Montroll Antelope

elcomadreja2 · Post by **elcomadreja2** » December 26th, 2009, 2:05 am

With the goal of successfully folding "Animal Origami for the Enthusiast" I'm currently stumped on the antelope. Somewhere between step 34 & 46, the forming of the head, I ask myself, what in the world is going on here? is 34 a "fold as far as you can" step? If so there doesn't seem to be a whole lot of difference between doing this fold and just folding to the corner. Is the note on 46 maybe referring to the head and not the legs?
If it matters, I'm using an 11x11 inch piece of copy paper.
Thanks guys, I like this place (and didn't get chastised when I started a thread that had already been started. oops)

strolgen · Post by **strolgen** » December 27th, 2009, 5:38 am

I don't see any " "fold as far as you can" in step 34 and 46?
What steps are you referring to in Antelope diagram?

elcomadreja2 · Post by **elcomadreja2** » December 27th, 2009, 8:27 pm

step 34... doesn't ask you to fold the flap diagonally... but somewhat askew. What is the guide when making this fold?

origamimasterjared · December 27th, 2009, 8:49 pm

Quick diagram I made of what's happening in that step. You're bisecting that angle at the bottom right. Folding so that the entire right edge lies along the bottom left edge.

HankSimon · Post by **HankSimon** » December 28th, 2009, 7:06 pm

Jared: I haven't folded this one, but I follow the step... however, not how you got there ?

Is there a simple way to describe how you came up with a 67.5 degree angle, as well as the clear description for aligning the edges... which is not obvious in Montroll's diagrams ?

Thanks,
Hank Simon

origamimasterjared · December 29th, 2009, 9:07 am

It's not obvious? Heh, I thought it was. The edge of the layers you fold should lie flush with the leftmost edge. The only way to do that with two lines that intersect (as those do at the bottom right) is to bisect the angle between them.

The 67.5˚ angle just follows from the standard origami geometry. The majority of complex representational origami is based on 22.5˚ angles. This is because splitting a right angle into 4ths gives you 22.5˚. 3 x 22.5˚ = 67.5˚ and that's why 67.5˚ angles are quite common. Also, the geometry between them is very nice and clean, with inbuilt offsets, layers lining up, etc. In this case, just look at the steps and note that all the folds leading up to this point have been at multiples of 22.5˚. This means all those angles are gonna have to be too. It's obviously not a 22.5˚ angle down there, nor a 45˚, not a 90˚ or bigger, so it must be a 67.5˚!

HankSimon · Post by **HankSimon** » December 29th, 2009, 6:42 pm

You're right, now that you explained it, it was intuitively obvious

Thx,
- Hank Simon