Our Octopus design is made entirely out of affirmations relevant to the symbolism of the octopus. Furthermore, do you see how the octopus is taking the shape of a human brain in profile? Perhaps this ‘brain pose’ posture exists in octopus yoga somewhere on or near the ocean floor.
Each of the eight arms corresponds to a different aspect of the octopus’ symbolism and to the function for that particular region of the brain.
The more you learn about octopuses the more remarkable they become. Octopuses can change colors to produce spectacularly effective camouflage. When in danger, they detach arms to escape predators. Then they can regrow that arm back! Some octopuses take different shapes to trick predators and prey into thinking they are different animals all together. And then of course they are incredibly intelligent. Attempting to contain an octopus? You better plan carefully! If it is at all possible octopuses will figure out how to escape.
Brain Pose is not a real yoga pose. But I like the idea of the octopus doing a special octopus yoga that humans do not have access to. So let me qualify that statement that brain pose is not a real yoga pose in human yoga. Regardless, the physical posture this octopus is taking is the shape of a profile view of a human brain. Not just because of the aesthetics but because of the incredible amount of overlap between the abilities of the human brain and the symbolism of the octopus.
While the octopus in this design is modeled after a giant pacific octopus, the affirmation words creating the art are relevant to the general symbolism of all types of octopuses. You have been all of these attitudes in some way, shape, or form before, even if it was only for a moment, and you can be them all again.
Let’s go through each arm and its corresponding brain lobe:
Arm 1 – Movement – Cerebellum
When you take on the attributes of the octopus related to movement you are tapping into your ability to hold an appropriate posture for whatever situation you are in. For example, you can engage your core and align your spine properly whenever you are sitting. Maybe even right now! The optimal posture for that particular activity.
There are times to tip your pelvic floor forward and times to tip it back. The more I am mindful of my posture, the more I will protect my back. I got your back, back. So if you find your eyes focused on this first arm of the Octopus consider how the words can serve your posture, balance, and life today!
Tying this arm to the ‘brain pose’ theme, this area of the brain is the Cerebellum. The Cerebellum controls balance, posture, coordinating movement, and our ability to learn to move through adjusting during trial and error.
I am fit. You are graceful. We are flowing with the motion of the ocean. I am unfolding. You are moving with ease. We are stretching. You are flexible. We are well positioned. I am gliding. You are strengthening the mind. We are gliding. I am elegant. You are strong. We are dynamic. You are well positioned. We are advancing. I am supple. You are fluid. We are balanced. I am strong. You are elegant. We are moving with ease. I am dynamic. You are holding the pose. We are flexible. I am advancing. You are balanced. We are graceful. I am stretching. I am well positioned. You are stretching. We are supple. You are fit. We are elegant. I am balanced. You are unfolding. You are advancing. We are holding the pose. We are fit. I am deft. You are deft. We are fluid. You are flowing. You are slipping through. We are free. You are dancing
Arm 2 – Being Grounded – Brainstem
Octopuses are bottom feeders. They live on the ocean floor with ease despite the crushing pressures of all the water and atmosphere above them. Arm 2 of the octopus represents concepts round being grounded, connected, and submerged within our beingness. So dive deeper into the second arm on our octopus design and see which affirmations you connect with.
Arm 2 lines up with the brainstem which controls breathing, heart rate, and other automated functions as well as the flow of information between the mind and the body.
When you focus on this section of the design recognize your own connection to both mind and body through the breath. Take a deep, slow one now. Feel your mind quiet, your heart rate slow, and your body relax as you submerge into oneness. Thus allowing us to let go of anxious thoughts about the future and attachments to the past that are shaping our experience in a way we do not like. Learning to properly use our breath and meditate are two important tools in shaping the relationship between our consciousness and our world, the internal and the external, or the physical and the spiritual. Too important to ignore! Breathe deep and look into arm two.
I am ready. You are present. We are concentrating on the present moment. I am awakening. You are patient. I am connected. You are at ease. We are rooted. I am making peace. You are immersed in the present moment. We are experiencing being. You are making peace. We are here now. We are grounded. You are relaxed. We are present. I am mindful. You are centered. We are mindful. You are experiencing being. We are at ease. We are meditative. I am peaceful. We are living in the present moment. You are meditative. We are awakening. I am slowing down. You are connected. I am present. You are exploring the depths.
