Romanesco

Lata
jkmrao

I have not eaten it. But this is one of the most interesting vegetables. I can write a book on its looks! This is a "fractal" vegetable, perhaps a great example. It is also an example for logarithmic spiral. Spirals are of two kinds - Archimedes spiral, logarithmic spiral. The former grows uniformly, the latter in a "dynamic" way. You know, the Romanesco, the waves in the ocean, the spiral galaxies, the flowers, the song and poem structures in prosody, the tALa system in music, the cones on the pineapple, and many similar ones are related by a common thread - the hEmachandra-Fibonacci series. What is known as Fibonacci series (1,1,2,3,5,8,13,21,34,59, etc. Each number in the series is the sum of the previous two) in the West was discovered by the great gujarAtI scholar hEmachandra at least fifty years earlier. In his days, hEmachandra was known as sarvaj~na, the all-knowing. He was a Jain scholar, wrote may be more than sixty books. He wrote three literary treatises - the SabdAnuSAsana (the treatise on word), the kAvyAnuSAsana (the treatise on literary work) and ChandOnuSAsana (the treatise on prosody). Even today, a prestigious award is made in his name carrying big money. What has this to do with rangOli? Many of the patterns we draw (like the tendrils and flowers, etc.) are an offshoot of this series. While mostly we have static symmetry in our rangOli, this series is related with growth and so the symmetry here is "dynamic". That much for the little excitement! Regards! - mOhana
Fri, 02/13/2009 - 03:19 Permalink
Lata

In reply to by jkmrao

mOhanaji, I first came to know about its fractal properties through my college professor a few years back. She touched upon it a bit while discussing the Fibanacci series. She didn't mention anything about Hemachandra (I would say the detail was/is vital from what I gather from you). Everything else like the pinecone, the sunflower, the pineapple and the other examples were known/familiar to all of us. But, the romanesco wasn't in season then, and so we couldn't see it, also, it wasn't easily available anywhere in our neighborhood (or maybe we didn't pay attention). None of us in our class had seen it then. I happen to buy this recently from our local farmer's market for the first time, mainly to take a closer look into it, and of course to show it all of my family members. "What IS that"? was what everybody in our house had asked when they first laid their eyes on it. I couldn't bring myself to cut it for cooking purposes, and so it is still there in our fridge, slowly turning brown on the edges. Thank you for the big precious description! I sort off posted this addressing it to our young readers, because I'm sure some or many of our adult members would've/could've seen it, or know about it already :) Asha, I saw it only recently, and have never eaten it before. It is too pretty to consume :)
Fri, 02/13/2009 - 19:27 Permalink
ashanagendra
Lata it looks like tiny green spruce (pine family),its quiet interesting ,this is the first time i am seeing this vegetable.thankyou for sharing.
Fri, 02/13/2009 - 04:57 Permalink
jkmrao

Donald Knuth in his Computing methods book has given credit to hEmachandra for discovering this series. In fact, its relative, the binary numbers, and binomial theorem were known to pingala and halAyudha for more than 1500 years. Manjul Bhargava, a professor at Princeton, once discussed about the musical beats and hEmachandra-Fibonacci series on NPR. All the members may enjoy it if they haven't already heard it. The link is - http://www.npr.org/templates/story/story.php?storyId=4111253 (Bhargava on Number Theory) My interest in this is through prosody (ChandaSSAstra) and music. Musically rAmA and ramaNA have the same number of syllabic instants (four). There are five ways of obtaining four syllabic instants (1111, 211, 121, 112, 22). How one integrates these in poetry and music is also a sort of symmetry in which I am interested. Wherever there is growth like the growth of a flower, or the Sankha we were discussing a few days ago, there is this series and dynamic symmetry. Regards! - mOhana
Fri, 02/13/2009 - 20:06 Permalink