• Φ
  • About
  • Contributors
  • Resources
  • Contact
  • Store
  • Site Map

The Golden Ratio: Phi, 1.618

Golden Ratio, Phi, 1.618, and Fibonacci in Math, Nature, Art, Design, Beauty and the Face. One source with over 100 articles and latest findings.

The Golden Ratio - The Divine Beauty of Mathematics PhiMatrix Golden Ratio Design and Analysis Software Elliott Wave Investing Principles Ka Gold Sacred Geometry Jewelry Phee Phi Pho Phum Coffee Mug Golden Ratio Phi Collage T Shirt
  • Phi
  • Design/Art
  • Beauty/Face
  • Life
  • Math
  • Geometry
  • Markets/Gaming
  • Cosmos
  • Theology
  • Pi
  • Blog
You are here: Home / Life / The Golden Section in Nature: Animals

The Golden Section in Nature: Animals

May 13, 2012 by Gary Meisner 33 Comments

There are many examples of the Golden Section or Divine Proportion in nature.

Below are just a few:

The eye, fins and tail all fall at golden sections of the length of a dolphin’s body. The dimensions of the dorsal fin are golden sections (yellow and green). The thickness of the dolphin’s tail section corresponds to same golden section of the line from head to tail.

Phi, golden ratio or Divine proportions in a Dolphin

The eye-like markings of this moth fall at golden sections of the lines that mark its width and length.   

Phi, golden ratio or Divine proportions in a Moth

The spiral growth of sea shells provide a simple, but beautiful, example.

Phi, golden ratio or Divine proportions in a Sea Shell

Every key body feature of the angel fish falls at golden sections of its width and length. The nose, tail section, and centers of the fins of the angel fish fall at first (blue) golden sections. The second golden section (yellow) defines the indents on the dorsal and tail finds as well as the top of the body. The green section defines the marking around the eye and the magenta section defines the eye.

angelfsh

The eyes, beak, wing and key body markings of the penguin all fall at golden sections of its height.

Phi, golden ratio or Divine droportions in a Penguin

All the key facial features of the tiger fall at golden sections of the lines defining the length and width of its face.

Phi, golden ratio or Divine proportions in a tiger's face

The body sections of an ant are defined by the golden sections of its length. Its leg sections are also golden sections of its length. 

i-ant
ant body showing golden proportions
The facial features of a koala bear show golden ratio proportions in the dimensions and positions of the eyes, nose and mouth in relation to the dimensions of the face.

Koala bear golden ratio

Filed Under: Life

Comments

  1. Ramchandra Amnekar says

    August 3, 2012 at 9:46 am

    Nature is a creative researcher

    Reply
    • Psychology student says

      July 10, 2013 at 8:32 pm

      Yes, very creative, and when you said nature, surely you mean an intelligent designer? Nature is not alive is it?

      I like the term creative researcher though 🙂

      Reply
      • Sarita says

        January 29, 2014 at 5:35 am

        If nature is not alive then we are all dead.

        Reply
        • Gary Meisner says

          January 29, 2014 at 1:12 pm

          This logic is faulty, as not everything in nature is alive. Hydrogen, carbon and oxygen and other elements on the periodic table are not alive, nor are many things composed of them, e.g., diamonds, rocks, various inorganic compounds, etc. Only living organisms are alive, so if the building blocks of life are not in themselves alive, “creative” or intelligent, it still leaves us with the question of how life originated from them.

          Reply
          • Rmc says

            December 14, 2019 at 2:55 pm

            Life is the force (voltage) that moves matter

          • Gary B Meisner says

            December 23, 2019 at 12:54 pm

            If so, then we need a much better understanding of life as a force. What is it’s nature and source? Why does it exist? How does it act upon material? We have some of those answers for other forces, such as nuclear, gravitational and electro-magnetic. I wrote an article with a similar thought here: https://www.snapshotsofgod.com/forces-of-nature-and-self-organization/.

