I wonder if this is the basis for Xara's smart shape spiral?
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I wonder if this is the basis for Xara's smart shape spiral?
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? ;)
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.
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.
Attachment 123355.
No guarantees it is right as the curves are Bezier but possibly more accurate than quarter circles.
Acorn
I can't say that I could follow all your instructions, but, the good thing was that you included your .xar file.
And when I place my curve made with semi-circles over yours, then there's a marked difference.
And if I download a Fibonacci Curve from the Internet and place my curve over the top, then it's pretty perfect.
And, I'm sorry to say that yours doesn't quite fit. :(
However, I am extremely grateful to you for trying to show me, and posting your file so that I could have a look at it. :-bd
Rik, I must have got a bit dizzy.
Acorn
I created a continuous straight line tracing over Acorn's line segments, converted the control points to Curve, then clicked Make Curve (but first as suggested, added a tiny extra length at the start and one at the end) then it does indeed create a curve to match your results. And the beauty of vectors is once you have your right angles constructed, you can reduce the line to a more convenient size.
Since my vector line fibonacci spiral stereogram was so well received I decided to do another, this one using a blend of two curves.