How to Draw a Fibonacci Shell – Sketchbook Art

How to Draw a Fibonacci Shell – Sketchbook Art

by | Art for Self-care

Drawing The Fibonacci Shell

Fibonacci Sequence

I’ve always been interested in symbols and patterns and particularly the patterns found in nature. The work we are about to draw is one of those natural patterns that pops up all over the place.

The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21… and continues. The numeric pattern is created when the previous two numbers are added together to make the third number. So, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5 and so on.

The Plant Kingdom

The Presence of Fibonacci Numbers in Nature

The Fibonacci sequence, a captivating mathematical pattern, manifests itself prominently in the natural world. One notable illustration of this sequence is observed in the intricate designs found in sunflower heads.

 

Sunflower Heads

Upon closer observation, the arrangement of seeds on the head of a sunflower reveals a remarkable adherence to the Fibonacci sequence. The seeds are organized in mesmerizing whorls that spiral out in a manner consistent with this numerical pattern.

 

Spiral Symmetry

The Fibonacci sequence is renowned for its characteristic spiral symmetry, and this phenomenon is vividly demonstrated in the sunflower’s seed distribution. The whorls expand outward in a mesmerizing spiral, following the numerical sequence with precision.

Mathematical Harmony in Nature

This natural manifestation of the Fibonacci sequence in sunflowers underscores the profound connection between mathematics and the organic world. The inherent order and harmony found in these patterns contribute to the aesthetic beauty and structural integrity of sunflower heads, showcasing the intricate design embedded in the fabric of nature.

 

Functional Significance

Beyond its aesthetic appeal, the Fibonacci sequence in sunflower heads is believed to have functional significance. The arrangement optimizes the packing of seeds, ensuring efficient distribution and maximizing the sunflower’s reproductive potential. This mathematical precision serves as a testament to the evolutionary adaptations that enhance the plant’s survival and reproduction.

The prevalence of Fibonacci patterns in sunflowers extends beyond individual plants to impact broader ecosystem dynamics. As sunflowers play a vital role in various ecosystems, their adherence to mathematical principles influences the ecological interactions and relationships within their habitats.

The presence of the Fibonacci sequence in sunflowers also carries symbolic significance. It serves as a visual representation of order, balance, and mathematical elegance in the natural world, reinforcing the idea that mathematical principles underlie the beauty and functionality of diverse life forms.

 

Pineapple

Another example of the Fibonacci sequence in plants is found on a pineapple where knobby things cycle up one way with eight spirals and the other way with thirteen spirals called interlocking helices.

These are just examples of how the Fibonacci numbers come through in the plant world. In essence, the observation of Fibonacci numbers in sunflower heads and pineapples offers a captivating glimpse into the symbiotic relationship between mathematics and nature. It invites us to appreciate the precision and sophistication embedded in the seemingly simple aspects of the natural world, revealing the underlying harmony that governs the intricacies of life.

 

The Animal Kingdom

Nautilus Shell

A captivating illustration of the widespread occurrence of the Fibonacci sequence in the animal kingdom unfolds in the elegant spirals of the Nautilus shell. This seafaring creature, characterized by its distinctive shell, provides a striking example of mathematical precision as it meticulously follows the Fibonacci pattern in its growth and chamber arrangement.

The Nautilus, with its spiral shell, serves as a living testament to the intrinsic connection between mathematics and the natural world. Each chamber in the Nautilus shell expands in a precise sequence dictated by the Fibonacci numbers, resulting in a visually mesmerizing pattern that reflects the inherent order woven into the fabric of nature.

 

Personal Connection and Collection

I possess a small yet meaningful shell collection, prominently featuring a Nautilus shell. Acquired during a vacation in Mozambique, this particular specimen holds a special place in my collection.

The intricate chambers and the adherence to the Fibonacci sequence in its structure serve as a tangible reminder of the mathematical elegance present in even the smallest fragments of the natural realm.

 

Nautilus Shell

Artistic Inspiration

This Nautilus shell, residing in my collection, has become the muse for a captivating sketchbook piece that we embark upon together today. The delicate curves, precise spirals, and the harmonious proportions dictated by the Fibonacci sequence provide rich inspiration for an artistic exploration that bridges the realms of science and creativity.

