<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://modenc2.markjfox.net/history/Normals?feed=atom</id>
	<title>Normals - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://modenc2.markjfox.net/history/Normals?feed=atom"/>
	<link rel="alternate" type="text/html" href="https://modenc2.markjfox.net/history/Normals"/>
	<updated>2026-04-18T18:18:29Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.0</generator>
	<entry>
		<id>https://modenc2.markjfox.net/index.php?title=Normals&amp;diff=17279&amp;oldid=prev</id>
		<title>MarkJFox: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://modenc2.markjfox.net/index.php?title=Normals&amp;diff=17279&amp;oldid=prev"/>
		<updated>2025-03-31T20:00:14Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:00, 31 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>MarkJFox</name></author>
	</entry>
	<entry>
		<id>https://modenc2.markjfox.net/index.php?title=Normals&amp;diff=17278&amp;oldid=prev</id>
		<title>en&gt;Renegade: Just saving this in case disaster strikes, Sleipnir&#039;s goes down, and we need these values. Given that DZ is already gone, it&#039;s not as unlikely as one may think.</title>
		<link rel="alternate" type="text/html" href="https://modenc2.markjfox.net/index.php?title=Normals&amp;diff=17278&amp;oldid=prev"/>
		<updated>2011-04-03T14:08:09Z</updated>

		<summary type="html">&lt;p&gt;Just saving this in case disaster strikes, Sleipnir&amp;#039;s goes down, and we need these values. Given that DZ is already gone, it&amp;#039;s not as unlikely as one may think.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{stub}}&lt;br /&gt;
In computer graphics, normals are vectors which indicate which direction a plain faces in 3-dimensional space. They allow the graphics engine to apply the proper light and shadow to the surface.&amp;lt;br&amp;gt;&lt;br /&gt;
In Westwood&amp;#039;s voxel engines, these surface normals are stored in lookup tables - large sets of X,Y,Z values for each normal, each assigned an index. Any given volumetric pixel in a .vxl format is assigned such an index, thus attaching the voxel to a normal and enabling the engine to light it properly.&lt;br /&gt;
&lt;br /&gt;
Each .vxl file also has a &amp;quot;normals index&amp;quot;. In this case, index doesn&amp;#039;t refer to the index of an individual vector, but marks the &amp;quot;generation&amp;quot; of normals used - higher indices are used by later games and point at larger lookup-tables.&lt;br /&gt;
&lt;br /&gt;
