Learned Something Again.

[jnicholes]

Hello everyone! Merry Christmas!

 

I learned something interesting from my own observations of an Ammonite fossil I recently got.

 

It involves mathematics, mainly the Golden Ratio.

 

For those that dont know, the Golden Ratio is a constant. Difficult to describe in words. Maybe someone else will say what it is for me. It is equal to approximately 1.618.

 

Anyway, here is a picture of the Ammonite I found with lines over it. As you can see, the lines, (which go with the length of the Ammonite Spiral,) follow the golden ratio. 1.29 is 1.618 times smaller than 2.1.

 

2.1 is 1.618 times smaller than 3.39.

 

Finally, 3.39 is 1.618 times smaller than 5.5, the length of the Ammonite.

 

You will also notice that the first and second, 1.29 and 2.1, equal the third, 3.39. The second and third, 2.1 and 3.39, equal the 4th, 5.5.

 

If the Ammonite spiral went on into infinity, it would ALWAYS follow this ratio, the Golden Ratio.

 

This is very interesting.

 

Well, thats it. Thats what I learned today. I hope you enjoy it.

 

Jared

[jnicholes]

I forgot to add, I measured the Ammonite also to see if I was correct.

 

Needless to say, I WAS correct.

[grandpa]

On the subject check out these sites:

https://www.goldennumber.net/nautilus-spiral-golden-ratio/  Is the Nautilus shell spiral a golden spiral?

 

https://evolutionnews.org/2014/12/do_we_live_in_a/  Do We Live in a "Golden Ratio" Universe?

 

https://15burbrinkb.wixsite.com/patterns-in-nature/faq#! The Math Behind the Golden Ratio

The Math Behind the Golden Spiral

The Math Behind the Golden Spiral

 

The Math Behind the Golden Spiral

Isn't Ammo-math fun? 

[jnicholes]

1 minute ago, grandpa said:

On the subject check out these sites:

https://www.goldennumber.net/nautilus-spiral-golden-ratio/  Is the Nautilus shell spiral a golden spiral?

 

https://evolutionnews.org/2014/12/do_we_live_in_a/  Do We Live in a "Golden Ratio" Universe?

 

https://15burbrinkb.wixsite.com/patterns-in-nature/faq#! The Math Behind the Golden Ratio

The Math Behind the Golden Spiral

The Math Behind the Golden Spiral

 

The Math Behind the Golden Spiral

Isn't Ammo-math fun? 

Ammo math is VERY fun to me!

[caldigger]

[Ludwigia]

Very interesting observation. Never thought of that before, but it doesn't surprise me since this ratio can be found everywhere in the natural world.

[erose]

I worked for a number of years at a place here in Central Texas called Westcave Preserve. Among the cool special features of the visitor center was a spiral depiction of the Golden Ratio set in the terrazzo floor. At the start of the spiral was a Texas ammonite set into a pocket in the floor. We described feature as "Nature's Numbers."  

 

The Greeks understood this ratio and knew that if you built things to that ratio it would be inherently pleasing to the eye. As a designer and cabinet maker I would often tweak the proportions of an object to hit that 1.618 ratio and waala! It looked good.

 

FYI, Fibonacci numbers also express the same ratio. 1,2,3,5,8,13,21,34, etc.

[Mark Kmiecik]

Some examples.

[caterpillar]

On 26/12/2019 at 2:16 AM, jnicholes said:

Hello everyone! Merry Christmas!

 

I learned something interesting from my own observations of an Ammonite fossil I recently got.

 

It involves mathematics, mainly the Golden Ratio.

 

For those that dont know, the Golden Ratio is a constant. Difficult to describe in words. Maybe someone else will say what it is for me. It is equal to approximately 1.618.

 

Anyway, here is a picture of the Ammonite I found with lines over it. As you can see, the lines, (which go with the length of the Ammonite Spiral,) follow the golden ratio. 1.29 is 1.618 times smaller than 2.1.

 

2.1 is 1.618 times smaller than 3.39.

 

Finally, 3.39 is 1.618 times smaller than 5.5, the length of the Ammonite.

 

You will also notice that the first and second, 1.29 and 2.1, equal the third, 3.39. The second and third, 2.1 and 3.39, equal the 4th, 5.5.

 

If the Ammonite spiral went on into infinity, it would ALWAYS follow this ratio, the Golden Ratio.

 

This is very interesting.

 

Well, thats it. Thats what I learned today. I hope you enjoy it.

 

Jared

 

Don't forget that you are measuring an ammonite essentially made by human hands

[jnicholes]

3 hours ago, caterpillar said:

 

Don't forget that you are measuring an ammonite essentially made by human hands

I have not forgotten. Partially carved or not, I still feel I learned something.

 

You just gave me an idea.

 

I would like to invite somebody to use one of their ammonites, and measure the way I did. Lets see if the golden ratio occurs in another ammonite that is not partially carved.

 

Jared

[jnicholes]

More of my fossils that follow the Golden Ratio. I looked at them with a theory I would find it in my Knightia eocaena, Diplomystus dentatus, and Phareodus testis.

 

Sure enough, I did find it.