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	<title>benwatts.ca &#187; sunflower</title>
	<atom:link href="http://benwatts.ca/tag/sunflower/feed/" rel="self" type="application/rss+xml" />
	<link>http://benwatts.ca</link>
	<description>Designer and Frontend Developer in Ottawa, Canada</description>
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		<title>Sunflowers, Spirals, Flash</title>
		<link>http://benwatts.ca/2009/sunflowers-spirals-flash/</link>
		<comments>http://benwatts.ca/2009/sunflowers-spirals-flash/#comments</comments>
		<pubDate>Sun, 28 Jun 2009 13:44:01 +0000</pubDate>
		<dc:creator>Ben</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[experiment]]></category>
		<category><![CDATA[Flash]]></category>
		<category><![CDATA[generator]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[sunflower]]></category>

		<guid isPermaLink="false">http://www.benwatts.ca/?p=472</guid>
		<description><![CDATA[Recently a project came up that had the potential to use an abstract sunflower as a lovely motif. After looking into it a bit, there happened to be an equation describing the arrangement of seeds in a sunflower. The equations looked fairly straightforward, but I&#8217;m no math wizard and had no idea to figure out [...]]]></description>
			<content:encoded><![CDATA[<p>Recently a project came up that had the potential to use an abstract sunflower as a lovely motif. After looking into it a bit, there happened to be an <a href="http://en.wikipedia.org/wiki/Sunflower#Mathematical_model_of_floret_arrangement">equation describing the arrangement of seeds in a sunflower</a>. The equations looked fairly straightforward, but I&#8217;m no math wizard and had no idea to figure out the x and y coordinates of the &#8216;seeds&#8217;, but lucky for me I happen to sit across from <a title="Rob Villeneuve" href="http://deletedtheory.com/blog/">someone</a> who knows what the hell they&#8217;re doing and as a result I have a simple sunflower generator:</p>
<div id="sunflower-placeholder">To view this content, JavaScript must be enabled, and you need the latest version of the <a href="http://get.adobe.com/flashplayer/">Adobe Flash Player</a>.</div>
<p><script type="text/javascript">
                    // <![CDATA[
                    var flashvars = {};
                    var params = {}
                    var attributes = {};
                    swfobject.embedSWF("/wp-content/uploads/2009/06/Sunflower.swf", "sunflower-placeholder", "560", "460", "9.0.0", false, flashvars, params, attributes);
                    //]]&gt;
</script> </p>
<p><span id="more-472"></span></p>
<h3>The Code</h3>
<p>You will need to have a Slider component in your library for this to compile (or remove all references to the slider until it compiles). If you&#8217;re into this type of thing then definitely play around with the constant scaling factor, max number of seeds, and the golden ratio number in the angle (137.5).</p>
<div class="codecolorer-container actionscript3 default" style="overflow:auto;white-space:nowrap;border:1px solid #9F9F9F;width:435px;height:300px;"><div class="actionscript3 codecolorer" style="padding:5px;font:normal 12px/1.4em Monaco, Lucida Console, monospace;white-space:nowrap"><span style="color: #3f5fbf;">/** <br />
&nbsp;* Sunflower Generator <br />
&nbsp;* June 28, 2009 <br />
&nbsp;*<br />
&nbsp;* @author&nbsp; &nbsp; &nbsp; Ben Watts<br />
&nbsp;* @url &nbsp; &nbsp; &nbsp; &nbsp; http://www.benwatts.ca/<br />
&nbsp;* @post&nbsp; &nbsp; &nbsp; &nbsp; http://www.benwatts.ca/2009/06/28/sunflowers-spirals-flash/<br />
&nbsp;**/</span><br />
<br />
<span style="color: #9900cc; font-weight: bold;">package</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; <br />
&nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">import</span> <span style="color: #004993;">flash.display</span><span style="color: #000066; font-weight: bold;">.*;</span><br />
&nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">import</span> fl<span style="color: #000066; font-weight: bold;">.</span>controls<span style="color: #000066; font-weight: bold;">.</span>Slider<span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">import</span> fl<span style="color: #000066; font-weight: bold;">.</span>events<span style="color: #000066; font-weight: bold;">.</span>SliderEvent<span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; <br />
&nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">public</span> <span style="color: #9900cc; font-weight: bold;">class</span> Sunflower <span style="color: #0033ff; font-weight: bold;">extends</span> <span style="color: #004993;">MovieClip</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> maxSeeds<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = <span style="color: #000000; font-weight:bold;">9000</span><span style="color: #000066; font-weight: bold;">;</span> &nbsp;<span style="color: #009900; font-style: italic;">// # of seeds</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> <span style="color: #004993;">c</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = <span style="color: #000000; font-weight:bold;">4</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// constant scaling factor (distance btw seeds)</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> <span style="color: #004993;">angle</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = <span style="color: #000000; font-weight:bold;">0</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">public</span> <span style="color: #339966; font-weight: bold;">function</span> Sunflower<span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; drawSunflower<span style="color: #000000;">&#40;</span><span style="color: #000066; font-weight: bold;">.