How each index is lit is determined by voxel.vpl.&lt;br /&gt;
&lt;br /&gt;
==Perfect Normals==&lt;br /&gt;
Historically, the normal values for each normal index had been unknown to the community. While voxel editors existed and allowed changing the normal index of each voxel, what each normal index meant was largely based on experience, documentation and guesswork, and good-looking voxels were usually only achieved after many hours of trial-and-error normals painting by the modeler.&amp;lt;br&amp;gt;&lt;br /&gt;
[http://www.sleipnirstuff.com/forum/viewtopic.php?t=8048 bglman&amp;#039;s discovery of the normals values] on April 28, 2004 revolutionized voxel- and normals editing by allowing asset creators to make informed decisions about which normal to choose, and by allowing tool creators to dramatically improve the quality of autonormal algorithms.&lt;br /&gt;
&lt;br /&gt;
==Normal lists==&lt;br /&gt;
===Index 1 Normals===&lt;br /&gt;
{| cellpadding=&amp;quot;4&amp;quot; class=&amp;quot;table_descrow&amp;quot;&lt;br /&gt;
!X&lt;br /&gt;
!Y&lt;br /&gt;
!Z&lt;br /&gt;
|-&lt;br /&gt;
| 0.549463|| -0.000183|| -0.835518&lt;br /&gt;
|-&lt;br /&gt;
| 0.000144|| 0.549404|| -0.835557&lt;br /&gt;
|-&lt;br /&gt;
| -0.549404|| -0.000068|| -0.835557&lt;br /&gt;
|-&lt;br /&gt;
| 0.000106|| -0.549463|| -0.835518&lt;br /&gt;
|-&lt;br /&gt;
| 0.949008|| 0.000316|| -0.315250&lt;br /&gt;
|-&lt;br /&gt;
| -0.000186|| 0.948997|| -0.315284&lt;br /&gt;
|-&lt;br /&gt;
| -0.948997|| 0.000318|| -0.315284&lt;br /&gt;
|-&lt;br /&gt;
| -0.000447|| -0.949008|| -0.315250&lt;br /&gt;
|-&lt;br /&gt;
| 0.950844|| -0.000279|| 0.309671&lt;br /&gt;
|-&lt;br /&gt;
| 0.000202|| 0.950848|| 0.309657&lt;br /&gt;
|-&lt;br /&gt;
| -0.950848|| -0.000070|| 0.309657&lt;br /&gt;
|-&lt;br /&gt;
| 0.000147|| -0.950844|| 0.309671&lt;br /&gt;
|-&lt;br /&gt;
| 0.552370|| -0.000011|| 0.833599&lt;br /&gt;
|-&lt;br /&gt;
| 0.000020|| 0.552380|| 0.833592&lt;br /&gt;
|-&lt;br /&gt;
| -0.552380|| 0.000057|| 0.833593&lt;br /&gt;
|-&lt;br /&gt;
| -0.000066|| -0.552370|| 0.833599&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Index 2 Normals (Tiberian Sun)===&lt;br /&gt;
{| cellpadding=&amp;quot;4&amp;quot; class=&amp;quot;table_descrow&amp;quot;&lt;br /&gt;
!X&lt;br /&gt;
!Y&lt;br /&gt;
!Z&lt;br /&gt;
|-&lt;br /&gt;
| 0.671214|| 0.198492|| -0.714194&lt;br /&gt;
|-&lt;br /&gt;
| 0.269643|| 0.584394|| -0.765360&lt;br /&gt;
|-&lt;br /&gt;
| -0.040546|| 0.096988|| -0.994459&lt;br /&gt;
|-&lt;br /&gt;
| -0.572428|| -0.091914|| -0.814787&lt;br /&gt;
|-&lt;br /&gt;
