2 Ways to Draw the Fibonacci Spiral

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Sketching the golden spiral is easy with these step-by-step instructions

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Full Method

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Rectangle Method

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Expert Q&A

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Tips

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Warnings

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Things You'll Need

Commonly found in nature, the well-known shape of the golden spiral is a unique form but can be sketched nicely using the elements of the Fibonacci sequence. It is fairly simple to draw, and can be quite beautiful when done correctly.

Things You Should Know

Draw 7 touching squares: 2 1x1 squares on top of each other, a 2x2 left of them, a 3x3 below them, a 5x5 to the right, an 8x8 on top, and a 13x13 to the left.
Place a compass in the bottom, left corner of the first 1x1 square and turn it through the opposite corner of each square, adjusting it as you go.
Go over the spiral with ink and erase your pencil lines.

Method 1

Method 1 of 2:

Full Method

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You'll need to draw a system of squares that will end up "inscribing" the spiral, acting as guide lines for your drawing. Gather your materials, making sure that you have everything––the list of what is needed is found in the Things You'll Need section below all the steps.
This works by adding the two previous numbers: You get the next one starting from 0 and 1; so, it goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc. The length of one side of each square should equal a number in the sequence (the 0 is not needed for drawing any of the square), but the beginning point can be called (0,0), if we set it up that way. You will have a 1X1 square (use any unit of measurement you want, at any size, just be consistent) with a second 1X1 drawn next to it on the left side of the first, then down to put 2X2, and right for 3X3, then up for 5X5, and then left to fit 8X8. Below all that, put 13X13 and so on, to as large a square as your paper can fit.
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Draw each of these squares in a counter-clockwise pattern. It will finally form a spiral as you draw a curve through the squares (as instructed later).
Put your compass, pivot point and pencil, as shown in the picture, with its length set at one unit (side of the first square) long. Turn it 90 degrees counter-clockwise.
Adjust the compass so it is now two units long. Again, turn it 90 degrees counter-clockwise. Then 3, then 5, next 8 and continue this process until the squares each have the curving spiral through them.
Ink your drawing with pen when you are ready, carefully tracing along the penciled curve. If you're shooting for exceptional accuracy, you can use a French curve to help you.
With the spiral traced in pen, use your eraser to rub out the squares made in pencil.
Congratulations, you've just made the golden spiral!

Method 2

Method 2 of 2:

Rectangle Method

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Using a ruler and protractor can help.
Find the halfway point on one of the sides.
Take a compass and find one of the corners on the opposite side from where you took the halfway point. With the needle on the halfway point, place the arm at the opposite corner.
Rotate the compass until the arm is in line with the side where you took the halfway point. This spot will now be the corner for the golden ratio outline rectangle.
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Draw the new rectangle. Using a ruler, extend your square into a rectangle with the point you found as one of its corners. This new rectangle can be used as a basis for drawing your spiral.
- You can improve your artistic skills by reading about art.
- Making plenty of sketches.
- Finding a teacher who can help you to look at things from an artist's perspective.

Expert Q&A

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Question
What happens when you mix opposite colors on the color wheel?
Renée Plevy
Portrait Artist & Educator
Renée Plevy is an Internationally Acclaimed Portrait Artist from New York/Palm Beach who has painted The Grand Dames of Palm Beach and various celebrities and community leaders. With over 50 years of experience, Renée specializes in painting realistically in oil and capturing the soul of the person. She has studied under internationally renowned portrait artists John Howard Sanden, David Leffel, Robert Beverly Hale, Clyde Smith, and Leonid Gervits. Renée is featured in over 68 shows and galleries including a one-woman museum show at the Paterson Museum. She has garnered numerous awards including “Artist of the Year” from The Bloomfield Art League and First Prize from the Boca Raton Museum Artist’s Guild. Renée has even painted a portrait of celebrity, Vanilla Ice. She also teaches at the Boca Raton Museum Art School - formerly at SVA in Manhattan.
Renée Plevy
Portrait Artist & Educator
Expert Answer
When you mix opposite colors on the color wheel, you make them a deeper color. So if your red is too bright to work with the other colors on your painting, you can mix a little green in them. If your green is too bright, and you want to tone it down a little bit, you can add a little red to it.
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Question
Can you create a gold color using other colors?
Renée Plevy
Portrait Artist & Educator
Renée Plevy is an Internationally Acclaimed Portrait Artist from New York/Palm Beach who has painted The Grand Dames of Palm Beach and various celebrities and community leaders. With over 50 years of experience, Renée specializes in painting realistically in oil and capturing the soul of the person. She has studied under internationally renowned portrait artists John Howard Sanden, David Leffel, Robert Beverly Hale, Clyde Smith, and Leonid Gervits. Renée is featured in over 68 shows and galleries including a one-woman museum show at the Paterson Museum. She has garnered numerous awards including “Artist of the Year” from The Bloomfield Art League and First Prize from the Boca Raton Museum Artist’s Guild. Renée has even painted a portrait of celebrity, Vanilla Ice. She also teaches at the Boca Raton Museum Art School - formerly at SVA in Manhattan.
Renée Plevy
Portrait Artist & Educator
Expert Answer
You cannot make a gold color. But you can make the colors around it work. They have to be darker. And they have to add to the actual impression. For example, if you are making a painting and there are various colors around a particular shade of Naples yellow with a bit of lemon yellow, it would look like gold.
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Can I do this without the compass?
Undertale4141
Top Answerer
Yes, the compass just makes it more exact. You can draw the arches yourself.
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Tips

Using a French curve can greatly help your accuracy, but it takes some practice to find the right curves and make it flow.
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Use a thick pen. It gives you a bit more "wiggle room" with the pencil curve, so if you start to stray a little you can catch it and correct it without it being too obvious.
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