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	<id>https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=12-240%2FHomework_Assignment_6</id>
	<title>12-240/Homework Assignment 6 - Revision history</title>
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	<updated>2026-05-06T17:35:03Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12466&amp;oldid=prev</id>
		<title>Drorbn at 13:35, 5 November 2012</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12466&amp;oldid=prev"/>
		<updated>2012-11-05T13:35:23Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:35, 5 November 2012&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:06-240-Mario.jpg|thumb|center|176px|A famed creature that owes its mobility to 4x4 matrices.]]&lt;/div&gt;&lt;/td&gt;
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&lt;/tr&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== 4x4 Matrices In OpenGL ==&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== 4x4 Matrices In OpenGL ==&lt;/div&gt;&lt;/td&gt;
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&lt;/table&gt;</summary>
		<author><name>Drorbn</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12453&amp;oldid=prev</id>
		<title>Pratyush: /* 4x4 Matrices In OpenGL */</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12453&amp;oldid=prev"/>
		<updated>2012-11-04T14:50:35Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;4x4 Matrices In OpenGL&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:50, 4 November 2012&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== 4x4 Matrices In OpenGL ==&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== 4x4 Matrices In OpenGL ==&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If anyone is interested, here is a good site about 4x4 matrices in OpenGL: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Go To Link|&lt;/del&gt;http://www.opengl-tutorial.org/beginners-tutorials/tutorial-3-matrices/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If anyone is interested, here is a good site about 4x4 matrices in OpenGL: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[&lt;/ins&gt;http://www.opengl-tutorial.org/beginners-tutorials/tutorial-3-matrices/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;  Go To Link]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Pratyush</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12452&amp;oldid=prev</id>
		<title>Pratyush: adding a link</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12452&amp;oldid=prev"/>
		<updated>2012-11-04T14:49:56Z</updated>

		<summary type="html">&lt;p&gt;adding a link&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:49, 4 November 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 9:&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:06-240-Mario.jpg|thumb|center|176px|A famed creature that owes its mobility to 4x4 matrices.]]&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:06-240-Mario.jpg|thumb|center|176px|A famed creature that owes its mobility to 4x4 matrices.]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== 4x4 Matrices In OpenGL ==&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If anyone is interested, here is a good site about 4x4 matrices in OpenGL: {{Go To Link|http://www.opengl-tutorial.org/beginners-tutorials/tutorial-3-matrices/}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Pratyush</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12407&amp;oldid=prev</id>
		<title>Drorbn at 13:56, 1 November 2012</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=12-240/Homework_Assignment_6&amp;diff=12407&amp;oldid=prev"/>
		<updated>2012-11-01T13:56:30Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{12-240/Navigation}}&lt;br /&gt;
This assignment is due at the tutorials on Thursday November 15. Here and everywhere, &amp;#039;&amp;#039;&amp;#039;neatness counts!!&amp;#039;&amp;#039;&amp;#039; You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Task 1.&amp;#039;&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;Read&amp;#039;&amp;#039;&amp;#039; sections 2.1 through 2.3 in our textbook. Remember that reading math isn&amp;#039;t like reading a novel! If you read a novel and miss a few details most likely you&amp;#039;ll still understand the novel. But if you miss a few details in a math text, often you&amp;#039;ll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you&amp;#039;ve read. Also, &amp;#039;&amp;#039;&amp;#039;preread&amp;#039;&amp;#039;&amp;#039; sections 2.4 and 2.5, just to get a feel for the future.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Task 2.&amp;#039;&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;Solve&amp;#039;&amp;#039;&amp;#039; problems 20, &amp;lt;u&amp;gt;21&amp;lt;/u&amp;gt;, 24, 25, &amp;lt;u&amp;gt;26&amp;lt;/u&amp;gt;, and &amp;lt;u&amp;gt;27&amp;lt;/u&amp;gt; on pages 76-77 and problems 1, 5a, &amp;lt;u&amp;gt;5b&amp;lt;/u&amp;gt;, 5c-g, 9, 15 and &amp;lt;u&amp;gt;16&amp;lt;/u&amp;gt; on pages 84-86, but submit only your solutions of the underlined problems.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Just for fun.&amp;#039;&amp;#039;&amp;#039; Do a web search for the words &amp;quot;OpenGL&amp;quot; and &amp;quot;matrix&amp;quot; (or &amp;quot;matrices&amp;quot;) and find out why graphics accelerators in PCs and game consoles do &amp;lt;math&amp;gt;4\times 4&amp;lt;/math&amp;gt; (!) matrix multiplications &amp;#039;&amp;#039;in hardware&amp;#039;&amp;#039;.  (The full explanation is quite involved; perhaps you should just aim to get a taste of it).&lt;br /&gt;
&lt;br /&gt;
[[Image:06-240-Mario.jpg|thumb|center|176px|A famed creature that owes its mobility to 4x4 matrices.]]&lt;/div&gt;</summary>
		<author><name>Drorbn</name></author>
	</entry>
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