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Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Feb 05, 2020 4:20 pm
by Boustrophedon
Good tool here http://recursivedrawing.com/?fbclid=IwA ... qDG-muwUvM

Post your best efforts

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Feb 05, 2020 8:56 pm
by sTeamTraen
Indeed, an excellent tool.


Spoiler:

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Thu Feb 06, 2020 2:09 pm
by dyqik
Now do XKCD 95

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Tue Feb 11, 2020 11:38 am
by Stupidosaurus
Recent Scrutable joiner here, used to be a longtime lurker at badscience forum. Five minutes in and I've already found something awesome. I've missed you folks...

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Feb 12, 2020 4:35 pm
by Stupidosaurus
How the heck do I upload images in a message? There's an image button but it just puts in bracket things. Have checked FAQs...

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Feb 12, 2020 4:52 pm
by dyqik
Stupidosaurus wrote:
Wed Feb 12, 2020 4:35 pm
How the heck do I upload images in a message? There's an image button but it just puts in bracket things. Have checked FAQs...
You want the Attachments tab below the reply box.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Thu Feb 13, 2020 10:01 am
by plodder
hello stupidosaurus. are you fluffy or smooth?

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 8:52 am
by Stupidosaurus
I have a smooth top and fluffy sides!

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 8:57 am
by Stupidosaurus
Viruses! (slight cheat due to PowerPoint image filter to make it prettier)

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 9:00 am
by Stupidosaurus
Also a bog-standard tree thing.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 11:47 am
by Allo V Psycho
Stupidosaurus wrote:
Fri Feb 21, 2020 9:00 am
Also a bog-standard tree thing.
Hi Stupidosaurus!

I'm not sure this is a 'bog standard tree thing', though. I think it is a quite unusual tree (or stream pattern, or blood vessels, or lightning path, or lung branching etc. etc.) because, other than a few branches which just stop, I think the bifurcation ratio is close to 2*, and the 'distance to next branching' is generally the same after each branch point. I don't think it's an impossible tree, I wouldn't be surprised if there were real examples, but I think many trees have higher bifurcation ratios, and unequal branching.


*happy for any geologists to correct me

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 12:24 pm
by jaap
Allo V Psycho wrote:
Fri Feb 21, 2020 11:47 am
Stupidosaurus wrote:
Fri Feb 21, 2020 9:00 am
Also a bog-standard tree thing.
Hi Stupidosaurus!

I'm not sure this is a 'bog standard tree thing', though. I think it is a quite unusual tree (or stream pattern, or blood vessels, or lightning path, or lung branching etc. etc.) because, other than a few branches which just stop, I think the bifurcation ratio is close to 2*, and the 'distance to next branching' is generally the same after each branch point. I don't think it's an impossible tree, I wouldn't be surprised if there were real examples, but I think many trees have higher bifurcation ratios, and unequal branching.


*happy for any geologists to correct me
I'm sure Stupidosaurus did not mean it was like a bogstandard real tree, but more that it was a bogstandard example of a Tree Fractal. It may be bogstandard, but it still looks awesome.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Fri Feb 21, 2020 6:20 pm
by Allo V Psycho
jaap wrote:
Fri Feb 21, 2020 12:24 pm
Allo V Psycho wrote:
Fri Feb 21, 2020 11:47 am
Stupidosaurus wrote:
Fri Feb 21, 2020 9:00 am
Also a bog-standard tree thing.
Hi Stupidosaurus!

I'm not sure this is a 'bog standard tree thing', though. I think it is a quite unusual tree (or stream pattern, or blood vessels, or lightning path, or lung branching etc. etc.) because, other than a few branches which just stop, I think the bifurcation ratio is close to 2*, and the 'distance to next branching' is generally the same after each branch point. I don't think it's an impossible tree, I wouldn't be surprised if there were real examples, but I think many trees have higher bifurcation ratios, and unequal branching.


*happy for any geologists to correct me
I'm sure Stupidosaurus did not mean it was like a bogstandard real tree, but more that it was a bogstandard example of a Tree Fractal. It may be bogstandard, but it still looks awesome.
I agree about the awesomeness: those branching patterns just do something pleasurable to my brain! I was writing my reply with Peter Stevens' Patterns in Nature open beside me:
https://www.goodreads.com/book/show/403 ... -in-nature
Stupidosaurus, you might like that, if you haven't come across it before?

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Sun Feb 23, 2020 1:57 pm
by Stupidosaurus
Thanks Allo/Jaap. I was going for 'bog standard' as in 'a standard bifurcating tree' although, looking at it, not all the branches are the same. I couldn't find any way of saving the drawing meta-info (which bits were combined with which) so I'm not even sure I could replicate it. I fell in love with fractals when James Gleick's 'Chaos' book came out, I actually wrote some random-rule point-by-point fractal programs on a Sinclair Spectrum which took about 12 hours to render a grainy image (that should date me) and also bothered some post-grads I knew, who add access to 'real' computers/printers, to print out Julia sets and the like, which I adorned my undergrad room walls with. Hence, interest in the recursive drawing tool. I'll have a look at the book suggestion, though we are short on shelf space and pretty pictures might not work on a Kindle.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Sun Feb 23, 2020 2:31 pm
by Gfamily
Stupidosaurus wrote:
Sun Feb 23, 2020 1:57 pm
Thanks Allo/Jaap. I was going for 'bog standard' as in 'a standard bifurcating tree' although, looking at it, not all the branches are the same. I couldn't find any way of saving the drawing meta-info (which bits were combined with which) so I'm not even sure I could replicate it. I fell in love with fractals when James Gleick's 'Chaos' book came out, I actually wrote some random-rule point-by-point fractal programs on a Sinclair Spectrum which took about 12 hours to render a grainy image (that should date me) and also bothered some post-grads I knew, who add access to 'real' computers/printers, to print out Julia sets and the like, which I adorned my undergrad room walls with. Hence, interest in the recursive drawing tool. I'll have a look at the book suggestion, though we are short on shelf space and pretty pictures might not work on a Kindle.
I played with my own Julia Set generator (on a Sinclair QL) back in the day, including the step of plotting the JS coordinates onto the Mandelbrot set.

