Generated Mandalas; from basic points on circle to random complex asymmetric patterns

#1

Prompted by this awesome art:

I am exploring using Mathematica to export SVGs of mandala like generated images.

First up? A zip file containing SVGs where each contains 4 to 20 points on a circle, all connected.

File 13 shown below.

Basic Circular Symmetry.zip (45.2 KB)

I’ll add mandala like renderings, if I can figure out how, in a comment on this in a bit.

basic-13

To be clear, I’m starting with the rather brilliant work shared by others and modifying it to make it export friendly and to (potentially) make it a bit more GF friendly:


Moving on from simple geometry, I modified Simon Woods’ answer on the above StackExchange question to generate thousands of random mandala like patterns. Each file is named mandala-N-M-#. The N is the # of features around the circle (i.e. 2 circles, 2 pointy bits, whatever) and the M is the # of circles of mandala like patterns generated (i.e. 10-5-# means there are 10 copies of each feature around 5 circles of different features). The # is just a placeholder; for each combination of copy + circle, I generated 10 different examples. Each zip contains SVG for one particular N value where there are 2 generated files for each M.

simple-mandala-10.zip (5.8 MB)
simple-mandala-11.zip (5.7 MB)
simple-mandala-12.zip (6.2 MB)
simple-mandala-13.zip (6.0 MB)
simple-mandala-14.zip (5.8 MB)
simple-mandala-15.zip (6.2 MB)
simple-mandala-16.zip (6.3 MB)
simple-mandala-17.zip (6.1 MB)
simple-mandala-18.zip (6.1 MB)
simple-mandala-19.zip (6.1 MB)
simple-mandala-9.zip (5.2 MB)
simple-mandala-2.zip (2.4 MB)
simple-mandala-20.zip (6.2 MB)
simple-mandala-21.zip (6.8 MB)
simple-mandala-22.zip (5.9 MB)
simple-mandala-24.zip (6.7 MB)
simple-mandala-23.zip (6.4 MB)
simple-mandala-25.zip (6.6 MB)
simple-mandala-26.zip (6.6 MB)
simple-mandala-27.zip (7.0 MB)
simple-mandala-29.zip (6.9 MB)
simple-mandala-28.zip (6.8 MB)
simple-mandala-3.zip (2.9 MB)
simple-mandala-4.zip (3.2 MB)
simple-mandala-8.zip (5.0 MB)
simple-mandala-7.zip (4.8 MB)
simple-mandala-5.zip (4.2 MB)
simple-mandala-6.zip (4.0 MB)

Or, if you want to download all 2.9GB / 7,840 files, try this link: https://www.dropbox.com/s/6sw4vrfz9b7gyap/simple-mandalas.zip?dl=0

Some examples:

2-26

mandala-2-26-0

7-8

mandala-7-8-0

16-6

mandala-16-6-0

29-29

mandala-29-29-1


Exploring Anton Antonov’s answer, I ended up generating a ton of what are more snowflakes than mandalas.

mandala-snow-4 mandala-snow-52 mandala-snow-72

Here are 250 of them:

Mandala Snow.zip (782.1 KB)

31 Likes

Why is this so satisfying?
#2

Wow! That’s super cool!

1 Like

#3

I shifted that to the Tutorials section…you should be able to add anything to it as you flesh out the process. :grinning:

3 Likes

#4

Thanks, Jules!

I think I’m on to something. Currently generating a few thousand variants on these. Expect to have 'em upload able in a few hours. My Mac mini is being a very effective room warmer at this point. :slight_smile:
mandala-4-8-8 mandala-2-25-9 mandala-2-5-5

5 Likes

#5

OOoh… the generator is doing very cool things. Can’t resist sharing this one:

mandala-4-27-3

And they aren’t all symmetrical! I love tweaking with things I don’t fully understand. :slight_smile:

mandala-5-14-4

7 Likes

#6

These are awesome! Been needing something good to color in between the lines. :joy:

3 Likes

#7

Oh, wow, just the basic circular symmetry gets cool pretty quickly! Scrolling through the files in the ZIP and watching how they get more and more complex is kind of fun. :slight_smile:

3 Likes

#8

If someone can clue me in as to how to share 3GB of SVG, you’re gonna have a blast scrolling through the full set of algorithmic mandalas! There are some real surprises in there. Including lack of symmetry in some cases!

mandala-5-16-1

1 Like

#9

Dropbox? I can’t remember how much space the free version comes with, but I have space on mine if you need it. :wink:

0 Likes

#10

OK-- let’s try this (this is all 825.1MB of generated SVG-- about 2.9GB uncompressed).

8 Likes

#11

It works!

0 Likes

#12

It takes a LOT of scrolling, but there are some pretty cool designs in there! (Tip to others: Start from the bottom of the list! :wink: )

5 Likes

#13

These are great @bbum. You obviously went through a great deal of effort to generate these. I will enjoy going through the very large file and picking out a few fabulous ones to do something with. Thanks for sharing.

4 Likes

#14

That is a load of files! Mandalas can be fun.

3 Likes

#15

Please tag me if you share something! I’d love to see what people create with these!

I have some more algorithms up my sleeve and will likely dump a few gigs more SVGs in the near future. :slight_smile:

2 Likes

#16

Am still going through the very large file - saving those I like and discarding those I don’t (I have limited space left on my laptop). I tend to like the ones that are perfectly geometric (is that the right way to say this) and have an inner symmetry to them.

2 Likes

#17

Ooh… that sparked an idea. I bet I can make the generator recurse a bit. So, instead of a ring of circles, you’d end up with a ring of circles of circles. Then, I can add regular polygon to the pathing so you end up with, say, a triangle or hexagon with circles of circles at the points.

3 Likes

#18

I’ll certainly be curious what you come up with!

1 Like

#19

playing with an app called Mirrorgraph I was able to do this,


more designs than I can explore actually

After some fooling with in Irfanview

7 Likes

#20

That should make an interesting engrave!

2 Likes