PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: Very low
[parent] San Marco dragon (Example)

The San Marco dragon is a Julia set produced by

$\displaystyle c = -\frac{3}{4} + 0i.$
\includegraphics{SanMarcoDragon}

Like other Julia sets on the horizontal center line of the Mandelbrot set, the San Marco dragon is symmetrical around its horizontal axis, but this particular set reminded Benoît Mandelbrot of St. Mark's cathedral in Venice (and its reflection in the canal) more than the others.

Bibliography

1
H. Lauwerier, translated by Sophia Gill-Hoffstädt. Fractals: Endlessly Repeated Geometric Figures Princeton: Princeton University Press (1991): 144



"San Marco dragon" is owned by PrimeFan.
(view preamble)

View style:


This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: reflection, Beno\^it Mandelbrot, axis, Mandelbrot set, line, center
There is 1 reference to this entry.

This is version 2 of San Marco dragon, born on 2007-06-14, modified 2007-06-15.
Object id is 9603, canonical name is SanMarcoDragon.
Accessed 522 times total.

Classification:
AMS MSC28A80 (Measure and integration :: Classical measure theory :: Fractals)

Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add example | add (any)