== Translate - Rotate - Scale ==
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== Objects and CSs ==
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Basic algebra for users. When I hear about Matrixes and Vectors I am not scared, but I know that troubles are near, because vector algebra can cause me headache. What I usualy need is a basic cookbook with most basic user recipes, "How to do it," and that is what I want to offer you here.
+
Basic algebra for users. When I hear about Matrixes and Vectors I know that troubles are near, because vector algebra can cause me headache. What I usualy need is a basic cookbook with most basic user recipes, "How to do it," and that is what I want to offer here.
   −
----
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The most basic space is simple: one origin (point 0, 0, 0), one x-axis (vector 1, 0, 0), y-axis and z-axis. But whenever we place an object in such space, we are not necessarily aware that we also create a subspace - the object space. From this moment, we can place other objects not only in the main space but also in this subspace, using the method addChild, or addParent. Each space is defined by it's coordination system, for short '''CS''':
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<pre>
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Object3D cube = Primitives.getCube(1f);
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world.addObject(cube);
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Object3D sphere = Primitives.getSphere(1f);
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world.addObject(sphere);
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cube.addChild(sphere);
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cube.translate(0f,5f,0f);
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sphere.translate(5f,0f,0f);
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</pre>
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[[File:Darai_SubspaceExample.png]]
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[f9e0ea9c] /wiki/index.php?title=Basic_algebra&diff=620&oldid=564&printable=yes Exception from line 436 of /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php: Call to undefined function each()
Backtrace:
#0 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(546): DiffEngine->diag(integer, integer, integer, integer, integer)
#1 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(347): DiffEngine->compareSeq(integer, integer, integer, integer)
#2 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(228): DiffEngine->diffLocal(array, array)
#3 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(725): DiffEngine->diff(array, array)
#4 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(864): Diff->__construct(array, array)
#5 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DairikiDiff.php(987): MappedDiff->__construct(array, array, array, array)
#6 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/TableDiffFormatter.php(193): WordLevelDiff->__construct(array, array)
#7 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DiffFormatter.php(143): TableDiffFormatter->changed(array, array)
#8 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DiffFormatter.php(112): DiffFormatter->block(integer, integer, integer, integer, array)
#9 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(939): DiffFormatter->format(Diff)
#10 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(844): DifferenceEngine->textDiff(string, string)
#11 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(860): DifferenceEngine->{closure}()
#12 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(813): DifferenceEngine->generateTextDiffBody(string, string)
#13 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(743): DifferenceEngine->generateContentDiffBody(WikitextContent, WikitextContent)
#14 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(665): DifferenceEngine->getDiffBody()
#15 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(635): DifferenceEngine->getDiff(string, string, string)
#16 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/diff/DifferenceEngine.php(443): DifferenceEngine->showDiff(string, string, string)
#17 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Article.php(826): DifferenceEngine->showDiffPage(boolean)
#18 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Article.php(549): Article->showDiffPage()
#19 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/actions/ViewAction.php(44): Article->view()
#20 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Wiki.php(487): ViewAction->show()
#21 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Wiki.php(285): MediaWiki->performAction(Article, Title)
#22 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Wiki.php(647): MediaWiki->performRequest()
#23 /zstore/backups/cn10/home/ws10522/public_html/wiki/includes/Wiki.php(506): MediaWiki->main()
#24 /zstore/backups/cn10/home/ws10522/public_html/wiki/index.php(48): MediaWiki->run()
#25 {main}