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	<title>&#34;me no big chief ... &#187; 4 dimension</title>
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		<title>Crucifixion (Corpus Hypercubus) -</title>
		<link>http://littleindian.awmyth.net/2008/09/17/crucifixion-corpus-hypercubus-by-salvador-dali/</link>
		<comments>http://littleindian.awmyth.net/2008/09/17/crucifixion-corpus-hypercubus-by-salvador-dali/#comments</comments>
		<pubDate>Wed, 17 Sep 2008 21:18:19 +0000</pubDate>
		<dc:creator>littleindian</dc:creator>
				<category><![CDATA[Aesthetics]]></category>
		<category><![CDATA[4 dimension]]></category>
		<category><![CDATA[paintings]]></category>
		<category><![CDATA[Salvador Dali]]></category>

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		<description><![CDATA[-by Salvador Dalí &#160; Those catch-my-breath moments when I see or hear for the first time things that makes me stop, step back and simply go into a wow-filled silence. This is a painting I have always held in awe. I have looked at it many times, feeling there was more to it, with the [...]]]></description>
			<content:encoded><![CDATA[<h2> -by Salvador Dalí</h2>
<p align="center">&nbsp;</p>
<p>Those catch-my-breath moments when I see or hear for the first time<br />
things that makes me stop, step back and simply go into a<br />
wow-filled silence.</p>
<p>This is a painting I have always held in awe.<br />
I have looked at it many times, feeling there was more to it,<br />
with the feeling that I was on the verge of an elusive understanding…</p>
<blockquote><p><center><br />
<img class="alignnone" title="Crucifixion Hypercube - Dali" src="http://upload.wikimedia.org/wikipedia/en/thumb/0/09/Dali_Crucifixion_hypercube.jpg/300px-Dali_Crucifixion_hypercube.jpg" alt="" width="300" height="471" vspace="10" border="0" /></p>
<p><font color="#D59D69">Crucifixion (Corpus <a title="Hypercube" href="http://en.wikipedia.org/wiki/Hypercube">Hypercubus</a>)</font> was painted in 1954 by <a title="Salvador Dalí" href="http://en.wikipedia.org/wiki/Salvador_Dal%C3%AD">Salvador Dalí</a>,<br />
and depicts the crucified Jesus upon the net of a <a title="Hypercube" href="http://en.wikipedia.org/wiki/Hypercube">hypercube</a>. <a title="Gala Dalí" href="http://en.wikipedia.org/wiki/Gala_Dal%C3%AD"><br />
Gala</a> (Dalí&#8217;s wife), is the figure in the bottom left, who stands looking up to the crucified Jesus. The scene is depicted in front of the Bay of Port Lligat</center></p></blockquote>
<p>Till I had spent an <a href="http://littleindian.awmyth.net/?p=65" target="_blank">entire weekend</a><br />
struggling to think laterally, literally in right angles<br />
or as learned mathematicians would call it, along <a href="http://en.wikipedia.org/wiki/Orthogonality" target="_blank">orthogonals</a>.</p>
<p>With the knowledge of how a <a href="http://en.wikipedia.org/wiki/Tesseract#Unfolding_the_tesseract" target="_blank">hypercube opens up into a tesseract</a><br />
in the fourth spatial dimension, I think I understand why &#8211;<br />
the crucifix is a structure floating in 4D<br />
while everything else on the painting is in the 3D<br />
and there is no physical point of contact between the body of Jesus and the cross.</p>
<p><span style="color: #d59d69;">Dali, with his genius, in his painting has opened out the scene of the crucifiction<br />
into the fourth dimension<br />
and maybe beyond.</span></p>
<p style="text-align:center;">&nbsp;</p>
