Sunflower dot pattern

Hi everyone,

I have read through all of your suggestions to Kris' question on how to create a sunflower dot pattern. And they appear to be exceedingly more complex to create for what I thought would be a simple pattern. I too would like to know how to create a sunflower pattern in Illustrator, but with all of the dots being the same size -(SEE BLK/WHT EXAMPLE BELOW). I have created some nice dotted radial patterns with the transform tool, but the dots get smaller in size as they move to the center (ATTACHED COLOR EXAMPLE BELOW). Can someone suggest a way to create this pattern in Illustrator/photoshop using the existing tools and effects that come with the software? I am not an advanced user with these tools and I really dont want to purchase any plug ins or use any other software packages that I am not familiar with to do this.

Thanks,

Sharon

I compiled some math lying around on the web with these amazing scripts and puzzled a version together that also rotates the object in question.

I'm confident someone can shave multiple lines off the script, but for now this works for me:

[code]

var docSel=app.activeDocument;

var docSelSel=app.activeDocument.selection[0];

//translate([deltaX],[deltaY]);

selhorcent = docSelSel.left + (0.5*docSelSel.width);

selvercent = docSelSel.top - (0.5*docSelSel.height);

var scalex = 100;

var scaley = 100;

scalefactor = 1.02;

for (var i=1; i<600;i++)

{

    var r=10*Math.sqrt(i);

    var t=137.5*Math.PI/180*i;

    var newSel=docSelSel.duplicate(docSelSel);

    newSel.translate(r*Math.cos(t),r*Math.sin(t));

    newselhorcent = newSel.left + (0.5*newSel.width);

    newselvercent = newSel.top - (0.5*newSel.height);

var p1 = {

  x: newselhorcent,

  y: newselvercent

    };

var p2 = {

  x: selhorcent,

  y: selvercent

    };

// angle in radians

var angleRadians = Math.atan2(p2.y - p1.y, p2.x - p1.x);

// angle in degrees

var angleDeg = Math.atan2(p2.y - p1.y, p2.x - p1.x) / Math.PI * 180;

//assuming top-pointing "seed"

newSel.rotate(angleDeg-90);

//newSel.resize(scalex,scaley);

//scalex = scalex * scalefactor;

//scaley = scaley * scalefactor;

}

docSelSel.remove();

[/code]

The code I posted produces a sunflower in the following way:

1.  Create a small square using the Rectangle tool

2.  Open the Script (.js or .jsx extension) that contains the script above and run it.

3.  You get the resultant picture

I was able to get this result with a little knowledge of ActionScript and refactoring the code to JavaScript using the JavaScript for Illustrator Reference Manual that is available online.  It was tested using CS6 but I think it will work in CC as well.

Thanks for the formula greyleaf!

Some Code for you (Javascript for Illustrator)

var docSel=app.activeDocument; var docSelSel=app.activeDocument.selection[0]; //translate([deltaX],[deltaY]); for (var i=1; i<400;i++) {         var r=10*Math.sqrt(i);         var t=137.5*Math.PI/180*i;         var newSel=docSelSel.duplicate(docSelSel);         newSel.translate(r*Math.cos(t),r*Math.sin(t));         } docSelSel.remove();

you cant just create a spiral (using the illy spiral tool) as your starting point. you need to create an arithmetic spiral (archimedean spiral)...

here is a quick example, with a brush (dot) ... obviously you can perfect the settings to suit>

you can try this and this

http://mathematica.stackexchange.com/questions/20924/spiral-pattern-and-fibonacci-numbers

and

function phylo ( N:float,k:int):Vector3{

          //N=numpts  k=currentpt

    var inc =  Mathf.PI  * ( 3 - Mathf.Sqrt ( 5 ) );

    var off = 2 / N;

          var y = k * off - 1 + (off / 2);

          var r = Mathf.Sqrt (Mathf.Abs(y))  ;

          var phi = k * inc;

          return Vector3(Mathf.Cos(phi)*r*10, 0, Mathf.Sin(phi)*r*10);

};

i only do the look upt till N/2in the above formula i use N/

this is perhaps even better:

function sflo ( N:float,k:int):Vector3{

var n = k;

var r=Mathf.Sqrt (n);

var t=137.5*pi/180*n;

return Vector3(r*Mathf.Cos(t),0, r*Mathf.Sin(t));

}

Hello Kris...almost like the other comments but a little different.

Here’s another way

Create a circle, stroke with no fill

Use the type on path tool

Use font dingbats, weddings etc, to select a box shape and copy and

paste that shape around the circle, but add a space between the shape/font.

Type to ‘Create Outlines’

Delete part of the boxes you do to need, so you get an Arc of boxes

Then divide 360 by the amount of copies of lines/arc you need e.g. 360 divided by 60 equals 6

you may need to experiment to the desired size/fit

Then copy and paste the arc/line around a centred point 60 times

TREX

Here's a second attempt, this time using an Arc instead of a Spiral.  The problem I seem to be having is near the origin where items are bunched together as opposed to evenly-spread-out.

This is in German, but the screenshot says it.

http://illustrator.hilfdirselbst.ch/dokuwiki/tutorials/tipps_tricks/florales_muster_mit_dem_transformationseffekt

It's Effect > Distort and Transform > Transform

That's the image I was trying to create Jacob.  I've done it in Flash before (somewhat closely anyway) But never Illy.

Here's a poor representation of the steps I took listed in my list above.  Note:  The brush I used was a Pattern Brush, not an Art Brush.