        • Rajesh says

          August 6, 2020 at 12:22 pm

          Nature is the playground of resources. We are yet to know who has played it so well

          Reply
      • Lynch says

        January 14, 2017 at 9:42 am

        Nature create the things that nature love and that makes nature a blessing we should love nature Just like the love it creates Create love and we’ll see

        Reply
        • Gary B Meisner says

          January 14, 2017 at 1:38 pm

          So “nature” creates and loves too. Sounds like “nature” is not just some “natural process”, but something … or Someone … with purpose, intelligence, thought and emotion.

          Reply
      • John M McGovern says

        October 20, 2017 at 12:58 pm

        thank u

        Reply
    • Yash204 says

      August 7, 2014 at 9:24 am

      N-Never ending
      A-admirable
      T-talented
      U-universal
      R-reasearch
      E-engineer

      Reply
  2. Rajesh K Mediratta says

    August 6, 2012 at 1:40 pm

    Would like to know about your observations on phi in animals.

    Reply
  3. Peter says

    September 25, 2012 at 9:11 pm

    Okay, I have been looking into this for a few days now, and I have some issues. I want to believe this, but it looks like you are choosing the points within animals and plants in an arbitrary way. For example, with the penguin, why are those particular points chosen? Is it because they match with the ratio? Also, the human, the point between the legs, and then the point in the midsection, I am not sure what significance these points have from a visual standpoint that they would be chosen, other than the fact that they correlate to the golden ratio.

    Am I missing something? I was initially excited about this, but I am starting to get sceptical.

    Reply
    • jasmine says

      October 9, 2012 at 2:18 pm

      i agree

      Reply
    • Faatui says

      November 29, 2012 at 12:15 pm

      It doesn’t matter what points he chooses…what matters is that it is there. Nature is extremely redundant, but hides it well.

      Reply
  4. jasmine says

    October 9, 2012 at 2:15 pm

    I dont get it… you just picked specific points of the animal and specific animals why cant you just choose a bunch of flowers and see what they get? if you may post it to me please, thanks for reading this its very appreciated from everyone hope you have a nice day!

    Reply
    • just another hyooman says

      July 1, 2015 at 1:09 pm

      No he used a computer to measure accurately that the proportion is always 1 : 1.618… and each line on the penguins and all these animals is pointing at major points on the animal usually critical points on or emanating from the spinal column. Yes it all makes sense and you can use backwards logic on it saying “we’ll that makes sense there, just nature taking its course. But other people try to apply intuition and make connections (or perhaps imagine or create, creation being the “essence of god” no other animals have to near our degree). When you look at all the connectedness and try to understand why the golden ratio seems to be the generation of life and perhaps all movement. Personally what really convinces me is our solar systems weird as hell distance ratios, I would like to research whether other solar systems have anything close to it. The fact that its in the bible all over and in other religions like muslims and jews, who have pretty much the same story as Christians just with different final prophets, definitely raises some questions. Me being only accepting of logic, I can see how this could possibly be a human obsession with this nature observed constant phi, especially because of how much it affects us vs other animals, but that wouldn’t make weird ratios in our solar system, or account for the massive amount of other weird stuff. Praise God in heaven, I am nothing!

      Reply
  5. AISWARYA says

    October 28, 2012 at 12:14 am

    PLEASE HELP ME TO FIND A TOPIC FOR MY MATHS PROJECT..

    Reply
    • Gary Meisner says

      October 29, 2012 at 10:18 pm

      See https://www.goldennumber.net/school-projects-interviews/ for some ideas on phi topics. See also http://www.phimatrix.com/applications/ for applications of the golden ratio.

      Reply
  6. Fraser says

    November 15, 2012 at 4:59 pm

    Hi Gary,
    Would just like to express my appreciation for this site and your kind responses to the questions. I am an artist and have been focusing on my composition and this site has really helped me get a grasp on multiple aspects at once.
    The diagrams , breakdown and comments section are top notch.
    I am inspired to find other parallels to this system such as cooking, or martial arts(?)
    Regards,

    Reply
  7. Michele says

    November 30, 2012 at 6:23 am

    Can you speak to how this relates to music?

