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	<title>BrickEngineer: LEGO Design &#187; &#187; Geometry</title>
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	<description>LEGO Engineering for LEGO NXT and Robot Enthusiasts</description>
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		<title>The Blossoming Lotus: LEGO Kinetic Art</title>
		<link>http://www.brickengineer.com/pages/2008/11/07/the-blossoming-lotus-lego-kinetic-art/</link>
		<comments>http://www.brickengineer.com/pages/2008/11/07/the-blossoming-lotus-lego-kinetic-art/#comments</comments>
		<pubDate>Sat, 08 Nov 2008 00:17:04 +0000</pubDate>
		<dc:creator><![CDATA[admin]]></dc:creator>
				<category><![CDATA[Art]]></category>
		<category><![CDATA[Design]]></category>
		<category><![CDATA[animation]]></category>
		<category><![CDATA[circle]]></category>
		<category><![CDATA[construction]]></category>
		<category><![CDATA[creation]]></category>
		<category><![CDATA[Geometry]]></category>
		<category><![CDATA[Hoberman]]></category>
		<category><![CDATA[instructions]]></category>
		<category><![CDATA[LEGO]]></category>
		<category><![CDATA[LEGO mindstorms]]></category>
		<category><![CDATA[MLCAD]]></category>
		<category><![CDATA[parts]]></category>
		<category><![CDATA[projects]]></category>
		<category><![CDATA[sphere]]></category>

		<guid isPermaLink="false">http://www.brickengineer.com/pages/?p=38</guid>
		<description><![CDATA[I call this creation The Blossoming Lotus.  It was originally posted on Online Cortex, but I have decided to repost it here because its just plain fun. Basically it is a large 2D version of a Hoberman sphere. Why did I not make a large Hoberman sphere? First, the parts to make the circle cost [&#8230;]]]></description>
				<content:encoded><![CDATA[<p>I call this creation The Blossoming Lotus.  It was originally posted on <a href="http://www.huginn.com/knuth/blog/2007/05/10/the-blossoming-lotus/">Online Cortex</a>, but I have decided to repost it here because its just plain fun. Basically it is a large 2D version of a <a href="http://www.hoberman.com/fold/Sphere/sphere.htm" target="_blank">Hoberman sphere</a>.  Why did I not make a large Hoberman sphere?  First, the parts to make the circle cost almost $80 US.  Second, I have other more pressing projects I am working on.</p>
<div id="attachment_39" style="width: 360px" class="wp-caption aligncenter"><a href="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/blossoming-lotus-anim.gif"><img class="size-full wp-image-39" title="blossoming-lotus-anim" src="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/blossoming-lotus-anim.gif" alt="The Blossoming Lotus Kinetic Art" width="350" height="260" /></a><p class="wp-caption-text">The Blossoming Lotus Kinetic Art</p></div>
<p>It is about 4 feet in diameter when completely extended and is pretty impressive.  Its relatively easy to make.  My design consists of constructing each petal with two interlocking pieces: a single-claw arm and a double-claw arm.  The parts needed to make the two arms are illustrated below.</p>
<div id="attachment_40" style="width: 360px" class="wp-caption aligncenter"><a href="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/lotus-parts.png"><img class="size-full wp-image-40" title="lotus-parts" src="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/lotus-parts.png" alt="Parts for a Single Lotus Petal" width="350" height="262" /></a><p class="wp-caption-text">Parts for a Single Lotus Petal</p></div>
<p>To make the entire circle of petals, one needs 20 copies of each petal.  The job then is to put them all together.  I will post detailed instructions on a website in the near future.  For now, here is a closeup of the blossom when completed.</p>
<div id="attachment_41" style="width: 310px" class="wp-caption aligncenter"><a href="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/lotus_close-up_small.png"><img class="size-medium wp-image-41" title="lotus_close-up_small" src="http://www.brickengineer.com/pages/wp-content/uploads/2008/11/lotus_close-up_small-300x225.png" alt="Close Up of the Lotus Blossom" width="300" height="225" /></a><p class="wp-caption-text">Close Up of the Lotus Blossom</p></div>
