The Origami Forum

After much thought, inner debate and completely changing my mind several times... this month's challenge will be 15° angles.

Create an origami model that is predominantly constructed of 15° angles... that's all. A good example of what I'm talking about is Hideo Komatsu's giraffe...



Seiji Nishikawa has also created a few models based on 15° angles... and I'm sure a search of this forum will yield more models made by our own members, if you should require more inspiration.

The rules:
-The model must be comprised mostly of 15° angles (it's multiples and divisions count as well, see next rule). At the very least, half of the model should be constructed this way... more is preferable.
-You can also use multiples of 15°... 30°, 60°. Or divisions... 7.5°, 5° (if you really feel like narrowing down your points).
-The model can be of any subject matter at all (or no subject matter, in the case of purely abstract or geometrical origami).
-Use only one sheet of paper (it can be a square, a rectangle or even a triangle if you're feeling goofy) and no cuts.
-There are no prohibitions against wet folding, using MC or foil paper.
-All levels of complexity are welcome.
-The model doesn't have to be new to you, just new to us here on the forum.
-Including a crease pattern or an explanation of how you made your model would be helpful (but not necessary) for this challenge.
-Donya will judge this month's challenge and choose the theme for next month's.

Amendments to the rules:
-Yes, hex pleating is allowed.

If you have any questions, ask away.

Holy cow, this challenge will be difficult! Maybe I'll have to resort to abstract origami...

this is really hard.
im not quite sure how to make 15 degree origami

There is a 15-degree-based antelope sitting on the Paediatric Emergency department desk at work, which I designed and folded during a quiet spell this afternoon. I'll fold it again from something decent when I get a chance.

Watch this space...

PS: David Brill's horse base is 15 degree based, if anyone wants a base for starters. Diagrams are on the net.

Folding 15° angles isn't that hard. Let's take the 90° corner of a square for example... rather than bisecting that corner (resulting in two 45° angles) and then bisecting those angles again (resulting in four 22.5° angles) you would trisect the corner (resulting in three 30° angles) and then bisect those angles (resulting in six 15° angles). If you choose to start with an equilateral triangle rather than a square (as in Dave Brill's horse) you almost can't help but use 15° angles when folding.

So, you can see the that actually getting the proper angles isn't the hard part... designing something with them is the challenge.

a quick google search for getting a 30 degree angle yielded:

http://www.britishorigami.info/academic/3060.php

As mentioned before, dividing the 30 degree angle in half will give you a 15 degree angle.

Oh, great challenge !! I'll try!)

ah, now i get it! thanks for the explination juston
i folded two 15 degree models - all of the points are 15 degrees on both models.

beetle




king crab

I hate to nitpick about photo quality (since I am far from a good photographer and always struggle with quality in my own photos), but the beetle photos are much too dark for me to tell much about the design except its outline. If all I can really distinguish is a model's silhouette, it quickly becomes difficult to compare the model to others with more visible details (color changes, shaping, etc.).

sorry about this, i have rephotographed it

hmmm are things using pleating on hexagonal grids allowed (I don't see why they wouldn't but I figured I ask anyway lol ) like tessellations or, in my case, tessellation masks?

I've got a new design for a mask I'm working on and I figure I could probably put it to some use here as well

shame I can't use a dog I had designed like 6 or so months ago as its folded from a triangle :B I already put pictures of it up on my flickr though so I don't think it really counts XD

Yes BluePaper, hex pleating is allowed... I didn't mention it in the rules at first because I didn't want to unduly terrify anyone who was already dubious about folding with 15° angles. I'll amend the rules.

Joshua, I like that king crab... but I think you can make it more accurate very easily. The king crab's claws should be much shorter than the rest of it's legs... if you can find some way to split the points on it's front legs and form the claws, they will look more accurate in both shape and size.

ok, thanks
ill refold it tomorrow

As far as I remember, Kamiya's barosaurus is also based on 15 degree angles.