Re: [Flashcoders] Position objects evenly around ellipse
Would anyone have a function, class, formula, idea whatever that would allow me to calculate X and Y values to place an n number of movie clips evenly spaced around an ellipse/oval shape? The number of clips can vary based on external data. The ellipse would also have to be calculated I suppose, but not actually drawn - the representation of it would be a separate graphic. 'evenly spaced' is a slightly ambiguous phrase. It could either mean that they are spaced with even angles (meaning that physically the clips at the 'pointy end' of the ellipse would be closer to each other) or that they are spaced with equal arc lengths, or various other metrics. I always find it easiest to think of an ellipse as a circle transformed by a stretch and rotate. So I'd do it something like this: for an ellipse with short radius (semiminor axis) a and long radius (semimajor axis) b, centred on c, pointed along the unit vector v: first place your clips evenly spaced around a unit circle: if there are N clips then place clip i at (sin(i*2*pi/N), cos(i*2*pi/N)) then stretch the positions: multiply the x-axis by a and y-axis by b: (a*sin(i*2*pi/N), b*cos(i*2*pi/N)) then rotate: move to i[2]*v+i[1]*normal(v) then translate: add c to each point. HTH Danny ___ Flashcoders@chattyfig.figleaf.com To change your subscription options or search the archive: http://chattyfig.figleaf.com/mailman/listinfo/flashcoders Brought to you by Fig Leaf Software Premier Authorized Adobe Consulting and Training http://www.figleaf.com http://training.figleaf.com
[Flashcoders] Position objects evenly around ellipse
Would anyone have a function, class, formula, idea whatever that would allow me to calculate X and Y values to place an n number of movie clips evenly spaced around an ellipse/oval shape? The number of clips can vary based on external data. The ellipse would also have to be calculated I suppose, but not actually drawn - the representation of it would be a separate graphic. I found the algebraic formula for an ellipse on a Cartesian plane to be: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 But no idea how to make a translation to my problem. Thanks! Jason Merrill | E-Learning Solutions | icfconsulting.com NOTICE: This message is for the designated recipient only and may contain privileged or confidential information. If you have received it in error, please notify the sender immediately and delete the original. Any other use of this e-mail by you is prohibited. ___ Flashcoders@chattyfig.figleaf.com To change your subscription options or search the archive: http://chattyfig.figleaf.com/mailman/listinfo/flashcoders Brought to you by Fig Leaf Software Premier Authorized Adobe Consulting and Training http://www.figleaf.com http://training.figleaf.com
Re: [Flashcoders] Position objects evenly around ellipse
I have some code I used in a project todo a similiar idea.. this should get
you started.. puts the clips around a perfect circle.. you'll have to play
with it a bit.
var clipPosition:Number = 0;
function setPosition(p_clip:MovieClip):Void {
clipPosition += 60;
var r:Number = clipPosition*Math.PI/180;
var d:Number = 80;
if (r/Math.PI*180760) {
r += 180;
d += 155;
clipPosition -= 41;
} else if (r/Math.PI*180360) {
d += 80;
clipPosition -= 30;
}
p_clip._x = Math.cos(R)*d;
p_clip._y = Math.sin(R)*d;
}
for (var i = 0; i20; i++) {
var clip = this.attachMovie(clip, clip_+i, i);
setPosition(clip);
}
Cheers,
Ryan
On 3/16/06, Merrill, Jason [EMAIL PROTECTED] wrote:
Would anyone have a function, class, formula, idea whatever that would
allow me to calculate X and Y values to place an n number of movie
clips evenly spaced around an ellipse/oval shape? The number of clips
can vary based on external data. The ellipse would also have to be
calculated I suppose, but not actually drawn - the representation of it
would be a separate graphic.
I found the algebraic formula for an ellipse on a Cartesian plane to be:
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
But no idea how to make a translation to my problem.
Thanks!
Jason Merrill | E-Learning Solutions | icfconsulting.com
NOTICE:
This message is for the designated recipient only and may contain
privileged or confidential information. If you have received it in error,
please notify the sender immediately and delete the original. Any other use
of this e-mail by you is prohibited.
___
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RE: [Flashcoders] Position objects evenly around ellipse
Thanks very much Ryan - looks like a good start - I can use maybe a
little of that, but an ellipse is also mathematically quite different,
and I'm not sure how I would go about modifying your example to fit an
ellipse shape.
Plus, it seems (though I haven't tested it) you are hard coding values
in there, assuming there are 20 clips and thus have hard coded values
such as 41 80, so that determines the spacing - I need a function that
will dynamically spread them out evenly, not knowing how many there will
be. But seriously, thanks very much, for sending what you did. I'm
just not mathematically adept enough to translate that to my problem.
Other ideas?