 

Drawing the Nautilus Shell

Through this artistic endeavor, we delve into the symbiotic relationship between art and nature, allowing the Fibonacci-inspired sketch to capture the essence of the Nautilus shell’s beauty. This creative process not only celebrates the wonders of the natural world but also serves as a means to express the harmony and balance inherent in the mathematical principles echoed by the Nautilus.

The Nautilus shell’s adherence to the Fibonacci sequence extends beyond aesthetic beauty; it holds scientific significance. The mathematical precision observed in its growth pattern serves functional purposes, aiding in buoyancy control and optimal navigation through ocean depths.

Starting on this artistic journey inspired by the Nautilus shell invites us to explore the connections between mathematics, nature, and creative expression.

It is a celebration of the intricate beauty found in the animal kingdom and a testament to the awe-inspiring wonders that unfold when science and art intersect.

 

Supplies

I’m listing the art supplies I used to create this drawing, but I always urge you to use anything that you have at hand. You do not have to go out and get these supplies. You will probably have plenty of pens and papers in your home with which you can draw this sketch.

 

 

You Have What You Need

Don’t feel that you have to have all of this equipment and if you don’t you can’t do it. Use the supplies that you have to hand. You are an artist that’s why you are here. Get your stuff out and let’s get started.

 

Drawing the Grid

We are taking the two numbers five and eight from the Fibonacci sequence. We are going to draw a rectangle with that is eight blocks wide by five blocks deep. It will depend on the size of your paper, but in my sketchbook, I drew a rectangle that was actually 2 x 8 which is 16 centimeters wide and 2 x 5 which is 10 centimeters deep.

If you are using inches, it might be easier to draw your box 8 inches by 5 inches or any combination of those numbers. When you have your rectangle centred on your page it’s time to draw the grid. Divide your rectangle into eight columns wide and five rows deep.

Drawing the Blocks

Look at my diagram to see how to further divide up your blocks. On the left-hand side draw a thicker line after five columns. Now looking on the right-hand part, which is now 3 columns wide, draw a thicker line 3 rows down.

From the bottom right corner draw a thicker line two rows over and two rows up. Finally divide the last two into one cube each. Keep looking at the block diagram to make sure that you are dividing your rectangle into the squares correctly.

 

Drawing the Curves

When drawing the lines with your compass make sure to press lightly. You just want the line to be a guide we are not engraving on the page. The pencil I have in my compass is a 2H pencil. Make sure the tip of the compass point and the tip of the pencil are at the same place (when the compass is closed) before you start.

 

Steps

  • With your pencil compass place the point at the origin position shown by the red dot and draw two quarter circles over the one cube blocks.
  • Move your compass point to the origin position marked with the dot and draw a curve two blocks wide as shown.
  • Move your compass point to the third origin position shown and draw a curved line over three blocks.
  • Move your compass point into the final five block origin position and draw an arc five blocks wide as shown.

Number 1 Block

See below.

Number 2 Block

See below.

Number 3 Block

See below.

Number 5 Block

See below.

Dividing Into Segments

Now we are going to divide each of the number blocks one, two, three and five into segments (like an orange) to indicate the growth of the shell.

 

Number One Blocks

The number one blocks do not get divided as they are just one.

Number Two Blocks

The number two block division is from the origin point (where we put the compass in) draw a line at 45 degrees dividing the number two block into two segments.

Number Three Blocks

Considering the three blocks, place your protractor crosshairs at the origin point (where you put your compass point in) for the number three blocks, remember to reference the drawing.

We’re going to divide the number three block into three, so that will be 90-degrees divided by three will result in 30-degrees per segment. Make a light mark at 30-degrees from the horizontal and 60-degrees from the horizontal on your page. With a ruler, join the origin point for the number three blocks with the 30-degree and 60-degree mark lightly in pencil. Do not extend the line past the curve.

Number 5 Blocks

We are going to divide the number five blocks into five segments. Place your protractor cross hairs at the origin point for the number five block. To divide 90-degrees by five each segment will be 18-degrees wide. Counting up from the horizontal, make a light mark at 18-degrees and then one at 36-degrees (2 x 18 = 36). 

Next, counting left from the vertical, make a light mark at 18-degrees and one at 36-degrees. Take your ruler and lightly draw a line from the origin point to the marks you have just made. You will draw four lines here thus dividing the five block into five segments. Do not draw these lines past the curve of the shell.

