Logo by Pauldelbrot - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
*
Welcome, Guest. Please login or register. March 29, 2024, 01:24:06 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Hand drawn fractal and how to make it an algorithm?  (Read 1858 times)
0 Members and 1 Guest are viewing this topic.
raphuu
Guest
« on: March 17, 2010, 04:23:17 PM »

[sorry for triple post, but each time i try to add a picture to the post, i get a server internal error, and then the post is unreadable]

Hi folks,

I am a visual artist. I have been following this forum since the Mandelbulb story with great interest.

Lately, I have been experimenting with some procedural drawings with a compass which lead to, imho as a non-mathematician/programmer, a kind of fractal (examples attached). I am looking for a way to put it into algorithms so that a software can draw it. I'll be happy if someone could help me on that or at least tell me if it is feasible or not. cheesy

thank you!






To produce it, it goes like this:

On a sheet of paper,

Initialisation:

chose an arbitrary initial point.
chose an arbitrary radius
trace an arc of arbitrary length (but > 180°).

Iteration (first one):

Open the compass to the length between the two ends of the first arc.
put the spike of the compass on one end of the first arc (new center).
trace the second arc. its length is defined by the line of the first one, i.e. the line acts as hard boundary.

Iteration (rest):

Open the compass to the length between the two ends of the last arc.
put the spike of the compass on the end of the last arc which is closer to the center of the very first arc.
trace a new arc. its length is defined by the line of the other, already drawn, ones. when several possibilities exist, trace where there is the most place, i.e where you can draw the longer line.

Remarques:
1) if the line goes out of the sheet of paper and cannot come back in again, its length is taken from the border of the sheet.
2) if the line goes out of the sheet of paper and can come back in again, then the missing part of the arc is taken into consideration when looking for the longer line possible.
« Last Edit: March 21, 2010, 06:46:44 PM by raphuu » Logged
kram1032
Fractal Senior
******
Posts: 1863


« Reply #1 on: March 17, 2010, 06:15:17 PM »

For the reason you mentioned already (strange O.o), there actually is no image.
However, just by what I have in mind, according to your descriptions, I got it like the second always is a circle, as when you put the compass needle into the end of the first arc and draw a second arc from one "wall" to the next, this is the very same place for beginning and end, directly on the first arc...

By far not as beautiful as it probably would be if I used a compass, but I tried some letter-based fractals by hand (and in these particular examples by mouse, so they are pretty wonky^^)
but look yourself if you're interested smiley
http://kram1032.deviantart.com/gallery/#Tutorials
Logged
raphuu
Guest
« Reply #2 on: March 18, 2010, 08:46:57 AM »

Quote from: kram1032 link=topic=2744.msg14254#msg14254 date=
However, just by what I have in mind, according to your descriptions, I got it like the second always is a circle, as when you put the compass needle into the end of the first arc and draw a second arc from one "wall" to the next, this is the very same place for beginning and end, directly on the first arc...

thank you for the answer, and you are right. I forgot the step where after each iteration you open the compass to the length of the previous arc. (edited in original post).

I'll post images later on with a link to an external site… done.
« Last Edit: March 18, 2010, 02:23:18 PM by raphuu » Logged
kram1032
Fractal Senior
******
Posts: 1863


« Reply #3 on: March 18, 2010, 07:22:19 PM »

Ah, I see smiley

Great images, very wild pattern cheesy
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Hand drawn fractals of anything from E=MC^2 Parameter Files JASONPADGETT 2 10939 Last post December 09, 2015, 11:22:42 PM
by Sockratease
Hand drawn fractals of anything (arising from E=MC^2) Images Showcase (Rate My Fractal) JASONPADGETT 1 1758 Last post May 03, 2008, 10:06:42 AM
by cKleinhuis
My first hand calculated fractal Fractal Humor DarkBeam 5 3093 Last post September 13, 2011, 02:41:50 AM
by Tabasco Raremaster
Hand Carved Wood Fractal Images Showcase (Rate My Fractal) thom 0 703 Last post March 20, 2013, 02:43:42 AM
by thom
Hand Drawn Sierpinski Triangle Images Showcase (Rate My Fractal) PieMan597 5 1678 Last post November 21, 2014, 11:36:41 AM
by PieMan597

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.245 seconds with 25 queries. (Pretty URLs adds 0.011s, 2q)