<p>And of course, the project wouldn&#8217;t be complete without that animation above made with <a href="http://www.lm-software.com/mlcad/" target="_blank">MLCAD</a>, <a href="http://l3pao.malagraphixia.com/" target="_blank">L3PAO</a>, and <a href="http://www.povray.org/" target="_blank">POV Ray</a>.  The animation was straightforward&#8212;once you get the geometry right (which is not straightforward).  I will post a lesson on the geometry and the animation of this creation in the future as well.  For now, enjoy.</p>
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		<title>LEGO Triangles</title>
		<link>http://www.brickengineer.com/pages/2007/10/10/lego-triangles/</link>
		<comments>http://www.brickengineer.com/pages/2007/10/10/lego-triangles/#comments</comments>
		<pubDate>Wed, 10 Oct 2007 06:36:17 +0000</pubDate>
		<dc:creator><![CDATA[admin]]></dc:creator>
				<category><![CDATA[Constructs]]></category>
		<category><![CDATA[Geometry]]></category>
		<category><![CDATA[equilateral]]></category>
		<category><![CDATA[LEGO]]></category>
		<category><![CDATA[Robotics]]></category>
		<category><![CDATA[toys]]></category>
		<category><![CDATA[triangle]]></category>

		<guid isPermaLink="false">http://www.brickengineer.com/pages/2007/10/10/lego-triangles/</guid>
		<description><![CDATA[LEGOs are designed to go together to form rectangles.  Here I present some possibilities for equilateral triangles, which can be extended to form hexagons.  Some of the more recent triangle designs, which I present below are being used in a current design for a tri-wheel drive system for a Mindstorms rover I am currently constructing. [&#8230;]]]></description>
				<content:encoded><![CDATA[<p>LEGOs are designed to go together to form rectangles.  Here I present some possibilities for equilateral triangles, which can be extended to form hexagons.  Some of the more recent triangle designs, which I present below are being used in a current design for a tri-wheel drive system for a Mindstorms rover I am currently constructing.</p>
<p>These first triangular designs are equilateral triangles (same side lengths), and can be put together to form hexagons as well.  These are extremely sturdy constructs and may find use in triangular or hexagonal bases.</p>
<p>Below is the smallest LEGO equilateral triangle.  The parts used to construct it are shown to the right.  It often takes a bit of pressure to snap this together since it is a tight fit, so take care when doing so.</p>
<p><img src="http://BrickEngineer.com/pages/anims/constructs/small-triangle-anim.gif" /></p>
<p>One can make equilateral triangles of any size this way.</p>
<p><img src="http://BrickEngineer.com/pages/pics/geometry/big-triangle.png" alt="Big Triangle" /></p>
<p>If the connectors are a bit cluncky,<br />
one can use the thin technic liftarms with the small axles to secure the triangle.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/pics/geometry/alt-triangle-5-parts.png" alt="Alternate Triangle Design" height="240" /></p>
<p>Here is a rotating image of the result so you can get a good look.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/anims/constructs/anim-alt-tri-5.gif" alt="Alternate Triangle Design" height="240" /></p>
<p>The two following designs are slightly alternate forms.<br />
One uses beams of length 11, but is offset slightly so that there are empty peg holes at the corners of the equilateral triangle.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/pics/geometry/triangle-11.png" alt="Alternate Triangle Design" height="240" /></p>
<p>The following design uses beams of length 9, and lacks holes at the triangle corners.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/pics/geometry/triangle-9.png" alt="Alternate Triangle Design" height="240" /></p>
<p>The following triangle is composed of beams of length 11, and has a a 3-blade rotor in the center to act as an axle.  The <a href="http://www.brickengineer.com/pages/instructions/triangle-11-with-center-instructions.pdf">parts list and instructions can be found here</a>.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/pics/geometry/triangle-11-with-center-still.png" alt="Equilateral Triangle with Axle" height="240" /></p>
<p>An animated version illustrates how the braces hold the central rotor in place.</p>
<p><img border="0" align="middle" width="320" src="http://BrickEngineer.com/pages/anims/constructs/triangle-11-with-center-ani.gif" alt="Equilateral Triangle with Axle" height="240" /></p>
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		<slash:comments>9</slash:comments>
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