Jason Merrill | E-Learning Solutions | icfconsulting.com
-Original Message-
From: [EMAIL PROTECTED] [mailto:flashcoders-
[EMAIL PROTECTED] On Behalf Of Ryan Matsikas
Sent: Thursday, March 16, 2006 7:01 PM
To: Flashcoders mailing list
Subject: Re: [Flashcoders] Position objects evenly around ellipse
I have some code I used in a project todo a similiar idea.. this
should get
you started.. puts the clips around a perfect circle.. you'll have to
play
with it a bit.
var clipPosition:Number = 0;
function setPosition(p_clip:MovieClip):Void {
clipPosition += 60;
var r:Number = clipPosition*Math.PI/180;
var d:Number = 80;
if (r/Math.PI*180760) {
r += 180;
d += 155;
clipPosition -= 41;
} else if (r/Math.PI*180360) {
d += 80;
clipPosition -= 30;
}
p_clip._x = Math.cos(R)*d;
p_clip._y = Math.sin(R)*d;
}
for (var i = 0; i20; i++) {
var clip = this.attachMovie(clip, clip_+i, i);
setPosition(clip);
}
Cheers,
Ryan
On 3/16/06, Merrill, Jason [EMAIL PROTECTED] wrote:
Would anyone have a function, class, formula, idea whatever that
would
allow me to calculate X and Y values to place an n number of movie
clips evenly spaced around an ellipse/oval shape? The number of
clips
can vary based on external data. The ellipse would also have to be
calculated I suppose, but not actually drawn - the representation of
it
would be a separate graphic.
I found the algebraic formula for an ellipse on a Cartesian plane to
be:
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
But no idea how to make a translation to my problem.
Thanks!
Jason Merrill | E-Learning Solutions | icfconsulting.com
NOTICE:
This message is for the designated recipient only and may contain
privileged or confidential information. If you have received it in
error,
please notify the sender immediately and delete the original. Any
other use
of this e-mail by you is prohibited.
___
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http://chattyfig.figleaf.com/mailman/listinfo/flashcoders
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http://www.figleaf.com
http://training.figleaf.com
___
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To change your subscription options or search the archive:
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Re: [Flashcoders] Position objects evenly around ellipse
heres a js library has an oval function... might be of some use to get
you going
http://www.walterzorn.com/jsgraphics/jsgraphics_e.htm
Thanks very much Ryan - looks like a good start - I can use maybe a
little of that, but an ellipse is also mathematically quite different,
and I'm not sure how I would go about modifying your example to fit an
ellipse shape.
Plus, it seems (though I haven't tested it) you are hard coding values
in there, assuming there are 20 clips and thus have hard coded values
such as 41 80, so that determines the spacing - I need a function that
will dynamically spread them out evenly, not knowing how many there will
be. But seriously, thanks very much, for sending what you did. I'm
just not mathematically adept enough to translate that to my problem.
Other ideas?
Jason Merrill | E-Learning Solutions | icfconsulting.com
-Original Message-
From: [EMAIL PROTECTED] [mailto:flashcoders-
[EMAIL PROTECTED] On Behalf Of Ryan Matsikas
Sent: Thursday, March 16, 2006 7:01 PM
To: Flashcoders mailing list
Subject: Re: [Flashcoders] Position objects evenly around ellipse
I have some code I used in a project todo a similiar idea.. this
should get
you started.. puts the clips around a perfect circle.. you'll have to
play
with it a bit.
var clipPosition:Number = 0;
function setPosition(p_clip:MovieClip):Void {
clipPosition += 60;
var r:Number = clipPosition*Math.PI/180;
var d:Number = 80;
if (r/Math.PI*180760) {
r += 180;
d += 155;
clipPosition -= 41;
} else if (r/Math.PI*180360) {
d += 80;
clipPosition -= 30;
}
p_clip._x = Math.cos(R)*d;
p_clip._y = Math.sin(R)*d;
}
for (var i = 0; i20; i++) {
var clip = this.attachMovie(clip, clip_+i, i);
setPosition(clip);
}
Cheers,
Ryan
On 3/16/06, Merrill, Jason [EMAIL PROTECTED] wrote:
Would anyone have a function, class, formula, idea whatever that
would
allow me to calculate X and Y values to place an n number of movie
clips evenly spaced around an ellipse/oval shape? The number of
clips
can vary based on external data. The ellipse would also have to be
calculated I suppose, but not actually drawn - the representation of
it
would be a separate graphic.
I found the algebraic formula for an ellipse on a Cartesian plane to
be:
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
But no idea how to make a translation to my problem.
Thanks!
Jason Merrill | E-Learning Solutions | icfconsulting.com
NOTICE:
This message is for the designated recipient only and may contain
privileged or confidential information. If you have received it in
error,
please notify the sender immediately and delete the original. Any
other use
of this e-mail by you is prohibited.
___
Flashcoders@chattyfig.figleaf.com
To change your subscription options or search the archive:
http://chattyfig.figleaf.com/mailman/listinfo/flashcoders
Brought to you by Fig Leaf Software
Premier Authorized Adobe Consulting and Training
http://www.figleaf.com
http://training.figleaf.com
___
Flashcoders@chattyfig.figleaf.com
To change your subscription options or search the archive:
http://chattyfig.figleaf.com/mailman/listinfo/flashcoders
Brought to you by Fig Leaf Software
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http://www.figleaf.com
http://training.figleaf.com
___
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To change your subscription options or search the archive:
http://chattyfig.figleaf.com/mailman/listinfo/flashcoders
Brought to you by Fig Leaf Software
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http://training.figleaf.com
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