Arm 3 – sequencing and organization / memory- Temporal Lobe
If you are drawn towards the third arm on our octopus brain pose design you may need to call forth your capacity to find the important information while taking in lots at once. The 8 arms of the octopus represent an ability to multitask and bring focused purpose to the chaos. When we feel overwhelmed we can tap into these aspects of the octopus and find within ourselves an ability to organize, prioritize, and find what is useful within a vast metaphorical sea of life.
Arm three of the octopus design ties into the temporal lobe of the brain. The temporal lobe handles making sense of the chaos. We hear so many sounds. They would all just be noise if it were not for this important part of the brain. We can take those different sounds, find the ones that are important, and turn them into meaningful words or a signal of danger. To pull off this amazing feet our temporal lobes process sensory information and are responsible for a lot of aspects of our complex memory.
I am multitasking. You are multitasking. I am handling it. You are handling it. I am holding on. You are holding on. We are holding on. I am creating solutions. You are creating solutions. You are dedicated. We are dedicated. I am active. We are active. I am solving puzzles of life. We are solving puzzles of life. I am searching for useful patterns. You are searching for useful patterns. I am leading. You are leading. I am united. We are united. I am synchronized. You are synchronized. We are synchronized. I am getting a good grip. You are organizing. You are skillful. We are skillful. I am doing something different. You are reasoning. We are reasoning. We are exploring.
Arm 4 & Arm 5 – Self Awareness, Emotion, and Intelligence – Frontal Lobe
Octopuses are very well known for their intelligence. Their ability to find solutions to complex puzzles is rivaled only by humans. Finding these solutions requires creativity and a level of understanding that exposes a high level of thinking.
While we may not be able to test for this directly yet, some people believe octopuses are capable of thoughts beyond concepts of pleasure and pain but maybe jealousy and compassion. It makes sense that emotions and thoughts, once believed only humans could have, would be present in creatures that exhibit such intelligence. I mean even my dogs have unique personalities. So advanced thinkers like an octopus could be having a very profound internal experience.
What does it mean to be you? What distinguishes any of us from anyone else? One of the most important parts of answering those questions lies in understanding the frontal lobe. Also known as the “control panel of our personality”, the frontal lobe allows for such things as emotional expression, problem solving, and judgement.
All those important functions give the frontal lobe a good chunk of real estate. So we gave the frontal lobe two arms; both 4 and 5. Jump in and tap into your higher level thinking and own uniqueness!
Here are the words making up arm 4
I am intelligent. I am aware. You are strategic. We are original. I am independent. You are exploring. We are patient. I am powerful. You are consciously participating. I am unique. We are understanding. You are decisive. You are creative. You are tactful. We are planning. We are original. You are conscious. I am clearly perceiving myself. You are watching your thoughts. We are witnessing our internal experiences.
And here are the words making up arm 5:
You are adapting. We are overcoming. I am strong willed. We are versatile. You are capable. I am tenacious. I am learning. I am growing. We are transformed. We are transcending. You are creating. I am incognito. I am strengthening the mind. We are strengthening the mind. I am adaptable. I am clever. You are reflecting. You are bettering your understanding your self. You are aware of your behaviors. You are contemplating. You are clearly perceiving yourself. I am watching my thoughts. We are witnessing our internal experiences. You are smart. We are ingenious
Arm 6 – Sensing – Motor Strip / Sensory Strip
Each arm of the octopus is full of so many nerves and sensors that some people consider each arm to be its own autonomous brain! Arm 6 of our brain pose Octopus design calls forth the aspects of ourselves that tie into Octopus symbolisms surrounding abundance and perceiving the information of our world.
Within the human brain arm 6 overlaps with the sensory-motor strip. It is a part of the Parietal Lobe, which we will get to in more detail in arm 7. The sensory-motor strip registers sensations. If you are looking into arm 6 you are finding aspects of yourself tied to sensing the world around you. Life without sensing the world we live in would be tragic. I am grateful for my perception of the world allowing me to bare witness!
I am sensing. I am abundant. You are abundant. You are expanding. We are expanding. You are wealthy. We are complete. I am generous. You are enough. I am feeling. We are feeling. I am balanced. We are balanced. We are taking it all in. I am acquiring information. You are acquiring information. You are noticing. You are perceiving. We are perceiving. We are adjusting based on new information. You are interpreting signals. I am processing multiple streams of data. You are in control. I am detecting. I am connecting. I am exploring my feelings. We are observing.
