Newsgroups: bit.listserv.frac-l
Date:         Fri, 22 Jan 1993 02:01:12 -0500
From:         Robert P Munafo <mrob@WORLD.STD.COM>
Subject: Re: Stuff

>You are apparently knowledgable about the Mandelbrot set. Could you
>provide a basic geography of the Mnadelbrot set?

I can't resist!
====
In the ilustration, features are identified with numbers 1 through 9.
Explanations follow:
                                     vL  ,
                                     '"m-`
                                   -m/""\a,
                            ...  _,/Y, 3 ),.,   .,
                      5a    'YF-.F~"^'  `'"~*eae/;
     4        .        \  -__/"              '`_*
9    |         )_. :c,_ \ ./-                   T\a
|    |          ^F"-~~*a, /`                     dL
|           \_,\F^      '\`                     ."`
_____\____._/"^"    2                  1      .m~ ---7
     `    ' :"r(,        .                      ~e
  \__ __/   `  -\r._____/`L                      @e
     8         _-""^)~*'  ]c                    .^_
              -~    `   / .)L_,                _-`'
                       /    .]F_.,,        ,.-e_@,
                     5b     -*Y^ "~"v-  -/-~* '`]-
                                   d@, 6 (,
                                    ^'"m-'
                                     :"^^`
                                    '^`
   View: -0.759 +0.000i @ +2.500

1. The solid cardioid-shaped region.
   Colloquial: Main cardioid, body
   Technical: Continent seed
   R2-Name: Ra

2. The largest solid circle.
   Colloquial: Head, 2-ball, west radical
   Technical: Mu-atom of period 2
   R2-Name: R.1/2a

3. (located straight up from 1) The second-largest solid circle (in a tie
   with #6)
   Colloquial: 3-ball, north radical
   Technical: a Mu-atom of period 3
   R2-Name: R.1/3a

4. (line points down at feature) The largest island mu-molecule
   Colloquial: period-3 midget, largest midget, largest bug
   Technical: second-largest mu-molecule
   R2-Name: RF(1/2B1)S

5a.(line points down into feature) The narrow region between Ra and R.1/2a .
   Colloquial: seahorse valley (northern), fjord at -3/4
   R2-Name: R.C(1/2)+
5b.Colloquial: seahorse valley (southern)
   R2-Name: R.C(1/2)+

6. (located straight down from 1) The second-largest solid circle (in a tie
   with #3)
   Colloquial: 3-ball, south radical
   Technical: a Mu-atom of period 3
   R2-Name: R.2/3a

7. (line points left towards feature) The cusp of the main cardioid.
   Colloquial: elephant valley, east valley
   R2-Name: R.C(0)

8. ("bracket" indicating entire filament area) The entire filament "west" of
   R.1/2a .
   Colloquial: Main antenna, proboscis, spike
   R2-Name: RF(1/2B)

9. The leftmost tip.
   Colloquial: Utter west
   R2-Name: RF(1/2B1)t

Some more details near the upper half of Ra :

                    -./
               5---  -;c    .
                     ''Te.a\`` ---6
                     ._.(%_
                .,,\ d^[^YF- ,_
                 ^`\-"`` ^`b(F-
                 -*d`   2  '"m
   _,._:,   .,. _,'"c,     .*, _ ...       -_
   'L))%_m,.-Y*e(""-^'`  ''^-'-^e/*F-  _., "F_,
    `_$   \/`^                     `(e:-^"-r*%`
  _ .'^e-                            '"   ]$-
vmY/e"^   \                           / `(^.
_^Y/'      \                         /    ^d__.:,
$-`         3                       4      "^"e@-
"`                     1                    -^`
`                                           '-a)
                                            'F^
                                           _['
   View: -0.081 +0.625i @ +1.250

1. R2-Name: Ra (same as #1 above)

2. R2-Name: R.1/3a (same as #3 above)

3. R2-Name: R.2/5a
   Colloquial: northwest radical.

4. R2-Name: R.1/4a
   Colloquial: northeast radical.

5. (line points to the right towards feature)  The large midget above R.1/3a .
   R2-Name: RF(1/3B1)S

6. (Line points to the left towards feature)  The point 0+i.
   R2-Name: RF(1/3B2){FS[2]FS[0]}x~

====
From Robert Munafo's Mandelbrot Set Glossary amd Encyclopedia.  Usage of
this material is subject to the terms and conditions of the GNU General
Public License.
--
mrob's .sig #4 |                                            '^`^` T_,       .-`
collect all 5! |    Internet: mrob@world.std.com                   "r"-, .---F
Comments: Gated by NETNEWS@AUVM.AMERICAN.EDU