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Thread: Fibonacci Curve

  1. #11
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    Default Re: Fibonacci Curve

    I wonder if this is the basis for Xara's smart shape spiral?
    Gary W. Priester
    Mr. Moderator Emeritus Dude
    , Sir

    gwpriester.com | Custom-Stereograms.com | eyeTricks on Facebook






  2. #12
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    Default Re: Fibonacci Curve

    Quote Originally Posted by Fred C View Post
    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
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  3. #13
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    Default Re: Fibonacci Curve

    Pixabay has a svg version. Its one thing drawing (or downloading) the curve guide, but another doing anything useful with it. Maybe drawing snails?
    Jono (Xara Photo & Graphic Designer 16.1.1.56358, Renewal due: 04 June 2019)

  4. #14
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    Default Re: Fibonacci Curve

    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.

    Featured Artist on Xara Xone . May 2011
    . A Shield . My First Tutorial
    . Bottle Cap . My Second Tutorial on Xara Xone

  5. #15
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    Lightbulb Re: Fibonacci Curve

    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
    Acorn - My currently active Xara software: occasionally serviced XDPX, purposely unserviced XDPX12 & XDPX11 (32/64-bit), unserviced XWD Premium 15 & 12, XPGD10, X3D7 and lots of 'permanently-owned' licences back through time (to CC's Artworks)

  6. #16
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    Default Re: Fibonacci Curve

    Quote Originally Posted by Acorn View Post
    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
    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.

    Featured Artist on Xara Xone . May 2011
    . A Shield . My First Tutorial
    . Bottle Cap . My Second Tutorial on Xara Xone

  7. #17
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    Default Re: Fibonacci Curve

    Rik, I must have got a bit dizzy.

    Acorn
    Acorn - My currently active Xara software: occasionally serviced XDPX, purposely unserviced XDPX12 & XDPX11 (32/64-bit), unserviced XWD Premium 15 & 12, XPGD10, X3D7 and lots of 'permanently-owned' licences back through time (to CC's Artworks)

  8. #18
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    Default Re: Fibonacci Curve

    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.
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

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    Gary W. Priester
    Mr. Moderator Emeritus Dude
    , Sir

    gwpriester.com | Custom-Stereograms.com | eyeTricks on Facebook






  9. #19
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    Default Re: Fibonacci Curve

    Since my vector line fibonacci spiral stereogram was so well received I decided to do another, this one using a blend of two curves.
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

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    Gary W. Priester
    Mr. Moderator Emeritus Dude
    , Sir

    gwpriester.com | Custom-Stereograms.com | eyeTricks on Facebook






  10. #20
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    Default Re: Fibonacci Curve

    Quote Originally Posted by gwpriester View Post
    Since my vector line fibonacci spiral stereogram was so well received I decided to do another, this one using a blend of two curves.
    Told you I got dizzy!

    Acorn
    Acorn - My currently active Xara software: occasionally serviced XDPX, purposely unserviced XDPX12 & XDPX11 (32/64-bit), unserviced XWD Premium 15 & 12, XPGD10, X3D7 and lots of 'permanently-owned' licences back through time (to CC's Artworks)

 

 

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