Arm 7 – Interprets language, spacial, and visual perceptions – Parietal Lobe
I mentioned earlier how an octopus can release an arm and then grow it back. They perceive, react, and heal. We are capable of this cycle as well when facing challenges. Looking into arm 7 yields affirmations relevant to the symbolism of an octopus about interpreting, understanding, releasing, and healing.
Our own Parietal Lobe, located in the region of arm 7, controls the processing of information allowing us to interpret the world around us. We use the Parietal Lobe in turning things like impulses from the skin into concepts of touch, pain, warmth, and cold.
I am interpreting. You are releasing. We are regenerating. I am renewing. I am healing. I am letting go. We are rejuvenated. We are renewed. You are healed. I am protecting. You are free. You are healthy. We are responding well. You are resilient. We are recognizing attachments. I am understanding where I am. You are expressing. You are comprehending. You are seeing where you want to go. We are well oriented. I am mathematical We are linguistic I am mathematical.
Arm 8 – Vision – Occipital Lobe
When you look into arm 8 of our octopus brain pose design you will see attitudes related to perceiving the world. In the physical sense this literally means seeing things clearly. Metaphorically, you can can apply this idea of vision to tapping into the concepts about leadership and witnessing the infinite internal experience.
Arm 8 is located in the back of the brain where the Occipital Lobe is. All mammal brains have this lobe and use it mostly as the visual cortex.
Feast your eyes on arm 8’s affirmations about your own capacity to see through illusions and find possibilities you want.
You have an eye for details You are recognizing yourself in others. We are exploring the depths of our consciousnesses. I am envisioning the goal. I am witnessing. You are good luck. You are protected. I am talented. You are surprising. I am inspired. You are patiently observing. We are seeing clearly. I am looking for solutions. We are looking for solutions. We are seeking. We are seeing through illusion. I am visualizing success. You are visualizing success. I am searching the possibilities. You are searching the possibilities. I am making good use of the information. I am healthily digesting experiences.
Ther head of our octopus design grabs affirmations from all 8 of the arms and mixes them together representing unity and synchronicity.
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Our Giraffe Design is made out of affirmations relevant to the symbolism of the giraffe.
SYMBOLISM OF THE GIRAFFE: Getting a higher view — seeing the big picture — vision
Giraffes’ most obvious traits is their long necks. Practically speaking this gives them a great advantage at finding food since so few animals can reach where they can. But the other big advantage of a long neck is the ability to see much further than lower animals. This gives them the ability to see danger coming earlier. With great height comes great vision. With a higher view of things you can more easily see the whole picture or the big picture. In turn, you will have a better understanding of the full situation allowing you to better understand your options. And allowing you to more easily see the path leading you towards your goal.
SYMBOLISM OF THE GIRAFFE: Rising Above — Patience — Gentle Demeanor
When we rise above a situation we are letting go of our ego. We become a witness to what is happening without getting emotionally wrapped up in reacting to it. Giraffes literally rise above. But in a mindful sense they seem to move with great intention. Outside of dangerous situations they move slowly and with care. This serves them well in a hot environment. It also gives someone watching them the impression that they have a very gentle demeanor and great patience. When we rise above a situation it will be fleeting if we do not combine it with patience. Patience with ourselves and with others.
SYMBOLISM OF THE GIRAFFE: Gracefulness — Dignified — Confident
Giraffe’s have incredibly long legs that appear slender but are incredibly powerful. one of their best defenses is a mighty kick with their back legs. Most species protect their necks at all costs. Giraffes expose theirs in such an exaggerated way it is hard not to feel their confidence. They gracefully swing long limbs and their long neck with no sign of clumsiness. There is also a strong sense of dignity with someone that is standing tall and rising above the lure of the ego. Keep your head held high and feel your power as you gracefully move through this world.
SYMBOLISM OF THE GIRAFFE: Stretching towards your best self
The giraffe reminds us to stretch towards our best self. With a better understanding of the big picture we can see our role in it more clearly in it. At any given moment we can strive for the best version of our self by rising above the ego.