 

Erase Marks

Lightly erase any pencil marks that are now unneeded and unnecessary before you start to color. I also used a kneadable eraser and lifted quite a bit of the graphite from the page just leaving faint lines there as a guide.

Read more >>> Sketching English Bay Beach: Vancouver

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Coloring the Shell

I chose to colour my Fibonacci shell in tones of yellow and the background in tones of blue. Yellow and blue is always a great color combination to use in artwork and you can see this to great effect in Van Gogh’s “Starry, Starry Night” painting.

Take your time as this is the fun part. Color in the background with different colors of blue. Relax and color in each little segment withing each block carefully. There will be many triangles and slivers of block now. Finally, I went over with a heavy black pen and redrew the curve of the Fibonacci shell and the artwork outline.

 

Completed

Voila, and there is your completed sketch. It is a fascinating shape as the Fibonacci shell continues to spiral outwards from the centre point. This shape resonates with us as it is part of the natural world.

 

What Not to Do

When I first started drawing the Fibonacci shell, I couldn’t get it quite right because it’s quite a tricky pattern. I tried several times, over a few days, to divide the shell because I wanted to you to see the striations and stripes on the shell which is how the actual Nautilus shell looks.

Now I’m going to show you my first few original efforts, so if for some reason you do make a botch, you will be happy knowing that it happens to everyone. 

These first two drawings are examples of what not to do when trying to draw the Fibonacci shell. The third one is correct.

 

fibonacci-shell

Save this pin to read later.

Below is the correct one.

Aspiring Artist Activity

In your sketchbook, please draw the Fibonacci shell by doing the following:

Aspiring Artist Activity

In your sketchbook, please draw the Fibonacci shell by doing the following:

 

  • Measure the blocks carefully.
  • Draw the curves carefully.
  • Divide the segments carefully.
  • Colour in and embellish your artwork as you see fit.

 

Share

Share your artworks on social with the hashtag #AHAFibonacci.

 

Alison Hazel

Author Bio

Alison Hazel is a woman who shares her ongoing journey about becoming an artist later in life. She creates simple art that anyone can make. She hopes to inspire you to reach your creative potential in the area that suits you.

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Building Bridges in Art – Graphite Sketches – Aspiring Artist

Building Bridges in Art – Graphite Sketches – Aspiring Artist

by | Aspiring Artist

Building Bridges

Bridges join two places together they bridge the gap between one side and another.

To cross a bridge is an important movement as we go from the known to the unknown.

It is easy to stay on your shore and not travel across a bridge both physically and intellectually.

You can reach out to new people and situations by building bridges, so you can grow in life in your mind and body and soul.

To try something new is a given in the act of building bridges.

During the design phase, an engineer will work out exactly what is required to build a particular bridge.

Each bridge requires a different blueprint.

 

Bridges in Your Art Journey

Find places in your art life where you can build a bridge to close a gap, chasms or abyss.

Do you stand on one side to watch and wonder about what happens on the other side?

Maybe you plan to do oil painting one day, I know I do.

Let’s see what that looks like.

Steps to Build an Art Bridge

First, I consider what things have to be in place for me to welcome oil painting into my life

For example, I will:

  • Require an oil painting class to show me the ropes.
  • Have to purchase oil paints and brushes.
  • Acquire new canvases.
  • Perhaps have to get, and store, some linseed oil and turpentine.
  • Need time as it take days to make a painting, because oil paints take so long to dry.

 

Beneficial Effects of Building a Bridge to Oil Paints

I’ll probably end up with quite a smelly studio so I’m going to make have to make sure that the windows and air-conditioning offer adequate ventilation.

The mess of oil painting the cost of the paints (and to be honest this is probably the most biggest blockage I have) two beginning with oil paints.

Questions I Ask Myself

Will the investment into all the equipment I will need for oil painting worth the result?

What if I’m no good at oil painting?

Should I concentrate on watercolors?

Who says I can even paint?

How I Built a Bridge to Art

I practice daily art.

I’ve even written about my current daily practice, and you can read more about that.

But the actual act of maintaining a daily art practice, is how I plan to prepare to build a bridge to further explorations of art, such as starting with oil paints.

I have never done oil paints, however I did one painting in acrylics and realized I wasn’t very keen on that medium which is why I chose with watercolor.

In the meantime, I still love pencil sketches and I have some of bridges near me that I want to share with you.

First Bridge over Niagara Falls

Let’s have a look at how bridges are actually built because they don’t just happen overnight.