<p><a rel="tag" href="http://technorati.com/tag/Salvador+Dali"><img style="border:0 none;vertical-align:middle;margin-left:0.4em;" src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Salvador+Dali" alt=" " />Salvador Dali</a><a rel="tag" href="http://technorati.com/tag/Crucifixion"><img style="border:0 none;vertical-align:middle;margin-left:0.4em;" src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Crucifixion" alt=" " />Crucifixion</a><a rel="tag" href="http://technorati.com/tag/fourth+dimension"><img style="border:0 none;vertical-align:middle;margin-left:0.4em;" src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=fourth+dimension" alt=" " />fourth dimension</a><a rel="tag" href="http://technorati.com/tag/paintings"><img style="border:0 none;vertical-align:middle;margin-left:0.4em;" src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=paintings" alt=" " />paintings</a><a rel="tag" href="http://technorati.com/tag/littleindian"><img style="border:0 none;vertical-align:middle;margin-left:0.4em;" src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=littleindian" alt=" " />littleindian</a></p>
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		</item>
		<item>
		<title>of hypercubes and tesseracts&#8230;</title>
		<link>http://littleindian.awmyth.net/2007/07/23/of-hypercubes-and-tesseracts/</link>
		<comments>http://littleindian.awmyth.net/2007/07/23/of-hypercubes-and-tesseracts/#comments</comments>
		<pubDate>Mon, 23 Jul 2007 12:59:51 +0000</pubDate>
		<dc:creator>littleindian</dc:creator>
				<category><![CDATA[History]]></category>
		<category><![CDATA[4 dimension]]></category>
		<category><![CDATA[Doctor Who]]></category>

		<guid isPermaLink="false">http://awmyth.wordpress.com/2007/07/23/of-hypercubes-and-tesseracts/</guid>
		<description><![CDATA[How does Doctor Who Mad Eye Moody and Salvadore Dali come together into a blog! Because I spent an entire weekend struggling to think laterally, literally in right angles or as learned mathematicians would call it, along orthogonals. Before you think i have gone completely bonkers, (tell me something I do not already know! ) [...]]]></description>
			<content:encoded><![CDATA[<p>How does<br />
Doctor Who<br />
Mad Eye Moody<br />
and Salvadore Dali<br />
come together into a blog!</p>
<p>Because I spent an entire weekend<br />
struggling to think laterally, literally in right angles<br />
or as learned mathematicians would call it, along <a href="http://en.wikipedia.org/wiki/Orthogonality" title="Orthogonals" target="_blank">orthogonals</a>.</p>
<p>Before you think i have gone completely bonkers,<br />
(tell me something I do not already know! <img src='http://littleindian.awmyth.net/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' />  )<br />
I assure you, I no longer have interest<br />
in any form of mathematics.</p>
<p>I was only trying to understand how and why<br />
the Doctor&#8217;s <a href="http://awmyth.wordpress.com/2007/07/22/a-space-time-hopper-that/" title="a spacetime hopper! that?" target="_blank">TARDIS looks bigger on the inside</a>. Honest.<br />
I found it was a bit of &#8216;space&#8217; which was beyond our three dimensions<br />
the result of Time Lords&#8217; transdimensional engineering.<br />
It is a <a href="http://en.wikipedia.org/wiki/Hypercube" title="Hypercube" target="_blank">hypercube</a>,</p>
<blockquote><p>&#8220;which is a &#8220;closed, compact, convex figure consisting of groups of opposite <a href="http://en.wikipedia.org/wiki/Parallel_%28geometry%29" title="Parallel (geometry)">parallel</a> <a href="http://en.wikipedia.org/wiki/Line_segment" title="Line segment">line segments</a> aligned in each of the space&#8217;s <a href="http://en.wikipedia.org/wiki/Dimension" title="Dimension">dimensions</a>, at right angles to each other&#8221;&#8230;</p></blockquote>
<p>And I agreed. (I am not going to argue with the learned mathematicians).</p>
<p style="text-align:center;"><a href="http://littleindian.awmyth.net/?attachment_id=293" rel="attachment wp-att-293" title="hypercube.png"><img src="http://littleindian.awmyth.net/wp-content/uploads/2007/07/hypercube.png" alt="hypercube.png" height="90" width="312" /></a></p>
