Fibonacci Curve

**Fred C** · 10 February 2019, 08:24 PM

Rik,
Draw a line with the Shape tool clicking on respective square points and then go back and pull out the handles to cleanup the arcs. You can check/align each arc by drawing a circle separately. Delete the circles and you're left with a continuous line. HTH

**Rik** · 10 February 2019, 09:15 PM

Originally Posted by Fred C

Rik,
Draw a line with the Shape tool clicking on respective square points and then go back and pull out the handles to cleanup the arcs. You can check/align each arc by drawing a circle separately. Delete the circles and you're left with a continuous line. HTH

Is it not easier, as gwp has said and what I did, is to draw a circle and cut the 1/4 out of it.
That way, in my opinion, the arc is accurate.

In fact, to get the correct size of circle, all you need is to draw a square 100px x 100px, Then draw a circle of twice the size. i.e. 200px
Then align the quarter of the circle over the square.

However...
The continuous line that you mention, Fred, is a collection of points, which is the same as the arcs joined together.
Isn't it?

**gwpriester** · 10 February 2019, 09:59 PM

Piece of cake.

**Fred C** · 11 February 2019, 12:50 AM

Rik, Remember this:

Click image for larger version.

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http://site.xaraxone.com/html/shareware.html

**gwpriester** · 11 February 2019, 01:17 AM

I wonder if this is the basis for Xara's smart shape spiral?

**stygg2003** · 11 February 2019, 05:39 AM

Originally Posted by Fred C

Rik, Remember this:

http://site.xaraxone.com/html/shareware.html

I was wondering if anyone would remember this tool and you did Fred. Not sure if it will do the job Rik is trying to achieve though.

Stygg

**Jonopen** · 11 February 2019, 07:05 AM

Pixabay has a svg version. It’s one thing drawing (or downloading) the curve guide, but another doing anything useful with it. Maybe drawing snails?

**Rik** · 11 February 2019, 04:00 PM

Thanks for your comments and suggestions guys.

I know that Xara has the option of being able to draw a SPIRAL.
But, that's not the same as the Fibonacci Curve.

And many thanks for the link (reminder) to the SPX Spiral Generator.
I did used to have that, but, I've downloaded it again.
But, whilst it looks as though it produces something that looks like a Fibonacci Curve, it actually isn't.

**Acorn** · 11 February 2019, 05:55 PM

Rik, here is my best shot.

Following the Fibonacci sequence (1, 1, 2, 3, 5 ,8, 13 21, 34, ...), I created a vertical line of unit length (here 50px).
I copied that and turned it 90° (horizontal) and created new lines the length matching the Fibonacci Sequence (above).

After running out of paper (A2), I switched to the Shape Tool and with Smooth Join, I touched each of the corners, moving along the line from in to out.

The trick is to choose a source point, just off the start point and to finish beyond the end point with a nearby sink point; these allow the sequence to be effectively truncated.

Fibonacci Curve.xar.

No guarantees it is right as the curves are Bezier but possibly more accurate than quarter circles.

Acorn