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    <title>topic Re: 15 spheres in the cube. in Mathcad</title>
    <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923142#M209993</link>
    <description>&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 751px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96136iF24B22E6BA464528/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
    <pubDate>Thu, 11 Jan 2024 12:10:33 GMT</pubDate>
    <dc:creator>ttokoro</dc:creator>
    <dc:date>2024-01-11T12:10:33Z</dc:date>
    <item>
      <title>15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/922041#M209941</link>
      <description>&lt;P&gt;You have 15 spheres with d=1. Put all spheres in the box which has 2.6 length for each edge.&lt;BR /&gt;If you add new sphere, you make the new world records. It only fills 44.7% of the box!&lt;/P&gt;
&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 273px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95763i35AF9070B02D31E2/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 457px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95769i8D2BB21308438120/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 639px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95770iC1940E82D2146B3B/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 434px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95771i03A632641CF497A7/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 168px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95768i6DE6CA25D1BB954D/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Sun, 07 Jan 2024 02:37:43 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/922041#M209941</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-07T02:37:43Z</dc:date>
    </item>
    <item>
      <title>Re: 15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/922048#M209942</link>
      <description>&lt;P&gt;&lt;SPAN&gt;You have 66 spheres with d=1. Put all spheres in the box which has 4 length for each edge.&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;If you add new sphere, you make the new world records. It only fills 54% of the box!&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 604px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95777i441302CDBC3304B4/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt; &lt;/P&gt;
&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 327px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95773i8C20C133B1CB015E/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 632px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95774i8F6F450C763374A1/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 414px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/95775iB3E86634BD88E221/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
      <pubDate>Sun, 07 Jan 2024 02:59:02 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/922048#M209942</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-07T02:59:02Z</dc:date>
    </item>
    <item>
      <title>Re: 15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923116#M209989</link>
      <description>&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 262px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96123i9702D1A457C4F8AD/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 937px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96124i03B72F397326C006/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
      <pubDate>Thu, 11 Jan 2024 11:36:03 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923116#M209989</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-11T11:36:03Z</dc:date>
    </item>
    <item>
      <title>Re: 15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923121#M209990</link>
      <description>&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 114px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96126iEE09FE1636881657/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 999px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96127i02B28B80A9C1E565/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
      <pubDate>Thu, 11 Jan 2024 11:38:46 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923121#M209990</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-11T11:38:46Z</dc:date>
    </item>
    <item>
      <title>Re: 15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923132#M209991</link>
      <description>&lt;P&gt;The answer of 64 balls. How to plot 3D all 64 balls without traces for ball to ball is a good try.&lt;/P&gt;
&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 506px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96128i3CFB31E2F2A3B7F5/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 750px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96129i882CFF82FDE0703C/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 485px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96130i337121FAF8B67A15/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 581px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96131i98EDB4232881E329/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 787px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96132i5E373F4D7D0C57A9/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 787px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96133i0B0C3634216CA9E5/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
      <pubDate>Thu, 11 Jan 2024 11:49:58 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923132#M209991</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-11T11:49:58Z</dc:date>
    </item>
    <item>
      <title>Re: 15 spheres in the cube.</title>
      <link>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923142#M209993</link>
      <description>&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 751px;"&gt;&lt;img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/96136iF24B22E6BA464528/image-size/large?v=v2&amp;amp;px=999" role="button" title="image.png" alt="image.png" /&gt;&lt;/span&gt;&lt;/P&gt;</description>
      <pubDate>Thu, 11 Jan 2024 12:10:33 GMT</pubDate>
      <guid>https://www.ptcusercommunity.com/t5/Mathcad/15-spheres-in-the-cube/m-p/923142#M209993</guid>
      <dc:creator>ttokoro</dc:creator>
      <dc:date>2024-01-11T12:10:33Z</dc:date>
    </item>
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