## Fold Kamiya's geometric models without knowing wht they are

Friendly design and folding competitions.

### Re: Fold Kamiya's geometric models without knowing wht they

yep, thats the same thing i got. before, i accidently had some extra lines so the tetrahedon lies flat.
to me it is a very weird model, as it doesn't look cleaned up, and there are many places where 2 raw edges meet and kind of leave an opening

tschobigami
Super Member

Posts: 153
Joined: April 20th, 2013, 10:07 pm

### Re: Fold Kamiya's geometric models without knowing wht they

It seems odd that Kamiya would publish a cp for such an incomplete model but apparently he did unless we are all missing something here.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

My guess is that the tetrahedron will fit in the cube.

Giving you something like this internally:

Mainly because I can rotate it on the top diagonal.
My Flickr

FlareglooM

FlareglooM
Senior Member

Posts: 429
Joined: January 30th, 2009, 3:15 pm

### Re: Fold Kamiya's geometric models without knowing wht they

FlareglooM wrote:My guess is that the tetrahedron will fit in the cube

I'm more for your first option, a cube with a tetrahedron atop the diagonal of it's top side, so the length of the diagonal of the side of the cube is the same as the side of the tetrahedron.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

I am convinced of the second option.

First, it is indeed an interesting model, mathematically and geometrically.

Second, when checking the cp again, I realized, that the tetrahedron indeed does consist of equilateral triangles, with their side-length being sqrt(2)*sidelength(cube), which means that the tetrahedron indeed does fit perfectly.

Third, it explains why I said that the design doesn't look clean to me. By having one geometric object inside the other, one has to fold and look inside, so a clean lock doesn't make sense.

To me this one is solved by Flaregloom, even if not folded yet.

tschobigami
Super Member

Posts: 153
Joined: April 20th, 2013, 10:07 pm

### Re: Fold Kamiya's geometric models without knowing wht they

After quite some fiddling around, I managed to collapse the tetrahedron inside the cube. So it is possible. It would however only make sense if you fold the model from translucent paper, otherwise no one will know there is a tetrahedron inside the cube.

Green = Mountain
Pink = Valley

origami_8

Posts: 4153
Joined: November 8th, 2004, 12:02 am
Location: Austria

### Re: Fold Kamiya's geometric models without knowing wht they

origami_8 wrote:After quite some fiddling around, I managed to collapse the tetrahedron inside the cube. So it is possible. It would however only make sense if you fold the model from translucent paper, otherwise no one will know there is a tetrahedron inside the cube.

Wow Anna I knew if someone could pull this one off it would be you. Thanks for the colored cp.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

Some hints about the collapse: Starting of with the upper two horizontal lines in place, bring in the pink 22.5 degree lines in the upper middle two squares. Then you have to make the two points at the bottom of the big triangles concave. Good luck. On the right side this should make the diagonal of the upper middle square align with the line the goes up just right to the centre, so that they can be mountain folded together.
After closing the bottom of the cube and forming the tetrahedron inside it, you can lock the tetrahedron in place by closing the top of the cube.
In theory it sounds a lot easier than it actually is, especially if you try to fold it from transluscent foil that just doesn't want to behave the way you want. No photos, sorry.

origami_8

Posts: 4153
Joined: November 8th, 2004, 12:02 am
Location: Austria

### Re: Fold Kamiya's geometric models without knowing wht they

The first cp folded from ordinary paper looks something like this:

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

I want to thank everybody that participated in this challenge, the cooperation was amazing.

Now the question is, where's the CP for the displaced tetrahedrons at http://www.flickr.com/photos/magik9/9423328167/ ? Karol Kafarski says it's in Satoshi's webpage

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

I think that model is similar enough to these http://www.langorigami.com/composition/ ... 2-opus-702 that a few modifications to the crease patterns would result in what Kamiya had.
Who am I?
https://goo.gl/fTYupv

Gallery of my own designs with some CPs: https://goo.gl/CtdVzv

Another gallery of my efforts at photography: https://goo.gl/dnpg6R
NeverCeaseToCrease
Senior Member

Posts: 280
Joined: April 7th, 2017, 4:54 am
Location: USA

### Re: Fold Kamiya's geometric models without knowing wht they

NeverCeaseToCrease wrote:I think that model is similar enough to these http://www.langorigami.com/composition/ ... 2-opus-702 that a few modifications to the crease patterns would result in what Kamiya had.

Thanks for pointing that out I just folded Lang's model and it's a very good one. However, the differences with Kamiya's (the color change and the flat sides) are large enough as to still want to find Kamiya's CP for the "displaced tetrahedrons" as I've called this model.

Last night I spent a long time scouting Satoshi's webpage searching for this CP without luck.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

I think it's this one:

Based on the content of this post: viewtopic.php?f=12&t=10992#p118046
My Flickr

FlareglooM

FlareglooM
Senior Member

Posts: 429
Joined: January 30th, 2009, 3:15 pm

### Re: Fold Kamiya's geometric models without knowing wht they

Thanks Flaregloom

There is a note that says
"cube cut by diagonal and moved a bit - there is 2nd cp similar to this", so it could be this one or the other one mentioned in that thread.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

### Re: Fold Kamiya's geometric models without knowing wht they

Although not part of the original 3 CP's, there is another CP for a geometric model somewhere else in his page and here it is "Displaced Tetrahedrons" or "Sliced Cube" or whatever it's called. I got the CP from someone who had folded the model. If anyone is interested, PM me your email address that can receive attachments and I'll send it to you. Since it is publicly available (although very difficult to find) I don't think there's a problem with that.

Brimstone
Buddha

Posts: 1617
Joined: November 23rd, 2004, 3:59 am
Location: Colombia, South America

Previous