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    <title>GrainOfSand : synergetics   </title>
    <link>http://www.4dsolutions.net/cgi-bin/blog/synergetics</link>
    <description></description>
    <language>en</language>
<item>
    <title>Russell&apos;s Packing</title>
    <link>http://www.4dsolutions.net/cgi-bin/blog/synergetics/russpack.html</link>
    <description>
&lt;div class=&quot;document&quot;&gt;
&lt;p&gt;&lt;img align=&quot;left&quot; alt=&quot;supplies1&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/supplies1.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;OK, so for some weeks now Russ has been sending me excerpts from 
this dialog he&apos;s been having with Tim Cox.  Last time he called, I was 
riding a 30 mile loop, training for the STP, and by the time our 
chat turned to synergetics, the trucks were whizzing by at close 
range, and I couldn&apos;t concentrate.&lt;/p&gt;
&lt;p&gt;So tonight (that would be Monday night -- blog entries after midnight, 
so Tuesday) I decided to get to the bottom of what he&apos;s been talking 
about and called him to request a simple explanation -- which I got, 
and summarize as a project (which I undertook soon after our conversation).&lt;/p&gt;
&lt;p&gt;First, I went to Freddie&apos;s (local supermarket) and bought these supplies: 
marbles (pack of 0.75 for $2.99), superglue that works with glass, some 
clay to hold the marbles in place.&lt;/p&gt;
&lt;p&gt;&lt;img align=&quot;right&quot; alt=&quot;supplies2&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/supplies2.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;Next, I glued marbles into tetrahedral clusters.  What Russ has been 
telling me is you can build the CCP (= IVM = FCC) just with these 
clusters, and no other assembly.  It&apos;s like they&apos;re space-fillers, 
although we&apos;re not talking about solids here, but agglomerations of 
spheres that complete the IVM.  We&apos;ve been overlooking this simple 
solution:  just build it will all-regular-tetrahedral clusters.&lt;/p&gt;
&lt;p&gt;OK, so here you see the clusters.&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;clusters&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/tetrahedra.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;Then I make a base as per Russ&apos;s instructions, and fill it with an 
inverted tet (pointing down).&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;base&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/base.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;fillbase&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/fillbase.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;I started with lighter and darker colored clusters, so I could distinguish 
up from down, but the marbles really weren&apos;t balanced that way in the 
baggies I got, so the coloring scheme broke down towards the end.&lt;/p&gt;
&lt;p&gt;Another tetrahedral cluster on top completes the 3-frequency tet.&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;3freq&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/3freq.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;It didn&apos;t take long to expand out to 4-frequency.&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;4freqa&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/4freqa.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;&lt;img alt=&quot;4freqb&quot; src=&quot;http://www.4dsolutions.net/blog/entries/synergetics/4freqb.jpg&quot; /&gt;&lt;/p&gt;
&lt;p&gt;Thank you Russ, I understand now what you were saying.&lt;/p&gt;
&lt;/div&gt;
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