Retro Remixes

Retro Remixes
Listen to great Commodore 64 remixes courtesy of the awesome SLAY Radio.

Listen to retro remixes


Slay Radio

Download our free toolbar!

Access Retrobabble content and exclusive retrogames direct from your browser.



Mandelbrot Set Zoom Sequence

Start. Mandelbrot set with continuously coloured environment.
Gap between the "head" and the "body" also called the "seahorse valley".
On the left double-spirals, on the right "seahorses".
"Seahorse" upside down.
The central endpoint of the "seahorse tail" is also a Misiurewicz point.
Part of the "tail" — there is only one path consisting of the thin structures that lead through the whole "tail". This zigzag path passes the "hubs" of the large objects with 25 "spokes" at the inner and outer border of the "tail"; thus the Mandelbrot set is a simply connected set, which means there are no islands and no loop roads around a hole.
Satellite. The two "seahorse tails" are the beginning of a series of concentric crowns with the satellite in the center.
Each of these crowns consists of similar "seahorse tails"; their number increases with powers of 2, a typical phenomenon in the environment of satellites. The unique path to the spiral center passes the satellite from the groove of the cardioid to the top of the "antenna" on the "head".
"Antenna" of the satellite. Several satellites of second order may be recognized.
The "seahorse valley" of the satellite. All the structures from the start of the zoom reappear.
Double-spirals and "seahorses" - unlike the 2nd image from the start they have appendices consisting of structures like "seahorse tails"; this demonstrates the typical linking of n+1 different structures in the environment of satellites of the order n, here for the simplest case n=1.
Double-spirals with satellites of second order - analog to the "seahorses" the double-spirals may be interpreted as a metamorphosis of the "antenna".
In the outer part of the appendices islands of structures may be recognized; they have a shape like Julia sets Jc; the largest of them may be found in the center of the "double-hook" on the right side.
Part of the "double-hook".
A Julia Island
Log in
to vote
2
Matt

In honour of the late Benoit Mandelbrot please enjoy these beautiful images taken from repeated magnifications of the standard Mandelbrot set up to approximately x10,000,000,000 in the last image.

Posted by Matt on October 19th 2010

Facebook

Add a comment

The content of this field is kept private and will not be shown publicly.
  • Web page addresses and e-mail addresses turn into links automatically.
  • Allowed HTML tags: <a> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd>
  • Lines and paragraphs break automatically.

More information about formatting options

CAPTCHA
This question is for testing whether you are a human visitor and to prevent automated spam submissions.
Image CAPTCHA
Enter the characters shown in the image.

Tags

Most babbled retro galleries:

Log in
to vote
6

Fighting Fantasy Gamebook Art


Retro Gallery (21 pictures)
Posted by benoitm on June 26th 2010
View gallery
Log in
to vote
6

JSW Pop-up Birthday Card


Retro Gallery (1 pictures)
Posted by DM on October 25th 2011
View gallery
Log in
to vote
3

Manic Miner Levels


Retro Gallery (12 pictures)
Posted by manicminer on May 14th 2010
View gallery
Log in
to vote
2

All Me Mates


Retro Gallery (16 pictures)
Posted by lizzie on March 25th 2010
View gallery
Log in
to vote
2

Moogles Through the Ages


Retro Gallery (11 pictures)
Posted by Moogle on March 30th 2010
View gallery
Log in
to vote
2

Star Wars Bubble Gum Cards


Retro Gallery (60 pictures)
Posted by teh_catt on July 10th 2010
View gallery
Log in
to vote
1

My Commodore Computers


Retro Gallery (6 pictures)
Posted by retroadmin on March 23rd 2010
View gallery
Log in
to vote
1

AlleyCat's Retro Gallery


Retro Gallery (3 pictures)
Posted by AlleyCat on May 23rd 2010
View gallery
Log in
to vote
1

My memories


Retro Gallery (4 pictures)
Posted by Firebrand on May 23rd 2010
View gallery
Log in
to vote
1

Retro...Babel


Retro Gallery (1 pictures)
Posted by j0nesy85 on June 8th 2010
View gallery
toolbar powered by Conduit

Recent Comments

Cumulus Tag Cloud

more tags

Recent Blog Posts

I love Retro! retro-love-right.png