Page 1 of 1

Orbs diagrams...

Posted: September 8th, 2005, 12:55 pm
by bee19
Does anyone have any orbs diagrams?

Posted: September 9th, 2005, 4:49 pm
by pyros
i only could find one but it has no diagrams sry.

Re: Orbs diagrams...

Posted: September 10th, 2005, 4:16 am
by malachi
bee19 wrote:Does anyone have any orbs diagrams?
Can you be more specific either by linking to a picture or describing what you mean?

Posted: September 11th, 2005, 4:41 pm
by T
What are orb diagrams?

Re: Orbs diagrams...

Posted: September 11th, 2005, 5:01 pm
by TheRealChris
bee19 wrote:Does anyone have any orbs diagrams?
as long as you mean orb in the meaning of "balls", you could also look out for kusudamas. they are also some kind of orbs, aren't they? there are surely a couple of nice pages out there in the matrix (like http://www.kusudama.origami.nom.br/loja.asp)


Christian

Posted: September 11th, 2005, 9:16 pm
by bee19

Posted: September 11th, 2005, 9:45 pm
by malachi
They are mainly made my taking a square or rectangle and inscribing (scoring) circles into the edges. I believe you might be able to find some information in the origami-l archives. I did some google searching and found some information for you.

Picture of a large orb. Note the card in front that shows the crease pattern.
http://bgp.nu/~mak/origami/2003_OUSA/mo ... mage4.html

Here are two of Mosely's patents on this type of model. It does provide enough information to at least get started, I think.
http://l2.espacenet.com/espacenet/viewe ... =en&DB=EPD
http://l2.espacenet.com/espacenet/viewe ... =en&DB=EPD

Here are two additional models in a picture.
http://tiger.towson.edu/~jmaple1/Origami/math_2.htm

Here is a picture of a different orb model.
http://www.papercrane.org/?a=16


A year and a half ago, I did some experiments trying to reverse engineer the Kwan's business card orb based on the picture. I was able to figure out that the center of the circle should be at the point that would be one vertex of an equalateral triangle that would be made by folding the card to touch the two opposite corners together and then folding the other corners to the center. I know that probably isn't very helpful because I haven't tried to simplify the description. I find it to be annoying to try to get the circles scored well enough to make the model consistantly. I have considered making a sturdy template, but I'm too lazy for that right now. It's also good to avoid making the circles so large that they actually touch the sides. Having a gap helps them stay together much better than not having one.
http://www.origami-usa.org/spx-a30309.html


I hope that helps.

Posted: September 11th, 2005, 9:54 pm
by T
So how many sheets are they from (assuming they are no from a single sheet)?

Posted: September 11th, 2005, 10:50 pm
by bee19
I found 6, 12 and 30 sheets orbs :)

Posted: October 19th, 2005, 5:30 am
by metranisome
Did you find diagrams on how to make them, or did you just find a 6, 12 and 30 piece unit?

Bowl

Posted: June 10th, 2006, 5:02 am
by Calfaile
Hi!

Does anyone know how to assemble the bowl shown in http://tiger.towson.edu/~jmaple1/Origami/math_2.htm ? The crease pattern is shown (four squares if I'm not mistaken, but how to get them into lose lovely bowls is beyond me. . . .

Thanks,

Calfaile

Posted: June 13th, 2006, 8:39 pm
by origami_8
I have to be blind, but I neither see a bowl nor a creasepattern on this site :-s

oops!

Posted: June 14th, 2006, 1:04 am
by Calfaile
Sorry, wrong link.

http://bgp.nu/~mak/origami/2003_OUSA/mo ... osely.html

This also has the *amazing* bud model. I just finished folding it

I'll also post to the Olist

-Cal

But back to the orbs. . .

Posted: June 14th, 2006, 2:16 am
by Calfaile
I just spent the last few days building these things. . .

As said in http://origami.kvi.nl/cgi-bin/oigquery. ... t&msgnr=61
The 6-orb is straightforward.

The dimensions of the 12 and 30 orbs are as follows (as a ratio of the width of the card):

12 orb:
W = 1
L (Length of the rectangle) = sqrt(2) = 1.41
X (side of the rhombus) = 3/ (2*sqrt(2)) =1.06
r1 (radius 1) = 3 / (4 + 2*sqrt(2)) = 0.44
r2 = 3/ (2*sqrt(2) +2) = 0.62

30 orb
W =1
L=phi = 1.62
x = (1+phi^2)/2phi = 1.12
r1 = (1 + phi^2)/(2 phi(phi + 1)) = 0.43
r2 = (1 + phi^2)/(2 (phi+1) = 0.69

obviously x = r1+r2

The rhombus should be centred in the middle of the card.