This is the story of how the first bridge was built across the Niagara Falls valley between the USA and Canada.

Back in the day, a youth named Homan Walsh flew his kite, with a string attached, from the one side across the gorge to the other side where another person was waiting.

With the very first twine, they were then able to pull a lightweight rope over across the gap.

Next, they heaved heavier ropes which were ultimately made into a pedestrian bridge, and it began to be a substantial crossing point.

From that point on, they were able to heave wood and planks and eventually build the first wooden bridge that crossed Niagara Falls.

The point of this is that bridges are not just built overnight.

Bridges in Your Art Life

If you want to extend yourself by reaching over to an area of your life that is perhaps a little unknown, or of which you are unsure, it will take time.

You will be tentative to start with such as the kid with the string on his kite.

The first step for you to build a bridge in your life, to expand your artistic ability into whatever medium it is that you are considering going into, is to just begin.

For myself, I did take an art class in painting mediums which I had never used before.

At the art class, I used the studio’s art supplies and their products and was able to decide whether or not a particular technique was for me.

Such as with the acrylic paint, I didn’t like the way it moved and quivered, but I enjoyed the watercolor paint and the way the color pooled and puddled and how I could manipulate the colour with my brush.

That was what attracted me to do watercolor paintings to start with.

One day I may build a bridge to oil painting, but I don’t think it will be this year.

Graphite Sketching

When I began my art practice last year, I started with a pencil although I’ve subsequently realized the artists don’t talk about pencil drawings they talk about graphite

Graphite is actually what is inside the pencil.

As a child I was brought up believing that the grey stuff that was inside a pencil was lead and certainly it may have been many years ago, but these days it’s a substance called graphite.

Therefore, I’ll just talk about graphite sketches and that’s what I’m saying here.

Three Bridges in Vancouver

Recently I took my pencil and sketchbook out to three of the bridges that are nearby my home in Vancouver, Canada.

The downtown area of the city is built on a peninsula which is surrounded by water on three sides.

Vancouver has many bridges and each one is unique in its design.

Two of these bridges are within walking distance of my downtown apartment and the third structure was further away, but I went there for a day out sketching trip.

Burrard Bridge

This is an interesting bridge it was built many years ago and it has two concrete towers at each end with some kind of the superstructure in-between.

It is a highly used bridge which brings people into the city.

The way the municipal peninsula is formed, you can sit on the sand at Sunset Beach and see the Burrard Bridge which makes it ideally placed to be drawn by an artist and many do draw it.

This was an extremely interesting urban construction to draw.

Lion’s Gate Bridge

The Lion’s gate Bridge was built years ago.

It is a huge artery to flow people from the north shore twin cities of West Vancouver and North Vancouver into the city of Vancouver proper.

The Lion’s Gate Bridge is part of the Stanley Park nature reserve and due to its huge presence, is easily observed and thus can be drawn from many areas of the city.

This particular sketch I drew from the Coal Harbor side of the peninsular.

The Lion’s Gate Bridge is a huge structure, and it does look very reminiscent of the Golden Gate Bridge in San Francisco although the Lion’s Gate Bridge is painted green and does not have the span of its bigger cousin.

Port Mann Bridge

The Port Mann Bridge was only finished a couple of years ago and it replaced the smaller bridge that runs adjacent to it.

This was a very interesting bridge to sketch with lots of superstructure and cables holding it up that were remarkable to draw.

There are also two massive knobby things on the top of the pillars and I’m not quite sure what they’re about, but it was a very interesting silhouette to outline.

The Port Mann Bridge is the most recent bridge that has been built in Vancouver and it is very modern in its construction.

I went out to New Westminster one day for lunch and I was able to get into a position where I could draw this bridge in my pencil sketchbook.

Aspiring Artist Activity: Bridges to Art Mediums

In your art journal please do the following:

  • Write down any art mediums that you are thinking about trying in the future (graphite, watercolor, acrylic, oil, charcoal, collage, sculpture, mixed media etc.).
  • Choose one medium mentioned above, and list three blocks you have to bridging this gap.
  • List five steps that you can take to start your new art practice.
  • Over the next week, consider which will be the first step and think about when you can take this first step (next week, next month or next year).

 

Share on social with the hashtag #AlisonHazelArtAspiringArtist, so we can see the creations from your heart.

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