Fibonacci, Music and Skating

[janetfan]

Does the Fibonacci sequence occur in, or apply to figure skating? It seems to be relevant to many things in our universe. They appear in our genetic code, and in plant and animal life. Western music is based on them (a natural occurance heard simpy by plucking a guitar string) first applied by JS Bach and playfully used by Mozart in some of his compositions. Bartok also used them.
Just wondering if much about skating - jumps in particular - can be measured or if the mass/force ratio needed in jumps have any relationship to this sequence.
Maybe Doctor Mishin is aware of them If jumps are a natural act then the sequence might occur - if they are an unatural act in a physical sense then the sequence probaly would not apply. It could also explain why it is so hard for skaters to master triple jumps. Or maybe neither applies.

Poems have been written using this sequence, they even play a part in "The Da Vinci Code" "Angels and Demons" and other contemporary novels.

In music the 1,3,5 notes/tones are the key notes within a scale. A complete major scale consists of 8 notes and an octave consists of 13 half steps/tones. All Fibonacci numbers. Violins are designed on the Fibonacci numbers.

Please feel free to answer or ignore this message but as silly as it sounds any insights would be appreciated.

[cleopatra20042004]

What exactly is a Fibonacci sequence?

[seniorita]

Or even Golden skate forum is following fibonacci sequence à la golden ratio

Fibonacci's golden analogy is said to be discovered long before Fibonacci himself, by ancient greeks and the Parthenon actually fits in the golden rectangle

[janetfan]

Or even Golden skate forum is following fibonacci sequence à la golden ratio

Fibonacci's golden analogy is said to be invented long before Fibonacci himself, by ancient greeks and the Parthenon actually fits in the golden rectangle

Muchas gracias seniorta, si, si es verdad.
Yes, the Golden ratio and the number phi are related.
I just saw a documentary about the building and design techniques of the Parthenon and it was amazing. I believe the Pyramids of Egypt are also based on the Golden ratio.
I also wonder if Mishin has taught this to Plushy. How else can one explain those magical quad jumps

[seniorita]

Fibonacci sequence is based on the rule that each number is created by the sum of previous too. Nature follows it in many examples as janet said, from plants and animals to our own finger parts and it maximizes the growing of things in a certain space without losing their shape. (This is not official regulation it is my mind's one)
Golden analogy symbolized with the greek letter φ is the 1.61 analogy of the one number and the previous one in Fibonacci sequence (5/3, 8/5 etc) and is met even on your face analogy.
Ok mathman can sayall this better, seriously and official
I cannot think about jumps anything right now but i can think of the golden alalogy being applied to a perfect spiral.

off topic I know why it must be confusing but I m not spanish seniorita is a song i liked a lot by James english band and was listening to it when i signed up
I m greek

[janetfan]

Fibonacci sequence is based on the rule that each number is created by the sum of previous too. Nature follows it in many examples as janet said, from plants and animals to our own finger parts and it maximizes the growing of things in a certain space without losing their shape. (This is not official regulation it is my mind's one)
Golden analogy is the 1.61 analogy of the one number and the previous one in Fibonacci sequence and is met even on your face analogy.
I cannot think about jumps anything right now but i can think of the golden alalogy being applied to a perfect spiral.


off topic I know why it must be confusing but I m not spanish seniorita is a song i liked a lot by James english band and was listening to it when i signed up
I m greek

I thought you might be from Siberia - are you really Greek? I wanted to ask you someday if you have ever been to Lake Baikul - my dream destination !
I thought about changing my name here - I am a guy and a fan of Janet Lynn = "janetfan."
Back to the topic - you mentioned the the facial proportion - but this is not always true. Just look at Plushy's nose and we see the Golden proportion is not working there :laugh :
Back to real topic - How might a spiral be an example of Golden Ratio/Fibonacci Sequence? And there are many different spirals. Sasha and Caroline's seem "more perfect" than most other skaters.

[janetfan]

Mathman can explain them better but basically it is a sequence of numbers that are found everywhere and in mnay things.

1+1 = 2, 2+1 = 3, 3+2 = 5, 5+3 + 8, 8+5 =13, 13+8 = 21 and on into infinity.

Believe it or not, this sequence appears in all life, even in genetic coding of plants, animals and humans. It also applies to non-organic things like the vibrating of a guitar string.

If you are interested - do a quick search - there are hundreds of webpages on the Fibonaci numbers.
I am not a mathematician but have a layman's interest in math. As a musician the sequence is very interesting to me, but if serious math "geeks" were discussing them it would be like Greek to me.

[fliptart]

Does the Fibonacci sequence occur in, or apply to figure skating?

Hmmm, good question. Thanks for giving me an idea for my thesis!