Everything must be made as simple as possible. But not simpler. (Albert Einstein, physicist)

Paul Green, at Stanford, has argued persuasively that the Fibonacci series is just what one would expect as the simplest self-repeating pattern that can be generated by the particular growth processes in the growing tips of the tissues that form sunflowers, pine cones, and so forth. (Stuart A. Kauffman, MD)

The most beautiful thing we can experience is the mysterious. It is the source of all true art and science. (Albert Einstein, physicist)

Without mathematics there is no art. (Luca Pacioli, mathematician and collaborator with Leonardo da Vinci)

Beautiful! I have seen Cristobal Vila’s work on You Tube before – I think he has a wonderful way of making us aware of the sacred – whether it be geometry or light…………..Good choice Frank!

The quotes and video are simply beautiful, so simple and eloquent. We have both applauded the Fibonacci series before–it is still so very amazing! Art, music and math–what a great trio!

Love the Fibonacci Sequence.. And always marvel at the Mathematics within Nature.. Creativity showing us how we are all of us within this frequency.. The Sunflower has long long been my own symbol of Life’s seeds.. and the imagery here shows again how perfect Life is.. 🙂
Wonderful share Frank..

I just meant I found the Kauffman quote difficult to understand at first. It’s not worded well. Or maybe I’m a little dense this morning. Always a possibility…

I agree with you, Carrie. Kauffman says that what we see is what should be expected, given the molecular processes involved in plant growth and other natural forms, whereas Albert terms it “mysterious”. Also, I think Pacioli phrases it wrongly when he says:

Without mathematics there is no art..=

Even without math, the golden ratio, or an approximation of it, would seem more pleasing to the eye than other ratios. Now, is that mysterious? Maybe. Perhaps it’s pleasing because symmetry with nature in general conveys a sense of order and control? Any psychologists want to weigh in on this?

Jim,
We know the golden ratio is mathematical, especially as compared to other ratios. But art, maybe by its very nature, is very mathematical. So I wonder, if this isn’t a “chicken or the egg” discussion. Oh no … we’re getting too philosophical. 😉

John,
An art teacher told me that drawings involve 3 aspects: lines, curves, and proportions … and that I totally understand … thus see it all the time.

For many years I worked on the faculty of an art college and lived with a teacher of mathematics. Fibonacci, the golden section, lines, curves, proportions etc…were constantly our concern, as were the usual questions about beauty, inspiration, creativity…… Leonardo da Vinci was an example of the consummate artist/mathematician…..I think the moments when we are measuring the world and the moments when we are just marveling at its beauty, though those moments may not always coincide, they are all part of the great ever-evolving mental picture.

Cynthia,
Thanks for the well-done analysis … and not too philosophical. 😉 … Another art teacher once told me that nature has the best designs, and artists are simply trying to duplicate them in their own way.

Beautiful video!
Interesting quote by Pacioli. As an artist, I don’t think I’m thinking mathematically at all when I’m creating. Now that I ponder that thought, I realize math comes into the equation somewhere even if it’s as cheeky as how much fabric & paint can I afford on my budget. LOL

Resa,
Glad you like this one. Lines, curves, and proportions are very mathematically … and depending on your artist style, you may have many of those three. 🙂

Wow. Loved this, Frank. It’s an amazing thing, isn’t it? I think I mentioned my interest in this as well as the golden ratio a while ago to you. I’ve had many philosophical discussions on this stuff that can really make your head hurt after a while! Thanks for this beautiful post. 🙂

For someone who has never been much of a math-head, Frank, this was very easy viewing. Are you aware that the neurologist and author, Oliver Sacks, is dying? In theory, the second we’re born we start dying, but he is now terminally ill with cancer. He wrote a lovely Op-Ed piece that appeared in the New York Times. I think you’d like it: http://nyti.ms/1VETZWl

Lame,
The video is a good one, so glad it was able to reach you in an understandable way. … and thanks for the Sacks article. Very interesting … and love the way he used crystals from the Periodic Table.

Some of my favorite things…Nautilus shells, sunflowers, dragon flies–what a fantastic way to admire and think about them. The quotes are really wonderful, too, Frank. I often notice order and synchronicity in nature and art, but I frequently forget that math is involved. The video is a fabulous reminder!

Debra,
The link between math and art is stronger than we realize … probably because it’s so subtle … besides, most of us don’t think beyond the results on the canvas. Glad you enjoyed this.

