Golden ratio-How to draw a nautilus by inkscape

The tools you need: computer、mouse、InkScape

Basic concept: Inkscape、黃金比例-費波那契數列是什麼


Do you want to draw a nautilus by yourself? Alex will teach you how to draw a nautilus by InkScape.

Warning: The language I use is traditional Chinese. I’m not sure that if your interfaces look the same as mine.It’s better to try some tools first in InkScape if you haven’t heard it before. (and I will remark the tools that I’m not sure the name in English)

We’ll use Fibonacci sequence, and decide what size it is. I will take n*10 mm for example (n is one of the numbers in the Fibonacci sequence) which is easier to understand.

10, 10, 20, 30, 50, 80, 130, 210, 340, …(Unit:mm)

You can multiply by 1.5 or 0.8. The entire sequence must be the scale of Fibonacci sequence.

And then start InkScape, expand the tab File>Attributes, choose a suitable size for canvas (or you can do it at the end). Here I take the horizontal A4 as the benchmark

1. Draw the first circle

The default circle should be the solid, complete one. We resize it to fit the sequence we have made above.Click here and set the size of your circle. For example, my first circle is 10 mm, so I set the radius ( X and Y) 10 mm. You also have to notice the unit.


2. Make a 1/4 circle

There are textbox called “start” and “end” in the picture above, and set 0 and 90 separately. The unit we use here is “degree”. So we set a circle which is (0-90) degree means that we set a quarter circle. (A circle is 360 degree)

3. Set fill and frame

Click the “object” in the tool box and find “fill and frame“, then the box will show on the side of screen. You can choose the color you like. In this case, I just want to draw the line of nautilus so I set the frame black and fill no color.


4. Adjust the circle

You can play these three button to see what’s different. They are closed circle, not closed circle, complete circle.

To this step you should get the first arc!

Then I will need a lot of arch, right? So I duplicate some arc, then I won’t have to resetting, just to modify the size and rotation.

5. Start to rearrange your arc

Remember you set a sequence of the size at the begining? It’s time to use it!

The first two is 10mm and 10mm. We set the propose position and rotate it. Click “object“>”rotate clockwise” or “counterclockwise 90°“. I want to make a clockwise nautilus, so I rotate it clockwisely and do the same later.

6. Continue with the 5th step

The third number of my size sequence is 20mm, so don’t forget to adjust the size.

Click the things you want to modify, and then click the tool that you originally draw this thing.

7. What if the drawing exceed the canvas size?

If the drawing is exceed the canvas, and you think it is difficult to draw, you can press ctrl+mouse wheel or change the display ratio in the lower right corner.
Like I said before, you can resize the canvas later.

Select the spiral frame you drew, and you can also see the familiar square!

If you think the spiral is too large, you can frame the whole things and press ctrl to adjust the size (proportional resizing).

However, you should notice that since the size is different from that you set at the beginning. The better way is to adjust it after the drawing all down.

In the process of painting, you should be able to feel the growth and application of the Fibonacci sequence! Maybe you will find a method drawing faster! Of course, you can also draw this spiral as you like. Try the things in the toolbox, and restore it if you make a mistake.

The last step is to enjoy the nautilus drawn by yourself! Remember to archive it if you like it.

Good for you

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