the green hills....

No...I´m sorry, these are not the the green hills of tyrol..but I love to hear these bagpipes ;)

That´s what Keith found about this wonderful fibonacci broccoli!!!
www.ilseanderson.com/2017/06/beautiful-vegetable-fibonacci-broccoli-also-mathematical
"The Romanesco Broccoli is nothing short of a mathematical marvel, reminiscent of the Fibonacci series – a sequence of consecutive numbers that add up to the next number. Like: 0, 1, 1, 2, 3, 5, 8, 13, and so on. So how can a broccoli imitate a series of numbers? Simple. On closer inspection, the Romanesco is revealed to have a spiral starting from the center point. All the smaller florets are arranged around this spiral. In essence, this is the Fibonacci spiral – a series of arcs with radii that follow the Fibonacci sequence. If you count the number of spirals in each direction, they will always be consecutive Fibonacci numbers. A math lesson on a vegetable – isn’t that amazing?"

Thanks so much Keith ;)

Roger Bennion, Diane Putnam, Der SIGGY, Heidiho and 49 other people have particularly liked this photo

83 comments - The latest ones

Ko Hummel ^club

Fotogen sind die. ich habe einen Planeten

The outside: A fractal surface (view on black)

5 years ago.

Tanja - Loughcrew ^club has replied to Ko Hummel ^club

Ein Romanestoroid ;))) Deine Ideen...genial, Ko!

5 years ago.

Pano ☼ Rapi ♫✯♫ ^club

Voll berechtigt, die Absicht :-))

5 years ago.

Tanja - Loughcrew ^club has replied to Pano ☼ Rapi ♫✯♫ ^club

Naja...ne grüne Portion Egoismus eben ;)

5 years ago.

Pano ☼ Rapi ♫✯♫ ^club has replied to Tanja - Loughcrew ^club

Und schon wieder was Neues:-.)

5 years ago.

Jaap van 't Veen ^club

Green as green can be !!
beautiful - and razor sharp - details.

5 years ago.

Tanja - Loughcrew ^club has replied to Jaap van 't Veen ^club

Danke sehr Jaap....erst fotografieren, dann essen...und gut is ;)

5 years ago.

Leon_Vienna ^club

Mandelbrot? (Hab' ich vom BK) ;-)
Schön & gut.

5 years ago.

Tanja - Loughcrew ^club has replied to Leon_Vienna ^club

Ähhhhhmmmmm.....ich hänge, und das nicht oft ;)
Hast Du ein Carepaket von Bk bekommen...mit Brot statt Bier? Unglaublich ;))))

5 years ago.

Mecklenburg-Foto ^club has replied to Tanja - Loughcrew ^club

de.wikipedia.org/wiki/Mandelbrot-Menge

5 years ago.

Tanja - Loughcrew ^club has replied to Mecklenburg-Foto ^club

Ja seid´s denn wahnsinnig? ;))))))

5 years ago.

Leon_Vienna ^club has replied to Tanja - Loughcrew ^club

Was meinst denn, warum wir uns hier herum treiben - und auch noch Geld dafür bezahlen! ;-))

5 years ago.

Karl Hartwig Schütz ^club has replied to Leon_Vienna ^club

MANDELBROD!

5 years ago.

Leon_Vienna ^club has replied to Karl Hartwig Schütz ^club

Der BK hat's mir so gesteckt - sag's dem. ;-)

5 years ago.

Kalli ^club

Romanesco. Schmeckt auch lecker. ☺

5 years ago.

Tanja - Loughcrew ^club has replied to Kalli ^club

Stimmt Kalli...sieht nicht nur gut aus ;)

5 years ago.

Karl Hartwig Schütz ^club

Fibonacci lässt grüßen!

5 years ago.

Tanja - Loughcrew ^club has replied to Karl Hartwig Schütz ^club

Oh ja....man kann ihn sogar hören, Karl ;))))))

5 years ago.

Pano ☼ Rapi ♫✯♫ ^club has replied to Tanja - Loughcrew ^club

Muss man das jetzt auch wissen? :-))

5 years ago.

Tanja - Loughcrew ^club has replied to Pano ☼ Rapi ♫✯♫ ^club

Ich wollte doch nur...also eigentlich wollte ich...ach Mann ;)

5 years ago.

Karl Hartwig Schütz ^club has replied to Pano ☼ Rapi ♫✯♫ ^club

Oh, Mist, ich habe den Untertext nicht gelesen:(((((

5 years ago.

Tanja - Loughcrew ^club has replied to Karl Hartwig Schütz ^club

Der ist auch grad erst hinzugefügt worden...alles gut Karlchen:)

5 years ago.

Mecklenburg-Foto ^club

Fraktale, die nicht nur fotogen sind, sondern auch schmecken. So kann man höhere Mathematik ertragen! :-)

5 years ago.

Tanja - Loughcrew ^club has replied to Mecklenburg-Foto ^club

Ok...das beruhigt mich jetzt wieder...Danke Reinhard ;)

5 years ago.