| -0.171401|| -0.572710|| -0.801639&lt;br /&gt;
|-&lt;br /&gt;
| 0.362557|| -0.302999|| -0.881331&lt;br /&gt;
|-&lt;br /&gt;
| 0.810347|| -0.348972|| -0.470698&lt;br /&gt;
|-&lt;br /&gt;
| 0.103962|| 0.938672|| -0.328767&lt;br /&gt;
|-&lt;br /&gt;
| -0.324047|| 0.587669|| -0.741376&lt;br /&gt;
|-&lt;br /&gt;
| -0.800865|| 0.340461|| -0.492647&lt;br /&gt;
|-&lt;br /&gt;
| -0.665498|| -0.590147|| -0.456989&lt;br /&gt;
|-&lt;br /&gt;
| 0.314767|| -0.803002|| -0.506073&lt;br /&gt;
|-&lt;br /&gt;
| 0.972629|| 0.151076|| -0.176550&lt;br /&gt;
|-&lt;br /&gt;
| 0.680291|| 0.684236|| -0.262727&lt;br /&gt;
|-&lt;br /&gt;
| -0.520079|| 0.827777|| -0.210483&lt;br /&gt;
|-&lt;br /&gt;
| -0.961644|| -0.179001|| -0.207847&lt;br /&gt;
|-&lt;br /&gt;
| -0.262714|| -0.937451|| -0.228401&lt;br /&gt;
|-&lt;br /&gt;
| 0.219707|| -0.971301|| 0.091125&lt;br /&gt;
|-&lt;br /&gt;
| 0.923808|| -0.229975|| 0.306087&lt;br /&gt;
|-&lt;br /&gt;
| -0.082489|| 0.970660|| 0.225866&lt;br /&gt;
|-&lt;br /&gt;
| -0.591798|| 0.696790|| 0.405289&lt;br /&gt;
|-&lt;br /&gt;
| -0.925296|| 0.366601|| 0.097111&lt;br /&gt;
|-&lt;br /&gt;
| -0.705051|| -0.687775|| 0.172828&lt;br /&gt;
|-&lt;br /&gt;
| 0.732400|| -0.680367|| -0.026305&lt;br /&gt;
|-&lt;br /&gt;
| 0.855162|| 0.374582|| 0.358311&lt;br /&gt;
|-&lt;br /&gt;
| 0.473006|| 0.836480|| 0.276705&lt;br /&gt;
|-&lt;br /&gt;
| -0.097617|| 0.654112|| 0.750072&lt;br /&gt;
|-&lt;br /&gt;
| -0.904124|| -0.153725|| 0.398658&lt;br /&gt;
|-&lt;br /&gt;
| -0.211916|| -0.858090|| 0.467732&lt;br /&gt;
|-&lt;br /&gt;
| 0.500227|| -0.674408|| 0.543091&lt;br /&gt;
|-&lt;br /&gt;
| 0.584539|| -0.110249|| 0.803841&lt;br /&gt;
|-&lt;br /&gt;
| 0.437373|| 0.454644|| 0.775889&lt;br /&gt;
|-&lt;br /&gt;
| -0.042441|| 0.083318|| 0.995619&lt;br /&gt;
|-&lt;br /&gt;
| -0.596251|| 0.220132|| 0.772028&lt;br /&gt;
|-&lt;br /&gt;
| -0.506455|| -0.396977|| 0.765449&lt;br /&gt;
|-&lt;br /&gt;
| 0.070569|| -0.478474|| 0.875262&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Index 3 Normals===&lt;br /&gt;
{| cellpadding=&amp;quot;4&amp;quot; class=&amp;quot;table_descrow&amp;quot;&lt;br /&gt;
!X&lt;br /&gt;
!Y&lt;br /&gt;
!Z&lt;br /&gt;
|-&lt;br /&gt;
| 0.456511|| -0.073968|| -0.886638&lt;br /&gt;
|-&lt;br /&gt;
| 0.507694|| 0.385117|| -0.770670&lt;br /&gt;
|-&lt;br /&gt;
| 0.095432|| 0.226664|| -0.969286&lt;br /&gt;
|-&lt;br /&gt;
| -0.358766|| 0.543188|| -0.759101&lt;br /&gt;
|-&lt;br /&gt;
| -0.361276|| 0.132995|| -0.922926&lt;br /&gt;
|-&lt;br /&gt;
| -0.483117|| -0.324066|| -0.813375&lt;br /&gt;