</span>1<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// start with something </span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> slider<span style="color: #000066; font-weight: bold;">:</span>Slider = <span style="color: #0033ff; font-weight: bold;">new</span> Slider<span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span>liveDragging = <span style="color: #0033ff; font-weight: bold;">true</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span>minimum = <span style="color: #000000; font-weight:bold;">1</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span>setSize<span style="color: #000000;">&#40;</span><span style="color: #000000; font-weight:bold;">150</span><span style="color: #000066; font-weight: bold;">,</span> <span style="color: #000000; font-weight:bold;">5</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">x</span> = <span style="color: #004993;">stage</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">stageWidth</span> <span style="color: #000066; font-weight: bold;">-</span> slider<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">width</span> <span style="color: #000066; font-weight: bold;">-</span> <span style="color: #000000; font-weight:bold;">10</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">y</span> = <span style="color: #000000; font-weight:bold;">10</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; slider<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">addEventListener</span><span style="color: #000000;">&#40;</span>SliderEvent<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">CHANGE</span><span style="color: #000066; font-weight: bold;">,</span> sliderChange<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #004993;">addChild</span><span style="color: #000000;">&#40;</span>slider<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #000000;">&#125;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #3f5fbf;">/**<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;* Event handler, whenever the slider's value changes <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;* @param &nbsp; &nbsp; &nbsp; e &nbsp; - SliderEvent<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;*/</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">private</span> <span style="color: #339966; font-weight: bold;">function</span> sliderChange<span style="color: #000000;">&#40;</span>e<span style="color: #000066; font-weight: bold;">:</span>SliderEvent<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #0033ff; font-weight: bold;">void</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; drawSunflower<span style="color: #000000;">&#40;</span>e<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">value</span><span style="color: #000066; font-weight: bold;">/</span><span style="color: #000000; font-weight:bold;">10</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// returns value btw 1.0 and 10.0</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #000000;">&#125;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #3f5fbf;">/**<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;* Draws the sunflower. <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;*<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;*&nbsp; @param &nbsp;&nbsp; &nbsp; value &nbsp; - the % of the max number of seeds that are set to be drawn. Expects a float 0 - 1.0<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;*/</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">private</span> <span style="color: #339966; font-weight: bold;">function</span> drawSunflower<span style="color: #000000;">&#40;</span><span style="color: #004993;">value</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #0033ff; font-weight: bold;">void</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> n<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = <span style="color: #000000; font-weight:bold;">0</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// current seed</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> numSeeds<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = maxSeeds <span style="color: #000066; font-weight: bold;">*</span> <span style="color: #004993;">value</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// how many seeds should be made</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">try</span> <span style="color: #000000;">&#123;</span> <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #004993;">removeChild</span><span style="color: #000000;">&#40;</span><span style="color: #004993;">getChildByName</span><span style="color: #000000;">&#40;</span><span style="color: #990000;">'seed-container'</span><span style="color: #000000;">&#41;</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #000000;">&#125;</span> <span style="color: #0033ff; font-weight: bold;">catch</span><span style="color: #000000;">&#40;</span>e<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Error</span><span style="color: #000000;">&#41;</span><span style="color: #000000;">&#123;</span> <span style="color: #009966; font-style: italic;">/* this makes me a terrible person, i know. */</span> <span style="color: #000000;">&#125;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> container<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">MovieClip</span> = <span style="color: #0033ff; font-weight: bold;">new</span> <span style="color: #004993;">MovieClip</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; container<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">name</span> = <span style="color: #990000;">'seed-container'</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #004993;">addChild</span><span style="color: #000000;">&#40;</span>container<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