<p>Take:<br />
a point and move it, you get a line;<br />
a line and move it at rightangles, you get a surface;<br />
a surface and move it at rightangles, you get a solid;<br />
a solid and move it at rightangles, you reach the realms of hypercubes;<br />
starting with the <a href="http://en.wikipedia.org/wiki/Tesseract">tesseract</a> &#8211; which in geometry,<br />
is the four-dimensional analog of the (three-dimensional) cube.</p>
<p>In muggle terms:<br />
The tesseract is to the cube as the cube is to the square;<br />
as the square is to the straight line as the line is to the point.<br />
You get the point?</p>
<p>The TARDIS has an interior which is voluminous in four or more dimensions.<br />
So did <a href="http://harrypotter.warnerbros.com/madeyemoody/" title="Mad-eye Moody Bio" target="_blank">Mad-eye Moody&#8217;s</a> magical trunk, in which he <a href="http://www.hp-lexicon.org/about/books/gf/book_gf.html" title="Goblet of Fire" target="_blank">himself got imprisoned</a>.</p>
<p>I found an image of a tesseract unfolding (or is it folding) upon itself to</p>
<p style="text-align:center;"><img src="http://upload.wikimedia.org/wikipedia/commons/5/55/Tesseract.gif" alt="Tesseract" height="179" width="179" border="0" /></p>
<p>Feeling suddenly brave, in my new found cleverness, I decided to explore the Tesseract.</p>
<table align="center" width="80%">
<tr>
<td align="left" width="30%"><img src="http://littleindian.awmyth.net/wp-content/uploads/2007/07/hypercubex.png" alt="tesseract folded" hspace="10" /></td>
<td align="right" width="60%"><img src="http://littleindian.awmyth.net/wp-content/uploads/2007/07/tesseractx.png" alt="Tesseract unfolded" hspace="10" vspace="10" /></td>
</tr>
</table>
<p>I found a picture (on left) that projects a tesseract in 2D,<br />
and then unfolds it into its 8 cube components.<br />
It looked like a <a href="http://en.wikipedia.org/wiki/Crucifix" title="Crucifix" target="_blank">crucifix</a>, reminded me of<br />
a very special one.</p>
<p>This is a painting I have always held in awe.<br />
I have looked at it many times, feeling there was more to it,<br />
with the feeling that I was on the verge of an elusive understanding&#8230;</p>
<p>Now I think I do.<br />
Dali, with his genius, in this painting had opened out<br />
the <font color="#d59d69">scene of the crucifiction into the fourth dimension</font> and maybe beyond.</p>
<blockquote>
<p style="text-align:center;"><img src="http://littleindian.awmyth.net/wp-content/uploads/2007/07/dali_crucifixion_hypercube.jpg" alt="dali_crucifixion_hypercube.jpg" height="447" width="284" /></p>
<p style="text-align:center;">&nbsp;</p>
<p style="text-align:center;">The painting <em>Crucifixion (Corpus Hypercubus)</em>, by <a href="http://en.wikipedia.org/wiki/Salvador_Dal%C3%AD" title="Salvador Dal�">Salvador Dalí</a>, 1954,<br />
depicts the crucified <a href="http://en.wikipedia.org/wiki/Jesus" title="Jesus">Jesus</a> upon the net of a hypercube.</p>
</blockquote>
<p>A whole weekend gone to waste?<br />
Not if I can bore you, ahem <img src='http://littleindian.awmyth.net/wp-includes/images/smilies/icon_biggrin.gif' alt=':-D' class='wp-smiley' />  , share this with you.</p>
<p style="text-align:center;">&nbsp;</p>
