Robert Lang is known for the deep mathematical basis underlying their models. A couple of years posted on its site (an incredible site, I must say) a beautiful rose of many petals, along with its pattern of folds or CP, Lang apparently admired the roses made by Kawasaki and others but wanted see more petals a rose and more open (which got no doubt.) Almost immediately opened a thread
http://www.thekhans.me.uk/forum/viewtopic.php?t=1227&postdays=0&postorder=asc&highlight=lang+rose&start=0
British forum where many were dedicated to the idea of \u200b\u200bsolving this pattern and get the beautiful flower. Read the eight pages that has that who Mailing is a fascinating exercise and an amazing experience to see so many people contributing and supporting community behind a common artistic goal. I was so impressed I decided to try it and resolve, for the first time in my life, a PC (although almost all the work was already done lol).
Looking at the CP one would think the choice of horizontal folds proportions is a little complicated, but understanding how the work of Lang gives a realize that behind it is certainly a very deep study of the proportions I wanted the author to the petals, which are reducing in size as we approach the center of the flower. Similarly the vertical folds, separated by 1 / 11 lets you get a pentagonal base, as discussed below. However, getting these lines without using a ruler and a calculator was quite complicated, Daydreamer, in that forum, utlize Reference Finder program (Lang thereof) for a point in the seventh row and a year later, another participant, Silent Winter , gave an incredible way to turn it from the rest of the top line.
While
Daydreamer method is very accurate, I was not sure it was very intuitive, so I projected an angle from the opposite corner at the end of that line and I noticed that this angle was almost exactly 20 degrees, and the distance from lower edge to the line (29/80, 0.3625) is almost the same distance between the left and the fourth vertical (4 / 11, 0.36363), that way it could generate both folds to make the 45 degrees being the left edge of the horizontal line at the end. Getting a 20 degree bend is not easy but in a very interesting site learned a method trisecting any angle and I already knew a method for making a bend at 60 degrees.
The second stage of this exercise was to fold the base, which was more complicated in the end, the best was to go by folding down the reverse bends from left to right, column by column, opening up a little given time, very useful was the fact that in some CPs Lang marked only the thicker lines are the ones that are ultimately folded into the final figure and correspond to the yellow and black valleys to mountains:) (I like it Thus, an author who not to keep secrets) and things, the base was taking shape. Note that by collapsing the base one and get some concavity on your product of careful selection of the proportions in the design of the figure.
And finally came the most difficult, trying to shape the petals are pointed to the base. First turn the different levels, through the flaps that arise between them, to distribute the petals at different angles, like a solar array, I realized that it was best to go from the bottom up, ie from the greatest levels even the youngest children to be the center of the flower. After the petals bend down, lift a little of their base; to finally lift and tube bending small central petals. I've done it many times and it's really difficult to reach a result that leaves me happy, is a very delicate set of skills requires a lot of the beam. It is also clear that a better result is achieved with paper-thin and thin and probably doubling wet with methyl cellulose.
So I gathered all the information I could, plus some photos and put it in a small paper, I offer here for those who want to share with me this experience of solving a CP fascinating. I greatly appreciate the Lord Robert Lang for allowing me to show it, even though my flowers still go very trout: (I can only say that he is a big one. The diagrams of some of it already exist and were published in the book of the 12 th Convention JOAS and The last book of Origami USA Convention, I hope to get soon to follow the master.
Many greetings to all.
Zip
pdf file: rosalang2.pdf.zip