    Thank you,

    Michele
    BTW, I am hearing music…and no I don’t have any mental health issues.

    Reply
    • Gary Meisner says

      December 1, 2012 at 12:49 am

      Certainly. See the Music page.

      Reply
  8. Elizabeth Marvel says

    May 2, 2013 at 9:42 am

    your website helped me alot. it had alot of info

    Reply
  9. Kristie says

    October 27, 2013 at 10:21 pm

    Can I just remind people that koalas aren’t bears, they’re marsupials!

    Reply
  10. tyit says

    January 14, 2014 at 11:37 am

    Yes, very creative, and when you said nature, surely you mean an intelligent designer? Nature is not alive is it?

    Reply
  11. Poet says

    March 19, 2014 at 10:06 am

    While writing a poem about a boiled egg, I wondered if a boiled egg can be be marked off into golden segments.

    Reply
  12. Anya says

    July 24, 2014 at 9:34 am

    Don’t forget hair whorls found in most mammals, including humans.

    Reply
  13. Ignorent reader says

    October 16, 2015 at 12:50 am

    One Mr. Gary has stated here that chemical elements are not alive . only living organisms are alive. Of course let me admit I don’t know any of these things. But one question arises in my mind . What is this living organism made of ? is it not made of the same chemical elements ? so my argument ( I am afraid I may be erroneous also) is that if these chemical elements are not alive how can the living organism be alive ?

    Is it that he intended to mean that they are not alive if they exist in isolated position ? (I am a a very bad student of chemistry )

    Reply
    • Gary B Meisner says

      October 31, 2015 at 1:18 pm

      A fundamental property of “being alive” is the ability to reproduce, and to have other interdependent systems that allow the consumption and use of energy (ingestion, digestion, respiration, etc.). Chemical elements do not have those capabilities. To say they are alive is like saying the aluminum, steel and plastic can fly because they’re part of an airplane that can fly.

      Reply
  14. Marietta Schell says

    April 4, 2019 at 3:40 pm

    Gary B. Meisner,

    So then with what you are saying about “being alive”, I take it that an unborn baby is “alive” because it is digesting food from it’s mother, it is respirating and flexing, therefore is “alive”. So to “abort” an unborn baby would mean that someone has just killed it, correct?

    Thanks,
    MS

    Reply
    • Gary B Meisner says

      April 4, 2019 at 9:08 pm

      This site and page is really intended to discuss appearances and applications of the golden ratio, and not be a forum for pro-life and pro-choice discussions. The comments addressed life when a couple of readers commented that “nature is alive.” I disagreed because not all of nature is “alive.” A rock is not alive by any standard or definition that we use, but is part of nature. As to your question, Merriam Webster defines “alive” as “having life : not dead or inanimate.” So anything that exhibits the metabolic processes of life is alive and living, from a single celled bacteria to a jelly fish to a human, born or unborn. My father fit in a cigar box when born prematurely. My grandsons were quite alive when delivered via C-section very prematurely. Merriam Webster’s first definition of “kill” is “to deprive of life,” so yes an unborn baby is living and to abort it is to deprive it of life. No politics in this. Just simple definition and truth.

      Reply
      • Phi says

        February 10, 2020 at 8:11 am

        I agree

        Reply
  15. Peter Hymans says

    July 11, 2024 at 9:31 am

    “Life” measurement has a time-awareness aspect which may prevent humans from being able to perceive “life” in things we deem to be inanimate. When “we” measure something it often requires our attention. This is limited by our requirement for sleep and our mortal nature. Some things take eons to move or demonstrate some form of “intelligence” Certainly Phi is an example of something resembling consciousness, over time. In his supremely powerful book, “Synergetics”R. Buckminster Fuller states several instances where supposition of inanimateness of things are questionable. The human ego all too often makes the phrase “I don’t know” to be a source of embarrassment, rather than a place of wonderment and respect for marvelous forces we cannot comprehend.