Math remains a mystery to me, despite I use it daily. Isn’t that the strangest thing? I loved this, every single time I see something like this I am enthralled, I watch more than once just to absorb.

Val,
As you mentioned, math is very much part of our daily lives … and probably even more than we suspect. Nonetheless, the quality of the video and the choice of music does a great job of drawing us into the theme.

This is one of my very favorite videos ever, Frank! I’ve watched it many times over the years when I want to be reminded of the beauty and perfection within nature. Thanks for sharing.

Hola aFrank,
The first time I’ve seen Cristobal Vila. Thank you for the introduction. Great video ..!!!
I loved the sunflower.
My hubby is a numbers aficionado. I’ll have to show him the video.
Gracias,
Isadora 😎

Isadora,
Glad you saw this one because the video is one that I knew you would enjoy. it’s well done and overly fascinating! I’ll be curious to get hubby’s thoughts.

For the first time, I see the beauty of numbers

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Derrick,

Cheers to that, and I imagine you will be noticing this on your next trip through the garden.

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🙂

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Beautiful! I have seen Cristobal Vila’s work on You Tube before – I think he has a wonderful way of making us aware of the sacred – whether it be geometry or light…………..Good choice Frank!

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Pauline,

Cristobal’s work is wonderful … Fibonacci as sacred? .. I say indeed!

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The quotes and video are simply beautiful, so simple and eloquent. We have both applauded the Fibonacci series before–it is still so very amazing! Art, music and math–what a great trio!

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Patti,

Simple and eloquent is an interesting way to describe this intersection of art, music, and math.

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Albert Einstein was referring to the golf swing when he said: “Everything must be made as simple as possible. But not simpler.”

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Tim,

Being that you are the king of more complicated than it needs to be, I doubt it …. but you know that.

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Vive la complexité de golf!

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Love the Fibonacci Sequence.. And always marvel at the Mathematics within Nature.. Creativity showing us how we are all of us within this frequency.. The Sunflower has long long been my own symbol of Life’s seeds.. and the imagery here shows again how perfect Life is.. 🙂

Wonderful share Frank..

Enjoy your weekend.. Sue ❤

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Sue,

Glad this one struck you in a personal way.

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I think the Kauffman quote violates the Einstein quote. I had to read it a few times to make sense of it. 😉

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Carrie,

Interesting … I don’t see it.

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I just meant I found the Kauffman quote difficult to understand at first. It’s not worded well. Or maybe I’m a little dense this morning. Always a possibility…

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I know better about the dense. It is a wordy as he attempting to paraphrase someone else’s words.

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I agree with you, Carrie. Kauffman says that what we see is what should be expected, given the molecular processes involved in plant growth and other natural forms, whereas Albert terms it “mysterious”. Also, I think Pacioli phrases it wrongly when he says:

Even without math, the golden ratio, or an approximation of it, would seem more pleasing to the eye than other ratios. Now, is

thatmysterious? Maybe. Perhaps it’s pleasing because symmetry with nature in general conveys a sense of order and control? Any psychologists want to weigh in on this?LikeLiked by 1 person

Jim,

We know the golden ratio is mathematical, especially as compared to other ratios. But art, maybe by its very nature, is very mathematical. So I wonder, if this isn’t a “chicken or the egg” discussion. Oh no … we’re getting too philosophical. 😉

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I looked at more information about Mr. Vila and his movie. He does superb works.

http://www.etereaestudios.com/docs_html/nbyn_htm/about_index.htm

My Google Chrome translated the Spanish into English.

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Jim,

He does wonderful work … and I’ve used him here before … and I imagine I’ll use him again in the future.

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Very interesting post today. I have to think about the mathematics/art connection. I can certainly see it with da Vinci work.

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John,

An art teacher told me that drawings involve 3 aspects: lines, curves, and proportions … and that I totally understand … thus see it all the time.

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Agreed

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For many years I worked on the faculty of an art college and lived with a teacher of mathematics. Fibonacci, the golden section, lines, curves, proportions etc…were constantly our concern, as were the usual questions about beauty, inspiration, creativity…… Leonardo da Vinci was an example of the consummate artist/mathematician…..I think the moments when we are measuring the world and the moments when we are just marveling at its beauty, though those moments may not always coincide, they are all part of the great ever-evolving mental picture.