SYMBOLISM OF THE GIRAFFE: Perceive Truth
Giraffes represent having a clear perception of the truth. This symbolism can be attributed to having their heads so high to see the farther into the horizon and thus the big picture. Another contributing fact about giraffes to this notion of perceiving truth is their two ossicones on top of their heads at their crown chokra. Some people look at those as antenna that allow them to tap into the spirit realm. With this extra sensory perception comes the ability to see more than just what is visually before us. We can exhibit foresight and see future trends.
SYMBOLISM OF THE GIRAFFE: Heightened awareness
Giraffes only sleep for roughly five minute increments adding up to no more than 30 minutes every 24 hours. So in pure minutes of alertness per day giraffes are practically unrivaled. Combine this with the view from their tall neck perches allowing them to see further and you have an extreme example of heightened awareness. While sleeping so little would undoubtedly dull a human’s cognitive functions the notion that we can be even more aware in any given situation is a nice connection to this aspect of the symbolism of the giraffe. When we take on the spirit of the giraffe we are opening ourselves to becoming even more aware of the abundance of opportunities surrounding us all the time.
Expansion of Awareness
Speaking of awareness… The affirmations in the Giraffe design expand from the “I am” statements, to ‘You are’, and then ‘We are’. This represents a pattern everyone goes through over and over again as we begin new endeavors. Take learning yoga for example. I start in my own head having an internal experience centered on how I am doing a new act. Then I look at you and compare my way to yours. Finally, when we are simply doing the act with everyone else doing it, we are all together flowing as a ‘we’. All three stages are important and a part of the process.
Affirmations in this Giraffe design
Here are all of the affirmations we used in this design. All of them are relevant to the symbolism of the giraffe:
· I am seeing the big picture
· You are applying foresight
· We are making healthy choices
· I am creating opportunity
· You are unique
· We are reaching
· I am being true to myself
· You are meditating
· We are quietly observing
· I am finding courage
· You are maintaining balance
· We are exuding dignity
· I am graceful
· You are moving deliberately
· We are surefooted
· I am keeping my head up
· You are kind
· We are reaching for the stars
· I am aspiring
· You are questioning current perspectives
· We are envisioning good things
· I am patient
· You are growing spiritually
· We are honorable
· I am growing
· You are moving slowly
· We are maintaining balance
· I am walking my talk
· You are trusting instincts
· We are contemplating
· I am setting big goals
· You are confident
· We are discovering new opportunities
· I am keep goals in plain sight
· You are exuding dignity
· We are fabulous
· I am applying foresight
· You are empathetic
· We are walking our talk
· I am remaining grounded
· You are keeping your head up
· We are tender hearted
· I am envisioning good things
· You are reconnecting
· We are in tune
· I am standing tall
· You are stretching
· We are seeing the big picture
· I am elegant
· You are powerful
· We are powerful
· I am striving
· You are looking far into the horizon
· We are finding courage
· I am flexible
· You are in tune
· We are trusting instincts
· I am moving deliberately
· You are protecting
· We are creating opportunity
· I am fabulous
· You are connecting with your higher self
· We are elegant
· I am empathetic
· You are bold
· We are taking aim at tall targets
· I am rising above
· You are growing
· We are sense what’s coming
· I am engaging with unique perspectives
· You are taking the high road
· We are standing strong
· I am seeing more clearly
· You are creating opportunity
· We are meditating
· I am grateful
· You are taking aim at tall targets
· We are keep goals in plain sight
· I am honorable
· You are rising above the crowd
· We are seeing the context
· I am maintaining balance
· You are quietly observing
· We are rising above
· I am protecting
· You are seeing future trends
· We are respected
· I am intuitive
· You are gentle
· We are growing spiritually
· I am trusting instincts
· You are walking gently
· We are keeping our heads up
· I am unique
· You are making healthy choices
· We are quieting the mind
· I am looking far into the horizon
· You are standing strong
· We are patient
· I am tender hearted
· You are finding courage
· We are graceful
· I am adhering to a strong personal code
· You are seeing the context
· We are flexible
· I am moving slowly
· You are gaining perspective
· We are stretching
· I am bold
· You are being true yourself
· We are perceiving truth
· I am wisely using resources
· You are elegant
· We are connecting with our higher selves
· I am taking the high road
· You are quieting the mind
· We are questioning current perspectives
· I am in tune
· You are aspiring
· We are grateful