Rosalyn Hilborne ^club

A super shot Tanja. I have never bought a cauliflower (?) like this....do they taste any different to the usual ones? My brother was married in Dundee, Scotland, and his wife was led to the alter by a piper. It was great! I am a fan of bagpipes.

5 years ago.

Tanja - Loughcrew ^club has replied to Rosalyn Hilborne ^club

This is a *Romanesco*...so called in Germany...it´s a mixture of cauliflower and broccoli...and it tastes wonderful!!!
Ohhh...what did the Piper play? Amazing grace?....I´m a big fan, too....
Thank you so much Rosa ;)

5 years ago.

Rosalyn Hilborne ^club has replied to Tanja - Loughcrew ^club

I shall try one then Tanja!
I don't remember what the piper played. I will have to look out the video...it was in 1998 :)

5 years ago.

Boarischa Krautmo ^club

land of confusion ;-))))))))))

5 years ago.

Tanja - Loughcrew ^club has replied to Boarischa Krautmo ^club

Das nenn ich interaktiven Titelklau :))))))

5 years ago.

LotharW ^club

Schön. Und dann noch aus der Luft aufgenommen.***

5 years ago.

Tanja - Loughcrew ^club has replied to LotharW ^club

Ich bin ja schwindelfrei Lothar ;) Danke schööööön!

5 years ago.

cammino ^club

Klasse Idee, prima gemacht!

5 years ago.

Tanja - Loughcrew ^club has replied to cammino ^club

Lieben Dank Reinhold ;)

5 years ago.

Fred Fouarge ^club

schön

5 years ago.

Tanja - Loughcrew ^club has replied to Fred Fouarge ^club

Das ist auch schön, Fred ;)

5 years ago.

Gudrun ^club

So grün muss einfach gesund sein, vor allem mit einer Prise Fibonacci;-) Echt super, die green hills! In den tiefen Tälern wird der Dudelsack aber sehr hallen...;-)

5 years ago.

Tanja - Loughcrew ^club has replied to Gudrun ^club

;)))))))....die Töne sind garantiert Gudrun!
Das Grün ist schon toll...und wenn man ihn nach dem Garen ordentlich abschreckt, dann behält er das auch..und er schmeckt besser als Leonardo da Pisa ahnte....
Danke schön ;)

5 years ago.

Roger (Grisly) ^club

Beautifully sharp and very green Tanja, bagpipes are lovely but not early morning.

5 years ago.

Tanja - Loughcrew ^club has replied to Roger (Grisly) ^club

Hahhh...Roger ;)))))....who wakes you up with bagpipes..and what song did he play???? ;)
Thanks for making me laugh ;)

5 years ago.

Wierd Folkersma ^club

beautiful

5 years ago.

Tanja - Loughcrew ^club has replied to Wierd Folkersma ^club

Thanks Wierd ;)

5 years ago.

ColRam ^club

Spécial !!

5 years ago.

Tanja - Loughcrew ^club has replied to ColRam ^club

...und köstlich ;)

5 years ago.

Jean

Terrific macro. The detail is exceptional.

5 years ago.

Tanja - Loughcrew ^club has replied to Jean

There are things that are too beautiful to eat ;)....but I did it though ;)
Thanks again Jean!

5 years ago.

tiabunna ^club

A great macro, Tanja. If this is cauliflower, it's quite different from those here.

5 years ago.

Tanja - Loughcrew ^club has replied to tiabunna ^club

Thanks dear George.....this is Romanesco (so called in Germany)...something between broccoli and cauliflower...tastes so much better and looks beautiful ;)

5 years ago.

trester88 ^club

Ich staune immer wieder über diese spiralenförmige Anordnung.

5 years ago.

Tanja - Loughcrew ^club has replied to trester88 ^club

Das kenne ich so nur noch von Sonnenblumen..die spiralförmige Anordnung der Kerne in der Blüte Wilhelm!

5 years ago.

Keith Burton ^club

Fibonacci Broccoli..!! There's an interesting article about it here: www.ilseanderson.com/2017/06/beautiful-vegetable-fibonacci-broccoli-also-mathematical

This is a magnificent macro shot Tanja.............the colour is really stunning and the fractal patterns are amazing. An instant fave..!!

5 years ago.

Tanja - Loughcrew ^club has replied to Keith Burton ^club

Many thanks Keith...that´s a wonderful article indeed!!!
I put it in the descripiton....that´s what I like here on IP...we help each other learning
every day ;)

5 years ago.

Keith Burton ^club has replied to Tanja - Loughcrew ^club

You're welcome. Every day is a school day on IP..!!

5 years ago.

Berny ^club

so was von giftgrün, sehr schönes Junggemüse!
Und die Geometrie ist der Wahnsinn!

5 years ago. Edited 5 years ago.

Tanja - Loughcrew ^club has replied to Berny ^club

Na es ist schon der Farbenknaller...wollte mir heute wieder einen kaufen...gab´s nicht ;(
Danke schön Berny....Sabu is doch voll in Love oder? ;)

5 years ago.