LikeLike

Cynthia,

Thanks for the well-done analysis … and not too philosophical. 😉 … Another art teacher once told me that nature has the best designs, and artists are simply trying to duplicate them in their own way.

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An interesting quote by Pacioli. Wonder what artists today would say when reading it.

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Colline,

Interesting question … and I like answers would vary, but that’s just a guess.

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Beautiful video!

Interesting quote by Pacioli. As an artist, I don’t think I’m thinking mathematically at all when I’m creating. Now that I ponder that thought, I realize math comes into the equation somewhere even if it’s as cheeky as how much fabric & paint can I afford on my budget. LOL

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Resa,

Glad you like this one. Lines, curves, and proportions are very mathematically … and depending on your artist style, you may have many of those three. 🙂

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Love it. Like Derrik I see the beauty in numbers. Should have seen this in junior high …

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Elyse,

Even if we would seen it in junior high, would we have seen it?

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Depends on who we were sitting next to in class.

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True … but even then.

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Extraordinary video, thanks.

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Bruce,

Welcome first-time commenter. This is what happens here on many Saturdays – which is different than the other posts.

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Wow. Loved this, Frank. It’s an amazing thing, isn’t it? I think I mentioned my interest in this as well as the golden ratio a while ago to you. I’ve had many philosophical discussions on this stuff that can really make your head hurt after a while! Thanks for this beautiful post. 🙂

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Kelly,

Wonderful indeed and closely related to the Golden Ratio.. Yes … philosophical too, thus its power.

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Love how you said that, Frank! 🙂

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For someone who has never been much of a math-head, Frank, this was very easy viewing. Are you aware that the neurologist and author, Oliver Sacks, is dying? In theory, the second we’re born we start dying, but he is now terminally ill with cancer. He wrote a lovely Op-Ed piece that appeared in the New York Times. I think you’d like it: http://nyti.ms/1VETZWl

LikeLike

Lame,

The video is a good one, so glad it was able to reach you in an understandable way. … and thanks for the Sacks article. Very interesting … and love the way he used crystals from the Periodic Table.

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Some of my favorite things…Nautilus shells, sunflowers, dragon flies–what a fantastic way to admire and think about them. The quotes are really wonderful, too, Frank. I often notice order and synchronicity in nature and art, but I frequently forget that math is involved. The video is a fabulous reminder!

LikeLike

Debra,

The link between math and art is stronger than we realize … probably because it’s so subtle … besides, most of us don’t think beyond the results on the canvas. Glad you enjoyed this.

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So fascinating to see, Frank. Thanks for sharing. 🙂

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I will never understand how theories about how the universe works can be generated from mathematical formulas. My brain does not work that way… 😐

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Lorna,

Ah ha … math is a foreign language to you .. .and that’s OK. … Just so you know, Fibonacci is legit.

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I’m sure it is, but I have to take it on faith…and isn’t that quite ironic? 😉

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Math remains a mystery to me, despite I use it daily. Isn’t that the strangest thing? I loved this, every single time I see something like this I am enthralled, I watch more than once just to absorb.

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Val,

As you mentioned, math is very much part of our daily lives … and probably even more than we suspect. Nonetheless, the quality of the video and the choice of music does a great job of drawing us into the theme.

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This is one of my very favorite videos ever, Frank! I’ve watched it many times over the years when I want to be reminded of the beauty and perfection within nature. Thanks for sharing.

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Cathy,

I can see how your eyes appreciate this video. I’ve used this before, and it is unquestionably good enough to use again.

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Always thought being called simple minded was something of a compliment.

Being simple is so complex – a real mystery

Beautiful post!

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Mouse,

Well said about this … simple, yet complex and mysterious. … Nonetheless, a fab video about a wonderful concept.

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Who knew? We’re all good at numbers one way or another – we just all don’t know it (yet). 😉

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RoSy,

The biological use of the mathematical set is unreal … and it seems math is all around us … whether we like it or not. 🙂

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Hola aFrank,

The first time I’ve seen Cristobal Vila. Thank you for the introduction. Great video ..!!!

I loved the sunflower.

My hubby is a numbers aficionado. I’ll have to show him the video.

Gracias,

Isadora 😎

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Isadora,

Glad you saw this one because the video is one that I knew you would enjoy. it’s well done and overly fascinating! I’ll be curious to get hubby’s thoughts.

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