|-&lt;br /&gt;
| -0.018073|| -0.197559|| -0.980124&lt;br /&gt;
|-&lt;br /&gt;
| 0.321100|| -0.501477|| -0.803378&lt;br /&gt;
|-&lt;br /&gt;
| 0.799491|| 0.069616|| -0.596630&lt;br /&gt;
|-&lt;br /&gt;
| 0.390971|| 0.771306|| -0.502224&lt;br /&gt;
|-&lt;br /&gt;
| 0.080782|| 0.614490|| -0.784778&lt;br /&gt;
|-&lt;br /&gt;
| -0.732750|| 0.411431|| -0.542035&lt;br /&gt;
|-&lt;br /&gt;
| -0.735254|| 0.009102|| -0.677731&lt;br /&gt;
|-&lt;br /&gt;
| -0.802494|| -0.394908|| -0.447271&lt;br /&gt;
|-&lt;br /&gt;
| -0.134130|| -0.589155|| -0.796809&lt;br /&gt;
|-&lt;br /&gt;
| 0.719553|| -0.376227|| -0.583693&lt;br /&gt;
|-&lt;br /&gt;
| 0.966875|| 0.173593|| -0.187132&lt;br /&gt;
|-&lt;br /&gt;
| 0.760831|| 0.519106|| -0.389443&lt;br /&gt;
|-&lt;br /&gt;
| -0.114642|| 0.875519|| -0.469386&lt;br /&gt;
|-&lt;br /&gt;
| -0.532367|| 0.768859|| -0.354177&lt;br /&gt;
|-&lt;br /&gt;
| -0.962267|| 0.024977|| -0.270958&lt;br /&gt;
|-&lt;br /&gt;
| -0.467387|| -0.721986|| -0.510182&lt;br /&gt;
|-&lt;br /&gt;
| 0.058450|| -0.852354|| -0.519689&lt;br /&gt;
|-&lt;br /&gt;
| 0.498233|| -0.743740|| -0.445663&lt;br /&gt;
|-&lt;br /&gt;
| 0.939151|| -0.270245|| -0.212044&lt;br /&gt;
|-&lt;br /&gt;
| 0.583932|| 0.809442|| -0.061857&lt;br /&gt;
|-&lt;br /&gt;
| 0.183797|| 0.973228|| -0.138007&lt;br /&gt;
|-&lt;br /&gt;
| -0.884355|| 0.452219|| -0.115822&lt;br /&gt;
|-&lt;br /&gt;
| -0.943178|| -0.332067|| 0.012138&lt;br /&gt;
|-&lt;br /&gt;
| -0.698440|| -0.706567|| -0.113772&lt;br /&gt;
|-&lt;br /&gt;
| -0.228411|| -0.954706|| -0.190694&lt;br /&gt;
|-&lt;br /&gt;
| 0.731564|| -0.675861|| -0.089588&lt;br /&gt;
|-&lt;br /&gt;
| 0.969251|| 0.046804|| 0.241582&lt;br /&gt;
|-&lt;br /&gt;
| 0.855647|| 0.503477|| 0.119916&lt;br /&gt;
|-&lt;br /&gt;
| -0.251153|| 0.967947|| -0.000081&lt;br /&gt;
|-&lt;br /&gt;
| -0.647795|| 0.756749|| 0.087712&lt;br /&gt;
|-&lt;br /&gt;
| -0.969164|| 0.145194|| 0.199100&lt;br /&gt;
|-&lt;br /&gt;
| -0.414793|| -0.888967|| 0.194126&lt;br /&gt;
|-&lt;br /&gt;
| 0.250775|| -0.961178|| -0.115109&lt;br /&gt;
|-&lt;br /&gt;
| 0.478629|| -0.842593|| 0.246883&lt;br /&gt;
|-&lt;br /&gt;
| 0.890044|| -0.396142|| 0.225595&lt;br /&gt;
|-&lt;br /&gt;
| 0.524051|| 0.762360|| 0.379707&lt;br /&gt;
|-&lt;br /&gt;
| 0.119620|| 0.945482|| 0.302910&lt;br /&gt;
|-&lt;br /&gt;
| -0.760850|| 0.490075|| 0.425362&lt;br /&gt;
|-&lt;br /&gt;
| -0.869785|| -0.202150|| 0.450122&lt;br /&gt;
|-&lt;br /&gt;
| -0.709467|| -0.602424|| 0.365707&lt;br /&gt;
|-&lt;br /&gt;
