Recursive drawings of recursive drawings of recursive drawings of
Posted: Wed Feb 05, 2020 4:20 pm
Indeed, an excellent tool.
Spoiler:
Scrutable
Open to critical enquiry
https://scrutable.science/
Recursive drawings of recursive drawings of recursive drawings of
Page 1 of 1
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Wed Feb 05, 2020 8:56 pm
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Thu Feb 06, 2020 2:09 pm
Now do XKCD 95
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Tue Feb 11, 2020 11:38 am
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
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
You want the Attachments tab below the reply box.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...
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Thu Feb 13, 2020 10:01 am
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
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
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
Also a bog-standard tree thing.
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Fri Feb 21, 2020 11:47 am
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
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.Allo V Psycho wrote: Fri Feb 21, 2020 11:47 amHi 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 6:20 pm
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:jaap wrote: Fri Feb 21, 2020 12:24 pmI'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.Allo V Psycho wrote: Fri Feb 21, 2020 11:47 amHi 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
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
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
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.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 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 (59.05 KiB) Viewed 7669 times
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
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
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 (347.45 KiB) Viewed 7589 times
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Mon Mar 02, 2020 1:56 pm
I knew about the Mandelbrot Set being the map of Julia Sets; rather, my discovery was the mapping to periodicity.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.
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Mon Mar 02, 2020 2:23 pm
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.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
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: 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.Aitch wrote: Mon Mar 02, 2020 2:23 pmAh, 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.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
Re: Recursive drawings of recursive drawings of recursive drawings of
Posted: Wed Mar 04, 2020 8:50 am
A hat tip for that hack.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.
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
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?dyqik wrote: Mon Mar 02, 2020 4:50 pmA 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.Aitch wrote: Mon Mar 02, 2020 2:23 pmAh, 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.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