<p><a href="http://technorati.com/tag/Salvador+Dali" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Salvador+Dali" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />Salvador Dali</a><a href="http://technorati.com/tag/paintings" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=paintings" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />paintings</a><a href="http://technorati.com/tag/fourth+dimension" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=fourth+dimension" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />fourth dimension</a><a href="http://technorati.com/tag/Doctor+Who" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Doctor+Who" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />Doctor Who</a><a href="http://technorati.com/tag/Harry+Potter" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Harry+Potter" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />Harry Potter</a><a href="http://technorati.com/tag/littleindian" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=littleindian" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />littleindian</a></p>
<p style="text-align:center;">&nbsp;</p>
<p style="text-align:center;">&nbsp;</p>
<p style="text-align:center;">&nbsp;</p>
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		</item>
		<item>
		<title>a space-time hopper!! that ?</title>
		<link>http://littleindian.awmyth.net/2007/07/22/a-space-time-hopper-that/</link>
		<comments>http://littleindian.awmyth.net/2007/07/22/a-space-time-hopper-that/#comments</comments>
		<pubDate>Sun, 22 Jul 2007 23:32:53 +0000</pubDate>
		<dc:creator>littleindian</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[4 dimension]]></category>
		<category><![CDATA[Doctor Who]]></category>
		<category><![CDATA[Science Fiction]]></category>
		<category><![CDATA[Travel]]></category>
		<category><![CDATA[Universe]]></category>

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		<description><![CDATA[TARDIS!? A product of Time Lord technology, &#8220;a properly maintained and piloted TARDIS can transport its occupants to any point in time and space&#8221;. That thing, I was to believe, was a time machine and a spacecraft. A TARDIS, Time And Relative Dimension(s) In Space. I simply refused. For by then I had seen the [...]]]></description>
			<content:encoded><![CDATA[<h3><font color="#d59d69"><u>TARDIS!?</u></font></h3>
<p>A product of Time Lord technology,<br />
&#8220;a properly maintained and piloted TARDIS<br />
can transport its occupants to any point in time and space&#8221;.</p>
<p style="text-align:center;"><a href="http://www.bbc.co.uk/doctorwho/gallery/s2_02gallery/1024/tardis_landscape.jpg" title="Tardis" target="_blank"><img src="http://littleindian.awmyth.net/wp-content/uploads/tardis_landscape.jpg" alt="Doctor Who - TARDIS" height="250" vspace="20" width="334" /></a></p>
<p>That thing, I was to believe, was a time machine and a spacecraft.<br />
A <a href="http://www.bbc.co.uk/doctorwho/characters/tardis.shtml" title="Tardis" target="_blank">TARDIS,  Time And Relative Dimension(s) In Space.</a></p>
<p>I simply refused.<br />
For by then I had seen<br />
the proper spacecrafts, the likes of the <a href="http://www.startrek.com/startrek/view/index.html" title="Star Trek">Enterprise</a>.</p>
<p style="text-align: center;">
<table style="width: 600px; margin: 10px auto;">
<tr>
<td><img src="http://upload.wikimedia.org/wikipedia/en/2/2d/ST_TOS_Cast.jpg" alt="enterprise" width="300" /></td>
<td><img src="http://startrek.enterprise.free.fr/pict/tech/bridge.jpg" alt="Bridge NX 1" width="300" /></td>
</tr>
</table>
<p>They had bridges,<br />
elaborate controls panels, flashing coloured lights;<br />
they had warp drives, travelled at speeds greater than light,<br />
had phase cannons and photonic torpedoes, polarized hull plating.</p>
<p>But that, that was just a phone box.<br />
The interior was an optical illusion, made bigger than outside<br />
after all the Doctor and his companions could not be expected to<br />
stand cramped in a tiny space and deliver their lines, how unromantic.<br />
And, it looked like a cheap theatre set, and never the bridge of a spaceship.</p>
<p style="text-align: center;">
<table style="width: 600px; margin: 10px auto;">
<tr>