| 0.019309|| -0.958871|| 0.283186&lt;br /&gt;
|-&lt;br /&gt;
| 0.626113|| -0.564677|| 0.537701&lt;br /&gt;
|-&lt;br /&gt;
| 0.769943|| -0.126663|| 0.625415&lt;br /&gt;
|-&lt;br /&gt;
| 0.764191|| 0.350702|| 0.541314&lt;br /&gt;
|-&lt;br /&gt;
| -0.001878|| 0.741367|| 0.671098&lt;br /&gt;
|-&lt;br /&gt;
| -0.370880|| 0.818368|| 0.439001&lt;br /&gt;
|-&lt;br /&gt;
| -0.713909|| 0.128652|| 0.688318&lt;br /&gt;
|-&lt;br /&gt;
| -0.295165|| -0.738664|| 0.606014&lt;br /&gt;
|-&lt;br /&gt;
| 0.186195|| -0.738369|| 0.648184&lt;br /&gt;
|-&lt;br /&gt;
| 0.387523|| -0.358783|| 0.849176&lt;br /&gt;
|-&lt;br /&gt;
| 0.481022|| 0.124846|| 0.867774&lt;br /&gt;
|-&lt;br /&gt;
| 0.391808|| 0.545056|| 0.741216&lt;br /&gt;
|-&lt;br /&gt;
| -0.003536|| 0.365598|| 0.930766&lt;br /&gt;
|-&lt;br /&gt;
| -0.420498|| 0.484961|| 0.766808&lt;br /&gt;
|-&lt;br /&gt;
| -0.354903|| 0.019470|| 0.934700&lt;br /&gt;
|-&lt;br /&gt;
| -0.547837|| -0.359208|| 0.755543&lt;br /&gt;
|-&lt;br /&gt;
| -0.106662|| -0.445115|| 0.889098&lt;br /&gt;
|-&lt;br /&gt;
| 0.086796|| -0.059307|| 0.994459&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Index 4 Normals (Red Alert 2)===&lt;br /&gt;
{| cellpadding=&amp;quot;4&amp;quot; class=&amp;quot;table_descrow&amp;quot;&lt;br /&gt;
!X&lt;br /&gt;
!Y&lt;br /&gt;
!Z&lt;br /&gt;
|-&lt;br /&gt;
| 0.526578|| -0.359621|| -0.770317&lt;br /&gt;
|-&lt;br /&gt;
| 0.150482|| 0.435984|| 0.887284&lt;br /&gt;
|-&lt;br /&gt;
| 0.414195|| 0.738255|| -0.532374&lt;br /&gt;
|-&lt;br /&gt;
| 0.075152|| 0.916249|| -0.393498&lt;br /&gt;
|-&lt;br /&gt;
| -0.316149|| 0.930736|| -0.183793&lt;br /&gt;
|-&lt;br /&gt;
| -0.773819|| 0.623334|| -0.112510&lt;br /&gt;
|-&lt;br /&gt;
| -0.900842|| 0.428537|| -0.069568&lt;br /&gt;
|-&lt;br /&gt;
| -0.998942|| -0.010971|| 0.044665&lt;br /&gt;
|-&lt;br /&gt;
| -0.979761|| -0.157670|| -0.123324&lt;br /&gt;
|-&lt;br /&gt;
| -0.911274|| -0.362371|| -0.195620&lt;br /&gt;
|-&lt;br /&gt;
| -0.624069|| -0.720941|| -0.301301&lt;br /&gt;
|-&lt;br /&gt;
| -0.310173|| -0.809345|| -0.498752&lt;br /&gt;
|-&lt;br /&gt;
| 0.146613|| -0.815819|| -0.559414&lt;br /&gt;
|-&lt;br /&gt;
| -0.716516|| -0.694356|| -0.066888&lt;br /&gt;
|-&lt;br /&gt;
| 0.503972|| -0.114202|| -0.856137&lt;br /&gt;
|-&lt;br /&gt;
| 0.455491|| 0.872627|| -0.176211&lt;br /&gt;
|-&lt;br /&gt;
| -0.005010|| -0.114373|| -0.993425&lt;br /&gt;
|-&lt;br /&gt;
| -0.104675|| -0.327701|| -0.938965&lt;br /&gt;
|-&lt;br /&gt;
| 0.560412|| 0.752589|| -0.345756&lt;br /&gt;
|-&lt;br /&gt;
| -0.060576|| 0.821628|| -0.566796&lt;br /&gt;