· I am gaining perspective
· You are seeking the best in life
· We are confident
· I am questioning current perspectives
· You are striving
· We are protecting
· I am gentle
· You are fabulous
· We are wisely using resources
· I am meditating
· You are walking your talk
· We are moving slowly
· I am reconnecting
· You are intuitive
· We are walking gently
· I am stretching
· You are seeing the big picture
· We are reconnecting
· I am contemplating
· You are reaching for the stars
· We are rising up to challenges
· I am sense what’s coming
· You are flexible
· We are bold
· I am seeking the best in life
· You are rising up to challenges
· We are looking far into the horizon
· I am heightening awareness
· You are remaining grounded
· We are growing
· I am reaching
· You are centered
· We are standing tall
· I am reaching for the stars
· You are adhering to a strong personal code
· We are gentle
· I am confident
· You are reaching
· We are seeking the best in life
· I am respected
· You are envisioning good things
· We are empathetic
· I am growing spiritually
· You are engaging with unique perspectives
· We are unique
· I am exuding dignity
· You are perceiving truth
· We are engaging with unique perspectives
· I am kind
· You are rising above
· We are seeing future trends
· I am rising up to challenges
· You are setting big goals
· We are striving
· I am powerful
· You are honorable
· We are centered
· I am walking gently
· You are tender hearted
· We are seeing more clearly
· I am centered
· You are discovering new opportunities
· We are kind
· I am connecting with my higher self
· You are seeing more clearly
· We are aspiring
· I am standing strong
· You are heightening awareness
· We are being true ourselves
· I am seeing the context
· You are graceful
· We are intuitive
· I am quieting the mind
· You are sense what’s coming
· We are gaining perspective
· I am quietly observing
· You are keep goals in plain sight
· We are remaining grounded
· I am making healthy choices
· You are grateful
· We are adhering to a strong personal code
· I am thoughtful
· You are standing tall
· We are applying foresight
· I am seeing future trends
· You are patient
· We are heightening awareness
· I am rising above the crowd
· You are surefooted
· We are thoughtful
· I am discovering new opportunities
· You are wisely using resources
· We are moving deliberately
· I am perceiving truth
· You are thoughtful
· We are setting big goals
· I am taking aim at tall targets
· You are respected
· We are rising above the crowd
· I am surefooted
· You are contemplating
· We are taking the high road
We currently screen print this Giraffe design on these items:
Available Giraffe Design Shirts
What’s your favorite symbolism of the giraffe? Did we miss any? Let us know in a comment below!
Every time we look at a screen, may it be a reminder to be mindful, take a deep breath, and adjust our screen posture. Be it a cell phone, tv, laptop, billboard, wall menu; whenever you find yourself noticing that you are looking at a screen, check in with your thoughts, feelings, and posture; breathe in fully; improve your physical alignment.
Screens are only becoming more and more ubiquitous in our everyday lives. As a result of this new and omnipresent sensory inundation it sometimes can feel like it is more difficult to find presence within ourselves. The less mindful we are the more we find ourselves hunched over and shallow breathing. Fear not! There are simple steps we can take to live harmoniously with the ever advancing digital age! These steps are the same steps we take any time we want to maximize our efforts towards being more mindful and present within the moment.
What’s in a screen?
Screens can be used to advance knowledge, relationships, compassion for the suffering of others, social justice, entertainment, and many other powerfully positive things. Screens can also be used for advancing radicalization, bullying, spreading ignorance and gossip, hiding from our “real world” problems, and many other things detrimental to ourselves and society. When we begin our screen time with a mindful breath and a proper adjustment to our posture, I propose that we are more likely to be our higher-selves and go the path of the former, positive possibility.
How it works
Does this not hold true for anything? About to confront someone about something you care about but disagree on? Take a deep breath, be aware of your posture, and begin with mindfulness. Going on a job interview? Take a few deep breaths and adjust your posture as you head into the meeting. Job interviews and emotionally charged conversations are very different activities; however, how we set ourselves up to most likely be successful is very much the same! This is just how human beings work.
Quiet the mind
The breath is the key to the door of consciousness and our emotions. Deep, slow breathing techniques like three sided breathing or four sided breathing are highly effective tools to soften the ego, cut through extreme emotional clouds when we need to, and ultimately quiet the mind.
