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Purranque My workshop: The Kawasaki Rose

A figure in classic origami rose is Toshikazu Kawasaki created from its fold spiral. Its delicate petals curved its amazing realistically have become one of the most popular models and disseminated within the origami (and beyond).

The history of this rose is easy to build the story of its author. There is very little information about this Japanese mathematician who taught NA Technical School of and Sasebo became the first "Origami Doctor" of history. also is recognized for his studies Theoretical about relationship between origami and Mathematics , developing, among others, the theory of iso - areas. some time ago (1998) published the book Roses, Origami & Math (which should come in on my way home now:)).

This book is an entire chapter dedicated to the rose and its variations, making it the first version "author" of the diagram of this figure. In 1994, during the Convention New York , Kawasaki teaching not the U.S. Joseph Wu to fold the rose, and this, in turn, turned and gave a copy to his friend Winson Chan who after a splitting process generated a bending sequence and a diagram, which was made public and spread around the world through network and was popularly known as the " New Rose" . Later Kunihiko Kasahara published in his book "Origami for the Connoisseur " a diagram, a little less elaborate than the model Chan, for what he called the" Rose Kawasaki Original ". Some other changes have been made on both diagrams, either to get a more petals or different endings, but the heart of this figure, the spiral fold, remains unchanged as shown in the genius of its author.

diagram Chan is still my favorite, but anything by the end result and I guess also for sentimental reasons (it was one of the first memorized and gave figures). However, I have to admit that its initial requirement pre-bend a squared grid inclined at 22.5 degrees (and the subsequent reference to it to get some kinks) they take the elegance. I here a video of how close the figure after having created the grid.





And it is precisely the study of New Rose which allows a origamist learn a lot about relationship between geometry and origami . Build this rose is like going creating, step step, the CP of the figure, to close after a couple of moves to master. The point I would like note is that anyone who folded a few times this figure may realize that there is no need to predefine the grid to get the major kinks of it (step 12 Chan diagram). The geometry perfect author provides numerous references to get each from two simple lines to 22.5 degrees. This is especially useful when using thick paper and textured to bend the rose, because of method for Chan generate the grid loses accuracy on the external lines.

With this in mind, and studying a bit I managed to develop a diagram to get the whole picture from a couple of lines of reference, including the staff side petals steps 9 to 11 Chan diagram.

For example, to create the folds of step 12 Chan , you need only line shaft and a point of reference, aligning the line on itself by doubling and scoring the fold over the reference point as I show the following:

and when I remember my old professor of mathematics in school reciting from memory: "There is one and only one line perpendicular to another and passing through a given point." That is, a theorem for origami : "To bend a line perpendicular to another only takes the same line and a point" .

Also there are other references to follow in the same fold, such as those in the same picture frame.

same happens with the other lines.

My hope was to get the rose with the fewest bends as possible, so that petals not stay with many lines that were marked and a little more "clean", but in the end only managed to avoid a few. also the method itself is as complicated as Chan (or perhaps more) , staying only satisfaction of having learned a lot and have grown in my relationship with paper, that final fully justify this exercise and so I share it with anyone to try it. This is the link to the page Google Base Document and this is the direct link to document (Is a pdf file compressed into a zip , weighs about 1 Mega):

newrose2.pdf.zip

many greetings and good luck to whoever tries.