3D rhombic twists

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Elephant hide, rectangle 4:5 from A3

I was trying to reverse-engineener this model by Tomoko Fuse.

The above twists are sitting on orthogonal crossing of 2 pleats, one being half width of the other ; they can't be squashed flat, however, like in T.Fuse's model.
So my geometrical hypothesis is wrong, I don't really care, since I'm pleased with the aesthetic result.

Thanks to Mawelucky for pointing out these wonderful photos.

Comments

	mawelucky says: I believe Eric found a way to do that kind of rhombic twists sometime ago: www.flickr.com/photos/origomi/102718176/in/se t-152104/ Maybe if you try using grids like the ones Tango likes so much it will work. This new work of yours is beautiful! Posted 24 months ago. ( permalink )
	LorenzoMarchi says: Beautiful one, I like them more this way than squashed! :P Posted 24 months ago. ( permalink )
	EricGjerde says: Melisande, these are beautiful! and the elephant hide really makes it twice as lovely. These look like seed pods, or parts of an orchid, or shark egg cases- very organic! looking at the Fuse tessellation, she's using the 135/135/90 pleat intersection, just like you guys have been doing. (the pleat relationship for that is 1:sqrt(2), or so Boaz Shuval tells me). I think she's doing something similar as in the photo that jane linked to above- folding the twist over in one direction to make a flap on the larger pleat. but how is she getting the rhombic twists? must be two intersections put back to back. hmm. Actually, it seems to me like you figured it out- your rhombic shapes seem like they could be pressed out and flattened. does one side of it not want to squish all the way down? I'm really enjoying all your models done with the elefanthaut/elephant hide/wyndstone marble paper. After seeing Joel's folds done with it, and seeing yours, I feel like I need to get some myself! These colored sheets of yours really bring out the best details of the tessellations. As always, thank you so much for sharing this with all of us! Posted 24 months ago. ( permalink )
	EricGjerde says: P.S. - your reverse engineering skills are very good! be careful, though, or the thought police will accuse you of reverse engineering all of your designs from somewhere else... Posted 24 months ago. ( permalink )
	Mélisande* says: Thanks for your compliments. This kind of rhombic twist doesn't fold flat, it is a fact. I need to see the reverse side of Fuse's work to understand fully its structure, I'm afraid. Eric, I'm not sure it is based on 135/135/90 as you say, anycase I can't figure it out that way. Thought police ?? Who cares of it here ? 2 days ago I found by chance elephant hide (50 x 70 cm, light brown) in a stationery shop. It was labelled "parchemin", but I recognized it when I touched. I asked the lady in the shop if it was elephant hide and if she had other colors. I have nothing to do with elephants, she said, this paper is for diplomas and only this color is allowed for diplomas... I bought some sheets and on my way home began to think about the few diplomas I have, all printed on stupid plain paper...Maybe I should have them rewritten on parchemin, would be better for my career, who knows ? In case you need diploma of some sort, please ask before I fold all the sheets! Posted 24 months ago. ( permalink )
	EricGjerde says: "I have nothing to do with elephants, she said." That's the funniest origami related line I have heard all year! Posted 24 months ago. ( permalink )

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Taken with a Nikon E5600.
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Taken on May 28, 2006

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3D rhombic twists

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mawelucky says:

LorenzoMarchi says:

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