Spirals in Nature - The Smart Happy Project (2024)

Where to start about Spirals in Nature? I mean there are so many!

This is my love letter to Spirals in Nature. Read on if you want to find them and fall in love too. From seashells to lizard tails to delicate unfurling ferns and slices of veg, you won’t be disappointed.

A list of Spirals in Nature

Below is a fairly comprehensive list of where to look to easily find naturally occurring spirals. I have also compiled more info on the maths in spirals or particularly on how Fibonacci numbers manifest in nature, and how to spot the interconnected spirals in a sunflower so be sure have a good look around the Smart Happy Project website.

But, don’t let the maths and numbers put you off, what is important is to look and to be amazed by these spirals in nature, then your wonder will surely grow. You will see how the patterns of spirals in nature indicate the mathematical rules of growth.

Start with observing Spirals in Nature

Looking is the key to finding Spirals in Nature (no way Lisa, you’re not kidding?) I know, obvious, but you’d be surprised how little we see things sometimes. Improving observation skills is the first step to enjoying nature and building our relationship to it. The lists below will give you tips for where to look, but why look for shapes in nature? is also what the Smart Happy Project is about.

2 types of Spirals in Nature

Firstly a little distinction. Spirals in Nature occur in many forms, but for us to find them, it is helpful to think of just 2 concepts.

  • a flat curve
  • a 3D spiral (like a spiral staircase) also known as a Helix

spirals in rocks

Here you are looking for the flat curve spiral. What the tourist industry along the UK’s Dorset coastline is built on – Fossils. There are many fossil types but the Ammonite fossil is the spiral we are looking for and easily found along this stretch of this Jurassic coast in the UK both in calcite and pyrite forms its definitely worth a day trip.

spirals in plants

Plant forms have both types of spirals that we observe. You can clearly see the spiral as a flat curve in ferns, but also as a 3D spiral in petals as they unfurl around the flower bud. There is nothing more glorious than seeing those young ferns unfurl in early spring. Often called a fiddle fern because of the resemblance to a violin scroll, there are so many fern types to see.

Spirals in Nature’s seeds

Flowers often display a spiral pattern. Also at the other end of the flower cycle the seed formation often clearly presents a multitude of interconnected spirals.

I often run a workshop with The Smart Happy club where we paint in the spiral onto the pine cones. Its a simple nature craft that encourages the observations skills and involves the hands and the eyes.

Fibonacci goggles

Again this area can be looked at with our Fibonacci goggles on if you want.The brief explanation would be the cells that grow in the tip of the shoot do so in a helical (Helix) spiral pattern as it happens to be the most efficient way to pack the ever growing/moving cells. The angle of the the growth is commonly know as the Golden Angle which is the ratio between the Fibonacci sequence of numbers. That is the concise explanation! and enough to keep us in awe and wonder as the myriad of spirals in nature there are to be found

Spirals in the Shells

Seashells – I mean where to start? (just on UK is a good idea) Whelks and Periwinkles, Top shells, Limpets. There are so many variations to be found of just these types which you will see clearly how a spiral is the home of the mollusc that created it.

Also look for the bivalve shells. Mussels, Clams, Wedge, co*ckles to name just a few. Often you will only find one half which we call the shell. But you can see very easily how in this article the shape of shells is made and that actually the bivalve are also spirals.

How to build a Spiral in Nature

With some of these flatter bivalve shells the actual spiral is difficult to see because it is so distorted from what we expect a spiral to be. Yet spirals come in all forms, it takes just three factors to change the shape of a spiral. The video below gives you an idea of how all the different shells we see all conform to the same factors that determine their shape.

  • the apex height
  • how much it moves out from the centre on each turn
  • number of turns

Should you travel further afield than northern Europe the spirals in shells become more varied and elaborate. Yet all these shells will display the same principle of how there are grown by the mollusc and the 3 mathematical rules that determine the variations of the spiral.

You can read more about how this understanding was discovered in Searching for Nature’s Spirals by Dr. Helen Scales in The Smart Happy Project Autumn magazine

The Nautilus shell is the closest thing you will find that resembles what the creatures were that created the fossil we mentioned earlier. The Nautilus spiral is hailed as being a perfect Fibonacci spiral, reflecting the growth in the relationship between the sequence of numbers, sometimes also called a Golden Spiral.

Spirals in animals

Thrilled to spot this spiral in the tale of the Jackson’s Chameleon.

Snail shells come close to the molluscs of seashells. So many variations in pattern decoration.

Ok, so in the image below we painted the spiral onto the snail! But it was an not just an activity to find the spiral in nature on the snail shell, but also to work out how many snails lived in our area. An activity from Wildlife Watch that features on January 29th of the 365 Nature Journal from The Smart Happy Project

How thrilled was I to find this octopus washed up on the beach after a storm. (sorry octopus) displaying for me perfectly his tentacles that fell in spirals. I would have associated the octopus with circles in nature because of his suckers, but now he is in my spiral collection too.

Spirals in my Food

The Romanesco takes us on a journey into spiral fractals and if you slice a mushroom through the centre you can sometimes see a cross section of a curly spiral under the cup, sometimes referred to as the vortex.

Of course the Cabbage display’s the spiral common in most growth forms of leaf and petal rotation which again comes back to the growing tips forming at most efficient angle.

The Pineapple demonstrates the same pattern as the pinecone we painted. and the distribution of strawberry seeds will follow a similar pattern.