With a quiet mind we are more likely to express our true beliefs and feelings in a way that other people are more likely to receive. When we are immersed in the present moment, rather than lost in our thoughts, we are more likely to hear someone else or acquire new information. From a mindful place we can recognize when we are or are not paying attention and bring our focus where we want it.
The breath is our greatest asset in achieving our best focus. With focus we are more likely to enjoy entertainment, have a peaceful exchange of ideas, perform a physical act how we want to, or absorb information in an article. This is just how human beings work!
Position our body
The positioning of our body, especially our spines, effects the energy of our bodies. If you believe in chakras or chi then this concept of allowing for the optimum physical flow through proper alignment and positioning probably fits intuitively with your understanding of energy. If you don’t subscribe to those notions of unseen energy running through our bodies, consider that when our spine is curved it is more difficult to breathe deeply. Try it yourself. And when we cannot breathe as well, we are sending less oxygen to our brain. In turn, our ability to maintain focus is impaired compared to when we are fully breathing freely and fully oxygenated. This is just how human beings work!
Optimizing ourselves for focus
So how would this be true for looking at a phone or laptop? Well, is there not a best posture for acquiring information or paying attention? Sitting upright with a comfortable spine, shoulders back, crown of head sitting over our hips; this is how you maintain focus for extended periods of time.
My point is that setting ourselves up for success starts before the activity. For example, meditation may be about letting go of our thoughts and therefore about ignoring physical distractions like itches and twitches; however, we still plan ahead before the meditation to sit as comfortably as possible. We start meditating with our hips above our knees so that our legs don’t fall asleep. Things like that will make our time meditating that much easier because there will be less distractions and future ailments. The same goes for screen postures. Before we read an article or respond to something on social media, we can optimize our chances of success by checking in with ourselves, breathing deep, and adjusting as needed.
Check in now with yourself
The more we do any activity, the more critical it is to focus on proper posture. The start of proper posture is awareness. So how do you feel right now? Notice any thoughts or emotions. Notice where your feet, legs, spine and head are. And now let’s breathe in deep through our nose. With that inhale, let us roll our shoulders up by our ears and gently straighten out our spine to a slight J curve. Exhale out all the air while we bring our shoulder blades straight down our back away from our ears. Slightly engage your core to protect your spine and help lift you out of your hips. And now begin your screen activity… or perhaps reading, talking, or driving… or anything! Mindfulness and posture will serve you!
Nothing is permanent
Despite how good this proper posture and heightened awareness feels, it is inevitable that we will find ourselves lost in our thoughts and hunched over again. Do not despair! Life moves in cycles. You will be back to awareness soon. The more you practice becoming aware of your changing states, the earlier and earlier you will notice you are out of alignment. Once we become aware of shallow breathing or poor posture, begin this Screen Posture Awareness Technique again!
Make the most of the situation
You can use anything as a reminder to fix your posture and breathe deep; however, there are sooooo many screens!!! So let’s turn them to our mindfulness advantage. Every screen is like a tiny gong in our head. When we notice we are looking at a screen we hear the gong ring clear saying “check in with my breath and posture”.
How many times a day will we be given the gift of a reminder to do these simple, healthy things? In our modern world, a plethora. May we renew our commitment to our breath and posture more and more throughout each day!
What is your screen posture?
What will be the lifelong effects of doing this awareness technique so regularly throughout every day each time we see a screen? Leave a comment below and let me know what you think!
Our Golden Ratio design is made from quotations about the connection between math & nature and in the shape of a Golden Spiral and Golden Rectangle. The Golden Ratio, a.k.a Phi (represented by the Greek symbol Φ), a.k.a the Golden Mean, a.k.a the Golden Section, is woven throughout so many aspects of our human existence and the universe we live in. And yet we are mostly oblivious to its power over our subconscious. This power attracts us like moths to a light except in this analogy the light is art, beauty, and our natural sense of ‘proper’ proportions. Nature is equally beholden to the influence of the Golden Ratio.
