 255 130 135 255 130 130 255 130 125 255 130 120 255 130 115 255 130 110 255 130 105 255 130 100 255 130 95 255 130 90 255 130 85 255 130 80 255 130 75 255 130 70 255 130 65 255 130 60 255 130 55 255 130 50 255 130 45 255 130 40 255 130 35 255 130 30 255 130 25 255 130 20 255 130 15 255 130 10 255 130 5 255 130 0 255 130 0 255 125 0 255 120 0 255 115 0 255 110 0 255 105 0 255 100 0 255 95 0 255 90 0 255 85 0 255 80 0 255 75 0 255 70 0 255 65 0 255 60 0 255 55 0 255 50 0 255 45 0 255 40 0 255 35 0 255 30 0 255 25 0 255 20 0 255 15 0 255 10 0 255 5 0 255 0 251 0 4 250 0 5 249 0 6 248 0 7 247 0 8 246 0 9 245 0 10 244 0 11 243 0 12 242 0 13 241 0 14 240 0 15 239 0 16 238 0 17 237 0 18 236 0 19 235 0 20 234 0 21 233 0 22 232 0 23 231 0 24 230 0 25 229 0 26 228 0 27 227 0 28 226 0 29 225 0 30 224 0 31 223 0 32 222 0 33 221 0 34 220 0 35 219 0 36 218 0 37 217 0 38 216 0 39 215 0 40 214 0 41 213 0 42 212 0 43 211 0 44 210 0 45 209 0 46 208 0 47 207 0 48 206 0 49 205 0 50 204 0 51 203 0 52 202 0 53 201 0 54 200 0 55 199 0 56 198 0 57 197 0 58 196 0 59 195 0 60 194 0 61 193 0 62 192 0 63 191 0 64 190 0 65 189 0 66 188 0 67 187 0 68 186 0 69 185 0 70 184 0 71 183 0 72 182 0 73 181 0 74 180 0 75 179 0 76 178 0 77 177 0 78 176 0 79 175 0 80 174 0 81 173 0 82 172 0 83 Enjoy... Kay. -- This .signature void where prohibited by law ...ukc!warwick!kay