    Reply

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Search GoldenNumber.net

Now on On Amazon for about $20 with
over 500 reviews, a 4.7 rating and 82% 5-star reviews!
"Magnificant Book - A Work of Art" · "An incredible achievement." · "Currently the best book of its kind!"

PhiMatrix design software for artists, designers and photographers

Is beauty based on the golden ratio?

da Vinci and the Divine proportion

Most Popular Articles

  • Gary Meisner's Latest Tweets on the Golden Ratio
  • Art Composition and Design
  • Facial Analysis and the Marquardt Beauty Mask
  • Markowsky's “Misconceptions" Debunked
  • What is the Fibonacci Series?
  • Golden Ratio Top 10 Myths and Misconceptions
  • Overview of Appearances and Applications of Phi
  • The Perfect Face, featuring Florence Colgate
  • Facial Beauty and the "New" Golden Ratio
  • Google's New Logo Design
  • The Nautilus shell spiral as a golden spiral
  • The UN Secretariat Building Design
  • The Design of the Parthenon
  • Phi, Pi and the Great Pyramid of Egypt at Giza
  • Leonardo da Vinci's Salvator Mundi
  • Michelangelo's Sistine Chapel

Most recent articles

  • Pi is 3.1446 per “Measuring Pi Squaring Phi” by Harry Lear—Reviewed
  • Pi = 3.14159… vs Pi = 3.1446… – Circumference solution
  • Pi = 3.14159… vs Pi = 3.1446… – A simple solution
  • The World’s Most Beautiful Buildings, According to Science and the Golden Ratio
  • GDP growth subcycles and the Golden Ratio
  • The Science Channel Parthenon documentary features Gary Meisner as Golden Ratio Expert
  • Light, the Human Body, Chakras and the Golden Ratio
  • Golden Ratio Interview – December 2020
  • Quantum Gravity, Reality and the Golden Ratio
  • The Golden Ratios of the Parthenon
  • The Parthenon and the Golden Ratio: Myth or Misinformation?
  • Donald Duck visits the Parthenon in “Mathmagic Land”
  • Carwow, best-looking beautiful cars and the golden ratio.
  • “The Golden Ratio” book – Author interview with Gary B. Meisner on New Books in Architecture
  • “The Golden Ratio” book – Author interview with Gary B. Meisner on The Authors Show

Recent posts in this category

  • Pi is 3.1446 per “Measuring Pi Squaring Phi” by Harry Lear—Reviewed

  • Pi = 3.14159… vs Pi = 3.1446… – Circumference solution

  • Pi = 3.14159… vs Pi = 3.1446… – A simple solution

Recommended Books at Amazon

The Golden Ratio - The Divine Beauty of Mathematics
Phi: The Golden Ratio
Mathematics of Harmony
Divine Proportion
Sacred Geometry

Geometry in Style and Fashion

Sacred geometry Jewelry
Sacred Geometry Jewelry from Ka Gold Jewelry (and Golden spiral article)

Links

The Golden Ratio Book on Amazon
PhiMatrix Golden Ratio Design Software
PhiMatrix on Facebook
Site Map
Privacy Policy

Design and the golden ratio

Design basics · Graphic Design · Product design · Logo design · Photo composition · Photo cropping

Search GoldenNumber.net

Spam-free updates from the Phi Guy

Subscribe to GoldenNumber.net

Phi 1.618: The Golden Number

Dedicated to sharing the best information, research and user contributions on the Golden Ratio/Mean/Section, Divine Proportion, Fibonacci Sequence and Phi, 1.618.

Connect with me socially


© 1997–2025 PhiPoint Solutions, LLC
.
The Golden Ratio · Φ · Phi · 1.618...
.
 

Loading Comments...