“Phi can be found throughout the universe; from the spirals of galaxies to the spiral of a Nautilus seashell; from the harmony of music to the beauty in art.”~Bruce Rawles
Golden Ratio = Φ
Here is a good summary of Phi: “A straight line is said to have been cut in extreme and mean ratio [The Golden Ratio] when, as the whole line is to the greater segment, so is the greater to the less.” ~Euclid (323 BC to 285 BC). Symbolically this can be represented by: A + B is to A as A is to B = Φ ≈ 1.61803
Our Golden Spiral design shows this relationship as both the Golden Spiral and a series of Golden Rectangles arranged in Fibonacci Tiling.
The Golden Rectangle
The largest rectangle and the largest square are in proportion to each other such that the length of one side of the square ≈ 1.61803 of the long side of the rectangle. The series of Golden Rectangles rotate 90 degrees and shrink proportionate to Phi. It is called Fibonacci Tiling because the ratio of volumes of the squares within each rectangle follow the Fibonacci series (take one number (starting and add the previous to get the next — 1, 1, 2, 3, 5, 8…).
Draw your own Golden Rectangle by following along with this animated gif. Start with a square and use a string or ruler to handle the angled line that swings down.
The Golden Spiral
Like Fibonacci Tiling, the Golden Spiral within the design uses the Golden Ratio in that the growth factor of each quarter turn is Phi (approximately 1.61803). You can find countless examples in nature making use of this growth rate. Look directly over a pinecone or a succulent plant and you will see this pattern at use by nature! Look at satellite imagery of a hurricane or telescope imagery of a spiral galaxy and you will see this pattern at use by the universe! Look at the proportions of a human face or the shape of a human ear! You will see this pattern!
If you want to draw your own Golden Spiral you can do so by first drawing the Golden Rectangle series as Fibonacci tiling. Then, using each resulting square, draw a quarter circle connecting two diagonals in the square and rotate 90 degrees doing the same to the next square.
The Golden Ratio in Art Composition, Design, and Architecture
It cannot be overstated how important the Golden Ratio is in the things humans tend to find visually appealing. Why that is may very well be connected to why this ratio shows up in nature. Perhaps we are attuned to it for some reason. It’s fun to imagine what that reason may be. Do a quick Google image search for the connection between the Golden Ratio and Art, Design, Architecture to see just how ubiquitous this ratio is.
“In order to understand the universe you must know the language in which it is written and that language is mathematics.” ~Galileo Galilei
The Fibonacci Sequence and the Golden Ratio
If you take two sequential Fibonacci numbers and divide larger one by the smaller one you will approach Phi. The resulting number will get closer and closer to Phi the deeper into the Fibonacci series you go!
Take a look at this table showing the first 20 digits of the Fibonacci series. By taking any number in the series and dividing it by the previous number in the series we get the resulting ratio in the 2nd column. The third column shows the difference between this resulting ratio and the Golden Ratio. The last three columns just continue the series for the 11th through 20th numbers in the Fibonacci series. As you can see the further in to the Fibonacci series we go the closer these ratios approach Phi.
Quotations used in this design
Here are all of the quotations in Think Positive Apparel’s Golden Ratio design:
“Everything in the universe that wants to be successful has to base its existence on the golden ratio.” ~Oliver Grant
“The Fibonacci Sequence turns out to be the key to understanding how nature designs… and is… a part of the same ubiquitous music of the spheres that builds harmony into atoms, molecules, crystals, shells, suns and galaxies and makes the Universe sing.” ~ Guy Murchie ∞
“Without mathematics there is no art”~Luca Pacioli
“A straight line is said to have been cut in extreme and mean ratio [The Golden Ratio] when, as the whole line is to the greater segment, so is the greater to the less.” ~Euclid
“In order to understand the universe you must know the language in which it is written and that language is mathematics.” ~Galileo Galilei
“Phi can be found throughout the universe; from the spirals of galaxies to the spiral of a Nautilus seashell; from the harmony of music to the beauty in art.”~Bruce Rawles
“The description of this proportion as Golden or Divine is fitting perhaps because it is seen by many to open the door to a deeper understanding of beauty and spirituality in life.” ~HE Huntley
“The Golden Ratio has inspired thinkers of all discipline like no other number in the history of mathematics” ~Mario Livio
a + b is to a as a is to b = Φ
What do you think of the Golden Ratio
Join the conversation and let us know your thoughts on the Golden Ratio, Golden Rectangle, Golden Spiral, or its connection to nature!