I discovered for myself how the periodicity of the JS relates to its position on the Mandelbrot set. It wasn't a first discovery, but it was very satisfying.
Mandelbrot and Julia.JPG
Mandelbrot and Julia.JPG (59.05 KiB) Viewed 564 times
The discovery was that the 'bulb' where 3 period sets exist is between the bulbs where 1 period and 2 periods exist
Similarly, the bulb for 5 period sets is between the bulbs for 2 periods and 3 periods
7 periods are between the bulbs for 2 periods and 5 periods and also between 3 periods and 4 periods.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Sun Feb 23, 2020 5:51 pm
by basementer
I immediately thought "Peitgen and Richter" and now I wonder if I can possibly have remembered the names accurately, decades later? Anyway, it was a coffee table book called "The Beauty of Fractals" published in the mid to late 80s. One of the articles therein called the Mandelbrot set an encyclopedia of the Julia sets, and that's what you discovered.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Mon Mar 02, 2020 1:50 pm
by Stupidosaurus
Here's the 'Barnsley Fern' fractal drawn in Excel using a 'random rule' transformation of a starting x,y position.
Barnsley Fern in Excel.png
Barnsley Fern in Excel.png (347.45 KiB) Viewed 484 times

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Mon Mar 02, 2020 1:56 pm
by Gfamily
basementer wrote:
Sun Feb 23, 2020 5:51 pm
I immediately thought "Peitgen and Richter" and now I wonder if I can possibly have remembered the names accurately, decades later? Anyway, it was a coffee table book called "The Beauty of Fractals" published in the mid to late 80s. One of the articles therein called the Mandelbrot set an encyclopedia of the Julia sets, and that's what you discovered.
I knew about the Mandelbrot Set being the map of Julia Sets; rather, my discovery was the mapping to periodicity.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Mon Mar 02, 2020 2:23 pm
by Aitch
Stupidosaurus wrote:
Mon Mar 02, 2020 1:50 pm
Here's the 'Barnsley Fern' fractal drawn in Excel using a 'random rule' transformation of a starting x,y position.Barnsley Fern in Excel.png
Ah, I remember when Byte magazine (anyone else remember that?) published a recursive fern drawing piece of Postscript code - I manage to lock up a Dec laser printer for about ten minutes printing a fern about 1.5" long. Get away with by claiming it was a test - I was system admin at the time. ;)

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Mon Mar 02, 2020 4:50 pm
by dyqik
Aitch wrote:
Mon Mar 02, 2020 2:23 pm
Stupidosaurus wrote:
Mon Mar 02, 2020 1:50 pm
Here's the 'Barnsley Fern' fractal drawn in Excel using a 'random rule' transformation of a starting x,y position.Barnsley Fern in Excel.png
Ah, I remember when Byte magazine (anyone else remember that?) published a recursive fern drawing piece of Postscript code - I manage to lock up a Dec laser printer for about ten minutes printing a fern about 1.5" long. Get away with by claiming it was a test - I was system admin at the time. ;)
A former, and older, colleague once implemented a whole bunch of radio-astronomy data analysis algorithms in Postscript, as the easiest powerful processor to get access to and tie up for a while was the group printer.

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Mar 04, 2020 8:50 am
by Pucksoppet
dyqik wrote:
Mon Mar 02, 2020 4:50 pm

A former, and older, colleague once implemented a whole bunch of radio-astronomy data analysis algorithms in Postscript, as the easiest powerful processor to get access to and tie up for a while was the group printer.
A hat tip for that hack.

I think the original Apple LaserWriter had a more powerful processor than any of the available Macintoshes at the time of its introduction. (Just checked - I see Wikipedia agrees).

Re: Recursive drawings of recursive drawings of recursive drawings of

Posted: Wed Mar 04, 2020 9:25 am
by MartinDurkin
dyqik wrote:
Mon Mar 02, 2020 4:50 pm
Aitch wrote:
Mon Mar 02, 2020 2:23 pm
Stupidosaurus wrote:
Mon Mar 02, 2020 1:50 pm
Here's the 'Barnsley Fern' fractal drawn in Excel using a 'random rule' transformation of a starting x,y position.Barnsley Fern in Excel.png
Ah, I remember when Byte magazine (anyone else remember that?) published a recursive fern drawing piece of Postscript code - I manage to lock up a Dec laser printer for about ten minutes printing a fern about 1.5" long. Get away with by claiming it was a test - I was system admin at the time. ;)
A former, and older, colleague once implemented a whole bunch of radio-astronomy data analysis algorithms in Postscript, as the easiest powerful processor to get access to and tie up for a while was the group printer.
Just curious, is that anything to do with PostScript's similarity to Forth and Forth being used by radio astronomers back in the 70's?