<td width="300"><a href="http://upload.wikimedia.org/wikipedia/en/f/fe/Original_TARDIS_control_room.jpg"><img src="http://littleindian.awmyth.net/wp-content/uploads/Tardis1-300x225.jpg" alt="" title="Tardis1" width="300" height="225" class="alignnone size-medium wp-image-1226" /></a></td>
<td width="300"><a href="http://upload.wikimedia.org/wikipedia/en/0/0d/TARDIS_console_1983.jpg" target="wikipedia"><img src="http://littleindian.awmyth.net/wp-content/uploads/Tardis83-300x225.jpg" alt="" title="Tardis83" width="300" height="225" class="alignnone size-medium wp-image-1227" /></a></td>
</tr>
<tr>
<td width="300"><a href="http://upload.wikimedia.org/wikipedia/en/4/48/TARDIS_console_1996.jpg"><img src="http://littleindian.awmyth.net/wp-content/uploads/Tardis96-300x200.jpg" alt="" title="Tardis96" width="300" height="200" class="alignnone size-medium wp-image-1228" /></a></td>
<td width="300"><a href="http://en.wikipedia.org/wiki/File:TARDIS_interior_2005.jpg"><img src="http://littleindian.awmyth.net/wp-content/uploads/Tardis05-300x225.jpg" alt="" title="Tardis05" width="300" height="225" class="alignnone size-medium wp-image-1229" /></a></td>
</tr>
</table>
<p>The BBC producers had simply failed to convince me.</p>
<p style="text-align:center;">&nbsp;</p>
<p>I have been trying to catch up with <a href="http://awmyth.wordpress.com/2007/07/04/why-cant-the-doctor-not-be-a-man/" title="Dr Who" target="_blank">many lost &#8216;Doctor Who&#8217; years</a>.<br />
In <a href="http://www.bbc.co.uk/doctorwho/classic/episodeguide/robotsofdeath/detail.shtml">The Robots of Death</a><br />
I find, the Fourth Doctor had tried to explain to his companion Leela,</p>
<blockquote><p>how a larger cube can appear to be able to fit inside a smaller one if<br />
the larger cube is farther away but immediately accessible at the same time</p></blockquote>
<p>Trying to understand what that meant,<br />
I stumbled upon the concept of the <a href="http://eusebeia.dyndns.org/4d/vis/vis.html">fourth dimension</a>.<br />
The inside of the Tardis is not just the script writers&#8217; yarn,<br />
nor an optical illusion, but an example of the Time Lords&#8217; transdimensional engineering.</p>
<p>Yikes!! Yikes Yikes and Yikes again!<br />
I feel embarrassed to admit that all these years,<br />
I had missed the significance of the &#8220;Relative Dimension&#8221; in the TARDIS.<br />
I was existing happily in 3D, ignorant of the possibility of other dimensions.</p>
<p>From now on, everytime I see an abandoned<br />
phone box, scruffy, worse for wear and blue, I will take a look inside, just in case&#8230;</p>
<p style="text-align:center;">&nbsp;</p>
<p><a href="http://technorati.com/tag/Doctor+Who" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=Doctor+Who" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />Doctor Who</a><a href="http://technorati.com/tag/TARDIS" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=TARDIS" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />TARDIS</a><a href="http://technorati.com/tag/science+fiction" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=science+fiction" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />science fiction</a><a href="http://technorati.com/tag/travel" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=travel" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />travel</a><a href="http://technorati.com/tag/fourth+dimensions" rel="tag"><img src="http://static.technorati.com/static/img/pub/icon-utag-16x13.png?tag=fourth+dimensions" style="border:0 none;vertical-align:middle;margin-left:0.4em;" alt=" " />fourth dimensions</a></p>
<p style="text-align:center;">&nbsp;</p>
<p style="text-align:center;">&nbsp;</p>
<p style="text-align:center;">&nbsp;</p>
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