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making a flexagon

Feb 12, 2012, 05:30
Post: #1
making a flexagon
Hey guys! I work with children in an after-school program - I was looking for a hands on way they could either learn something new, or just look at pictures. Interaction is fun!

Anyways, I was checking out flexagons - check the link:
http://britton.disted.camosun.bc.ca/trih...xagon.html
http://www.youtube.com/watch?v=SnnvovjcC_o

I printed out the .pdf from the above link, and then printed out some pictures that I wanted to place on there rather than the pre-printed images.

I folded the flexagon together, then cut the pictures out and glued all the pieces on individually. I thought...there has to be an easier way.

Is there a way to cut a picture up in gimp - take the pieces and place them on a template? It would be a cleaner option, and save some time.

Let me know if you have any ideas! I feel like this would be something easy to program...if I were a programmer. It is essentially taking a picture apart and putting it on a template so when its folded together, the picture emerges.
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Feb 12, 2012, 13:31 (This post was last modified: Feb 12, 2012 13:35 by ofnuts.)
Post: #2
RE: making a flexagon
Always a SMOP for someone else Smile Actually not too trivial given the rotations/translations to apply (you wouldn't be moving triangles, but the rectangles that bound them....)

PS: His template is useless since all triangles are the same, if you try to rebuild a random picture you don't know where to put which parts...

Now answering your questions on
https://Gimp-Forum.net
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Feb 12, 2012, 14:13
Post: #3
RE: making a flexagon
@wamparoo

I can only think of doing it the hard way.

I do know hexaflexagons from the past, There are some great books by Martin Gardner. One of them "Mathematical Puzzles and Diversions", it is the subject of first chapter.

I would suggest numbering up the folded template, then unfolding it again to see how it fits together. Make a new template with this information.

Then construct a hexagon template where you can add an image, copy, paste and rotate into the correct locations. Not so easy and tedious.

Here is an example for one face only. I will let you do the other faces. Ofnuts will approve since it uses lots of paths.

the hexagon template with an image
http://i.imgur.com/J3eLg.jpg

the hexaflexagon template with the parts of the image.
http://i.imgur.com/AvtWm.jpg

the folded hexaflexagon, the third 'twist' are just 2 blank sides.
http://i.imgur.com/TsdfX.jpg

If you want to play with the 2 templates I made (made very quickly, you can do better) they are here
https://rapidshare.com/files/2913608714/...exagon.zip

** https://www.gimp-forum.net/ now answering questions**
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Feb 14, 2012, 15:35 (This post was last modified: Feb 14, 2012 15:37 by wamparoo.)
Post: #4
RE: making a flexagon
The hard way works! That is what I was talking about! This might be beyond my current talents though. I want to learn, I'm just not there yet.

Rich, thanks for putting all that work into your response, I really appreciate it! Now I just have to learn exactly HOW you created the template and paths. For the experienced readers...feel free to roll your eyes Smile

We all start out as beginners, right? I have alot of youtube tutorials to look up! At least I know that this is possible.

I already have the completed hexaflexagon (that I cut and pasted pictures on before) sitting next to me, so I know where the pieces of the pictures will go when I do this; Is there a way to standardize the paths so that i can put a picture in that hexagon shaped template and the individual pieces will automatically assign themselves to the corresponding place on the flattened out template? Or do I have to do that by hand for every single picture?

Either way, it will still look better than what I have...

- Thanks again,
James

P.S - ofnuts, I appreciate your response also; I had to look up SMOP; I'm not well versed in the lingo! I wasn't trying to offload this task to someone else, I was just trying to see what was possible - does that make sense?

Since one of the main functions of computers and programs is to handle mundane and repeatable tasks...I felt like this is something that a computer should be able to do...I just lack the programming skills to figure out how to put my plan into action. It seems I also lack the basic GIMP skills as well! At least I know it can be done...Rich gave me a nice headstart!
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Feb 15, 2012, 18:19
Post: #5
RE: making a flexagon
(Feb 14, 2012 15:35)wamparoo Wrote:  The hard way works! That is what I was talking about! This might be beyond my current talents though. I want to learn, I'm just not there yet.

Rich, thanks for putting all that work into your response, I really appreciate it! Now I just have to learn exactly HOW you created the template and paths. For the experienced readers...feel free to roll your eyes Smile

We all start out as beginners, right? I have alot of youtube tutorials to look up! At least I know that this is possible.

@ wamparoo

I've made some videos that might help.

Still no other method than the hands-on approach. I gave up coding (with quickbasic) when I moved from M$DOS to Win3 many years ago.

1. Recreating the flexagon template from scratch to fit onto A4 with the normal paint tools.
http://youtu.be/0uOAX_y-o2g (about 8 mins)

2. Making a Hexagon and using paths for selections.
http://youtu.be/An5c27Gg-OU (about 7 mins)

3. Using the two templates to add one graphic image side to a hexaflexagon. Lots of select, copy, paste, move and rotate.
http://youtu.be/IMjkbZa6muc (about 4 mins)

All standard Gimp tools, nothing special is used.

Best of luck

** https://www.gimp-forum.net/ now answering questions**
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Jun 6, 2013, 16:53
Post: #6
RE: making a flexagon
(Feb 12, 2012 05:30)wamparoo Wrote:  Hey guys! I work with children in an after-school program - I was looking for a hands on way they could either learn something new, or just look at pictures. Interaction is fun!

Anyways, I was checking out flexagons - check the link:
http://britton.disted.camosun.bc.ca/trih...xagon.html
http://www.youtube.com/watch?v=SnnvovjcC_o

I printed out the .pdf from the above link, and then printed out some pictures that I wanted to place on there rather than the pre-printed images.

I folded the flexagon together, then cut the pictures out and glued all the pieces on individually. I thought...there has to be an easier way.

Is there a way to cut a picture up in gimp - take the pieces and place them on a template? It would be a cleaner option, and save some time.

Let me know if you have any ideas! I feel like this would be something easy to program...if I were a programmer. It is essentially taking a picture apart and putting it on a template so when its folded together, the picture emerges.
I am a flexagon lover and creator. So far I have only used Pages to make flexagons, but I have an idea of what you have to do. You need to create your blank flexion. Then you need to use a new page to make just one hexagon, do an image fill with a picture you want on your flexagon. Put in the lines indicating the individual triangles. Using mask with shape, you can size your shape to fit the individual triangles, copy them, open up the flexion (sorry for the spelling, the program doesn't allow me to spell it correctly), and paste in the proper triangle. I'm not familiar yet with the terminology of GIMP, but I think one should be able to do the same with it as well. Yes, it's a bit time consuming, but once you get the hang of it, it goes pretty fast and it is very satisfying.
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