What do a rose, a sundial and a pine cone have in common?
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In origami, you can form all of them from the same basic design.  Specifically, they are folded from the same fractal design.  A fractal is an object that is made from a self-similar pattern, that is, as you zoom into one part of the object you can see the same pattern repeated there in greater detail.
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Andrea’s rose is an origami “rose” designed by JC Nolan.  Diagrams for it are available in the internet.  This is the rose – you can see the repeating pattern as you “zoom in”:
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Andreaś roseAndrea’s Rose – designed by JC Nolan
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There is a pine cone I folded from a design by Kunihiko Kasahara that can be found in his book “Origami for the Connoisseur” published in 1987.  I have had this pine cone for more than 20 years and it still looks good as you can see from this photo that was taken today.  I thought the design was “cool”.  And as is obvious, the face  of the pine cone is an Andrea’s rose.

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pine cone
 Pine cone – designed by Kunihiko Kasahara
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There was a mention of the sundial by Christine Edison in the Origami list recently, which led me to fold it and write this post.  I tracked the sundial down in the internet and managed to fold it with the aid of the photo diagrams published by Edison.  And, lo and behold, it is based on the same fractal design.  However, in her design Edison has added additional petal folds and turned it into a pretty eight-pointed star.  (Look for the square in the centre, it corresponds to that found in Andrea’s rose)  I had much pleasure folding it.  Here it is:
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sundial
 Sundial by Christine Edison
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In the Origami list posting I referred to above, Meenakshi Mukerjee mentioned her fractal Sakura (here).  She also mentioned the Hydrangea by Shuzo Fujimoto, a wonderful design which you can see from the picture below:
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hydrangea
Hydrangea by Shuzo Fujimoto
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Have fun with fractals and tessellations – there are lots of diagrams available on the internet.
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