Janet Brien ^club

An incredible macro!!! Love the green details everywhere. MANJA!

Congratulations on Explore!

5 years ago.

Tanja - Loughcrew ^club has replied to Janet Brien ^club

Thanks dear Janet....this is my new favourite Vegetable now ;))))

5 years ago.

Ruesterstaude ^club

Bei diesen Fichten darfst du Borkenkäfer sein, Tanja. Ich wünsch dir guten Apetit!

5 years ago.

Tanja - Loughcrew ^club has replied to Ruesterstaude ^club

;)))))....na das sind ja schöne Aussichten Volker! Danke für´s Schmunzeln ;)

5 years ago.

Gabi Lombardo ^club

hat er auch geschmeckt)) schönes Makro!

5 years ago.

Tanja - Loughcrew ^club has replied to Gabi Lombardo ^club

Ohhh ja, hat er Gabi.....Danke schön!

5 years ago.

Esther ^club

Such a cheerful green. Congratulations on Explore.

5 years ago.

Tanja - Loughcrew ^club has replied to Esther ^club

Many thanks dear Esther...nice to have you here ;)

5 years ago.

Annemarie ^club

How so beautiful:)

5 years ago.

Karl Hartwig Schütz ^club

Hab vergessen den Untertext zu lesen:(

5 years ago.

Valfal

Wow, this is a stunning capture, Tanja!

5 years ago.

Karen's Place ^club

I thought it was something from a coral reef. How beautiful this is and fascinating too. Thanks, Tanja.

I really enjoyed the bagpipe piece too. They can sure sound amazing can't they?

5 years ago.

FarbFormFreude ^club

beim Pysikstudium habe ich mich lange gewundert, warum die Sprache der Mathematik so gut geeignet ist, um Naturphänomene präzise zu beschreiben. Jetzt verstehe ich das ! Wenn sogar der Broccoli sich dran hält ...

5 years ago.

christel.k ^club

das macht Appetit, fast zu schade, dieses Kunstwerk aufzuessen, allerdings habe ich den Fibonacci-Brokkoli farblich nicht so gesättigt in Erinnerung ;-);
Klasse Makro-Aufnahme, Tanja!

5 years ago.

John Sheldon ^club

We used to eat these a lot when we lived in Herefordshire in the UK. In the last 3.5 years we have only found them once where we live now. Pity ...

5 years ago.

aNNa schramm ^club

Ufff ... jetzt bin ich durch mit all den Texten ... und und und ...
mir reicht es !!
Ich möchte den doch eigentlich nur essen !!!
...und sag mal wo hast du denn nur die Pipers aufgegabelt ???

5 years ago. Edited 5 years ago.

Percy Schramm ^club

Diese grünen Hügel sehen wirklich sehr schmackhaft aus.

5 years ago.

Hubs 56 ^club

eine interessante "bewaldete" Hügellandschaft Danja
servus, Hubs

5 years ago.

J. Gafarot ^club

Yes, they are magic even when you do prefer the simple,single,sweet broccoli…
Great image dear Tanja.

5 years ago.

Zulma

the land of "make believe" love those hills Tanja, and I bet they are delish!!! Have a great WE my friend.

5 years ago.

Rafael ^club

Justo en eso se fundamentan los "fractales" La serie Fibonacci y la sección áurea o número de oro son dos ejemplos de cómo la matemática está en el mundo orgánico !

5 years ago.

Tanja - Loughcrew ^club

Many thanks to all of you.....Danke schön für all Euere leckeren Kommentare :)))))

5 years ago.

Angelofruhr ^club

Ist schon wieder Weihnachten??? ;))

5 years ago.

Tanja - Loughcrew ^club has replied to Angelofruhr ^club

Höööör mir auf....gleich kommt Ostern ;)))

5 years ago.

Ulrich John ^club

Fraktale ! Ein schönes Bild mit viel Mathematik ! So kommen Natur und Wissenschaft zusammen.

5 years ago.

Heidiho ^club

Fibonacci-Frequenz ! Was es alles gibt - wieder was gelernt ! Danke !

5 years ago.

Diane Putnam ^club

I have never seen this kind of broccoli, but I new only a little bit about its mathematical importance. (I could never repeat the facts, though!) Gorgeous macro, Tanja!

5 years ago.

Roger Bennion ^club

Stunning colour! A superb photo. Even more impressive on black. A good choice of music too, Tanja.

Thank you for posting to Sight and Sound : Pictures & Music

5 years ago.

Christa1004 ^club

Sieht schon toll aus, dieser Kohl, auf dem ersten Blick (mit seinen türmchenförmigen Röschen) als käme er von einem anderen Stern ;-)
Übrigens, nicht nur in den Spiralen des Romanescos, sondern auch in den Samenbeständen der Sonnenblume erkennt man die Fibonacci-Folge.

4 years ago.

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