Circle Packing,Molecules, and box pleating

[jojotoar]

I want to ask about Circle Packing,Molecules, and Box Pleating.
because i don't anderstand..
maybe i understand box pleating, but i don't no which one..
and about Circle Packing and Molecules, i really don't understand..
I have some question about Circle Packing and Molecules:

How does Circle Packing and Molecules work?
How to make a diagram if there is Circle Packing and Molecules?
And is anyone have a picture of Circle Packing and Molecules and Box Pleating works?

Thanks.

P.S.
Sorry if i "write" to much and sorry for my bad grammer and spelling and confusing question.

[Kafar]

Robert Lang - "Origami Design Secrets" there are the answers:D
Link

[Gadi Vishne]

Origami Design Secrets
Google books
Review By Gilad Aharoni

[Jonnycakes]

This video should cover circle packing-it is a design technique using the least amount of paper possible per flap to conceptualize a design. A circle represents a flap with length equal to the radius of the circle. The center of the circle must be on the piece of paper, but the rest of the circle can overlap the edges. Rivers are strips that separate circles from each other-that is, they are spaces with length equal to the width of the river that separate flaps from each other. You can "pack" circles and rivers together in any way on a piece of paper and a base with flaps corresponding to the circles and rivers is guaranteed to be foldable.

That is where molecules come in. Molecules fill in the creases for circle-packed designs. To get the separation of molecules for a circle packing, just draw lines between the centers of adjacent circles. For a bird base, there are five circles: 1 in each corner for the long flaps, and one small one in the middle for the small middle flap. Draw lines from circle to circle and you will have separating lines (called axial creases I believe) going along the diagonals of the square. So now you have four 45-45-90 triangles. To fill in the creases, draw the angle bisectors and the tangents to where two circles touch. And you have a bird base. There are more complex crease patterns that fill in 4-sided and more-sided molecules, making it possible to fold any circle packing.

You can extend circle-packing to using any shape-hexagons, 22.5-degree-based structures, etc. This is called polygon packing. Box-pleating is square packing. If you only use squares, all of the creases can easily be filled in with 45 and 90 degree angle folds. Box-pleating allows you to do things easily that are very hard to do with straight circle-packing.

I hope that my explanations make sense-it is hard to explain without pictures (and Lang does a much better job than me ).

[jojotoar]

Thanks.

[jojotoar]

I think now i'm "more" understand...

[Gadi Vishne]

(and Lang does a much better job than me ).

Well.. He wrote it on a bit more than 500 pages.