Spirals in Space

Birds of prey are known to descend in a spiral movement as they home in on their prey, because of needing to always keep the prey in sight.There are spiral galaxies in outer space we still know so little about. Air flows in spirals around objects and water will form in a vortex spiral down your plug hole. Waves on the seashore are spirals that ever surfer knows how to read.

Spirals in Me

Although few of us ever see it, the inner ear is spiral shaped and the DNA cell structure is a double helix.

But of course many of us have curly hair that falls in spiral ringlets and look carefully and you will see it spring from the crown of your head in a spiral direction.

the Geometry of spirals in nature

We touched on the 2 types of spirals i suggest looking for in nature, and we can also look at the geometry of different spirals and how they relate to measuring and form. There are Archimedean spirals, logarithmic or Fibonacci and we touched a little on the Golden spiral. There are simple drawing exercises for students in a walorf inspired learning environment who can create spirals with simple tools and the Waldorf curriculum encourages the Advent spiral in its annual celebrations.

But for now just get out there and look.

Lisa.

Spirals in Nature - The Smart Happy Project (18)

Spirals in Nature - The Smart Happy Project (2024)

FAQs

What are 5 examples of spirals in nature? ›

Snail shells, flower petals, pine cones, snakes, storms, DNA, curly hair, even galaxies are spirals—and that's not even nearly all! Why are spirals so abundant in nature?

What is the crack pattern in nature? ›

Cracks: Often seen in dried landscapes, mud cracks, and tree barks, these patterns arise due to tension and drying. Tessellations: Honeycombs, with their hexagonal cells, and the scales of certain fish are classic examples of patterns made of repeated shapes fitting together without gaps.

What is the spiral pattern in nature math? ›

Spiral patterns in nature can be logarithmic, based on the Golden Ratio, or based on Fibonacci numbers. Spiral patterns due to forces are usually not associated with the Golden Ratio or Fibonacci, such as hurricanes or galaxies, due to the dynamics of energy equilibrium.

What is the spiral sequence in nature? ›

A perfect example of this is the nautilus shell, whose chambers adhere to the Fibonacci sequence's logarithmic spiral almost perfectly. This famous pattern shows up everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space.

What is a real life example of Fibonacci? ›

The Fibonacci Spiral in Nature

The Fibonacci Spiral is seen in nature in many ways such as the shape of a nautilus (seashell), the arrangement of the spirals of a sunflower, and the arrangement of the scales of a pinecone. The seeds of a sunflower head form a Fibonacci Spiral.

What are the 12 patterns in nature? ›

Types of patterns found everywhere in nature include symmetry, branching, spirals, cracks, spots, stripes, chaos, flows, meanders, waves, dunes, bubbles, foam, arrays, crystals, and tilings.

What is the difference between a fractal and a Fibonacci sequence? ›

A fractal is a way of seeing infinity.” –

As defined in Designa: Technical Secrets of the Traditional Visual Arts13, the Fibonacci sequence is a “cumulative progression where each number is the sum of the preceding two.” The sequence starts with 0 and 1, and theoretically, goes on forever.

Is cactus a fractal pattern? ›

Fractal structure is evident in cactus branching as in other branched plant forms. This branching is chaotic, with small differences during development of the plant, likely including environmental factors, leading to a considerable variety of forms based on the same basic genetic instructions.

What is the chaos pattern in nature? ›

Patterns of chaos in nature are all around us. These patterns include but are not limited to fractals and turbulence in fluids, shapes such as spirals or two-dimensional Mandelbrot sets, or something as ordinary as the nested layers within an onion. Chaos in nature is a fascinating study.

Why are spirals mesmerizing? ›

Staring at a rotating spiral pattern produces a hypnotic effect; the pattern seems to either expand or contract, depending on the direction of rotation.

Is a sunflower a spiral? ›

The seeds of a sunflower form two spirals, called parastichies, one set eminating from the center in a clockwise direction, the other in a counter-clockwise direction. In most cases, the number of clockwise spirals and the number of counter clockwise spirals will be adjacent numbers of the Fibonacci sequence.

What is the Pythagorean spiral in nature? ›

A pythagorean spiral is made up of contiguous right angles. It is seen in nature in shells, sunflower seeds and many others.

What is the Fibonacci equation? ›

Fibonacci sequence, the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers; that is, the nth Fibonacci number Fn = Fn 1 + Fn 2.

What is the spiral method pattern? ›

The spiral model is a systems development lifecycle (SDLC) method used for risk management that combines the iterative development process model with elements of the Waterfall model. The spiral model is used by software engineers and is favored for large, expensive and complicated projects.

What spirals are found in nature? ›

Spirals are common in plants, with Fibonacci spirals making up over 90% of the spirals. Sunflower heads, pinecones, pineapples and succulent houseplants all include these distinctive spirals in their flower petals, leaves or seeds.

What are 5 examples of spiral galaxies? ›

Some famous spiral galaxy examples are the Milky Way Galaxy, Andromeda Galaxy, Sunflower Galaxy, Messier 101/Pinwheel Galaxy, and the Triangulum Galaxy.

What are the natural spiral formations? ›

Plant spirals can be seen in phyllotaxis, the arrangement of leaves on a stem, and in the arrangement (parastichy) of other parts as in composite flower heads and seed heads like the sunflower or fruit structures like the pineapple and snake fruit, as well as in the pattern of scales in pine cones, where multiple ...

What is an example of spiral plants? ›

Spiral patterns occur in certain plants such as sunflower heads, pineapples and artichokes. Simply by counting the spirals, we see that the number of spirals with a given pitch (slope) is a Fibonacci number. Typically, two families of spirals will be visible--one clockwise and one counterclockwise.

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