<br />
<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #0033ff; font-weight: bold;">for</span><span style="color: #000000;">&#40;</span> n<span style="color: #000066; font-weight: bold;">;</span> n <span style="color: #000066; font-weight: bold;">&lt;</span> numSeeds<span style="color: #000066; font-weight: bold;">;</span> n<span style="color: #000066; font-weight: bold;">++</span> <span style="color: #000000;">&#41;</span><span style="color: #000000;">&#123;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> seed<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Sprite</span> = <span style="color: #0033ff; font-weight: bold;">new</span> <span style="color: #004993;">Sprite</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; seed<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">graphics</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">beginFill</span><span style="color: #000000;">&#40;</span>0xff0000 <span style="color: #000066; font-weight: bold;">-</span> <span style="color: #000000;">&#40;</span>n<span style="color: #000066; font-weight: bold;">*</span><span style="color: #000000; font-weight:bold;">15</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">,</span> <span style="color: #000000; font-weight:bold;">1.0</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span> <span style="color: #009900; font-style: italic;">// messing with seed colour, don't really know what i'm doing ;)</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; seed<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">graphics</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">drawCircle</span><span style="color: #000000;">&#40;</span><span style="color: #000000; font-weight:bold;">0</span><span style="color: #000066; font-weight: bold;">,</span><span style="color: #000000; font-weight:bold;">0</span><span style="color: #000066; font-weight: bold;">,</span><span style="color: #000000; font-weight:bold;">2</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; seed<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">graphics</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">endFill</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> r<span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = <span style="color: #004993;">c</span> <span style="color: #000066; font-weight: bold;">*</span> <span style="color: #004993;">Math</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">sqrt</span><span style="color: #000000;">&#40;</span>n<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #6699cc; font-weight: bold;">var</span> <span style="color: #004993;">angle</span><span style="color: #000066; font-weight: bold;">:</span><span style="color: #004993;">Number</span> = n <span style="color: #000066; font-weight: bold;">*</span> <span style="color: #000000; font-weight:bold;">137.5</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; seed<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">x</span> = r <span style="color: #000066; font-weight: bold;">*</span> <span style="color: #004993;">Math</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">sin</span><span style="color: #000000;">&#40;</span><span style="color: #004993;">angle</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; seed<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">y</span> = r <span style="color: #000066; font-weight: bold;">*</span> <span style="color: #004993;">Math</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">cos</span><span style="color: #000000;">&#40;</span><span style="color: #004993;">angle</span><span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; container<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">addChild</span><span style="color: #000000;">&#40;</span>seed<span style="color: #000000;">&#41;</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #000000;">&#125;</span><br />
<br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #009900; font-style: italic;">// centre on the stage</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; container<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">x</span> <span style="color: #000066; font-weight: bold;">+</span>= <span style="color: #004993;">stage</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">stageWidth</span><span style="color: #000066; font-weight: bold;">/</span><span style="color: #000000; font-weight:bold;">2</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; container<span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">y</span> <span style="color: #000066; font-weight: bold;">+</span>= <span style="color: #004993;">stage</span><span style="color: #000066; font-weight: bold;">.</span><span style="color: #004993;">stageHeight</span><span style="color: #000066; font-weight: bold;">/</span><span style="color: #000000; font-weight:bold;">2</span><span style="color: #000066; font-weight: bold;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #000000;">&#125;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; &nbsp; &nbsp; <br />
&nbsp; &nbsp; <span style="color: #000000;">&#125;</span><br />
&nbsp; &nbsp; <br />
<span style="color: #000000;">&#125;</span></div></div>
]]></content:encoded>
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		</item>
	</channel>
</rss>