|-&lt;br /&gt;
| -0.302341|| 0.797007|| -0.522847&lt;br /&gt;
|-&lt;br /&gt;
| -0.671543|| 0.670740|| -0.314863&lt;br /&gt;
|-&lt;br /&gt;
| -0.778401|| -0.128357|| 0.614505&lt;br /&gt;
|-&lt;br /&gt;
| -0.924050|| 0.278382|| -0.261985&lt;br /&gt;
|-&lt;br /&gt;
| -0.699773|| -0.550491|| -0.455278&lt;br /&gt;
|-&lt;br /&gt;
| -0.568248|| -0.517189|| -0.640008&lt;br /&gt;
|-&lt;br /&gt;
| 0.054098|| -0.932864|| -0.356143&lt;br /&gt;
|-&lt;br /&gt;
| 0.758382|| 0.572893|| -0.310888&lt;br /&gt;
|-&lt;br /&gt;
| 0.003620|| 0.305026|| -0.952337&lt;br /&gt;
|-&lt;br /&gt;
| -0.060850|| -0.986886|| -0.149511&lt;br /&gt;
|-&lt;br /&gt;
| 0.635230|| 0.045478|| -0.770983&lt;br /&gt;
|-&lt;br /&gt;
| 0.521705|| 0.241309|| -0.818287&lt;br /&gt;
|-&lt;br /&gt;
| 0.269404|| 0.635425|| -0.723641&lt;br /&gt;
|-&lt;br /&gt;
| 0.045676|| 0.672754|| -0.738455&lt;br /&gt;
|-&lt;br /&gt;
| -0.180511|| 0.674657|| -0.715719&lt;br /&gt;
|-&lt;br /&gt;
| -0.397131|| 0.636640|| -0.661042&lt;br /&gt;
|-&lt;br /&gt;
| -0.552004|| 0.472515|| -0.687038&lt;br /&gt;
|-&lt;br /&gt;
| -0.772170|| 0.083090|| -0.629960&lt;br /&gt;
|-&lt;br /&gt;
| -0.669819|| -0.119533|| -0.732840&lt;br /&gt;
|-&lt;br /&gt;
| -0.540455|| -0.318444|| -0.778782&lt;br /&gt;
|-&lt;br /&gt;
| -0.386135|| -0.522789|| -0.759994&lt;br /&gt;
|-&lt;br /&gt;
| -0.261466|| -0.688567|| -0.676395&lt;br /&gt;
|-&lt;br /&gt;
| -0.019412|| -0.696103|| -0.717680&lt;br /&gt;
|-&lt;br /&gt;
| 0.303569|| -0.481844|| -0.821993&lt;br /&gt;
|-&lt;br /&gt;
| 0.681939|| -0.195129|| -0.704900&lt;br /&gt;
|-&lt;br /&gt;
| -0.244889|| -0.116562|| -0.962519&lt;br /&gt;
|-&lt;br /&gt;
| 0.800759|| -0.022979|| -0.598546&lt;br /&gt;
|-&lt;br /&gt;
| -0.370275|| 0.095584|| -0.923991&lt;br /&gt;
|-&lt;br /&gt;
| -0.330671|| -0.326578|| -0.885440&lt;br /&gt;
|-&lt;br /&gt;
| -0.163220|| -0.527579|| -0.833679&lt;br /&gt;
|-&lt;br /&gt;
| 0.126390|| -0.313146|| -0.941257&lt;br /&gt;
|-&lt;br /&gt;
| 0.349548|| -0.272226|| -0.896498&lt;br /&gt;
|-&lt;br /&gt;
| 0.239918|| -0.085825|| -0.966992&lt;br /&gt;
|-&lt;br /&gt;
| 0.390845|| 0.081537|| -0.916838&lt;br /&gt;
|-&lt;br /&gt;
| 0.255267|| 0.268697|| -0.928785&lt;br /&gt;
|-&lt;br /&gt;
| 0.146245|| 0.480438|| -0.864749&lt;br /&gt;
|-&lt;br /&gt;
| -0.326016|| 0.478456|| -0.815349&lt;br /&gt;
|-&lt;br /&gt;
| -0.469682|| -0.112519|| -0.875636&lt;br /&gt;
|-&lt;br /&gt;
| 0.818440|| -0.258520|| -0.513151&lt;br /&gt;
|-&lt;br /&gt;
| -0.474318|| 0.292238|| -0.830433&lt;br /&gt;
|-&lt;br /&gt;
| 0.778943|| 0.395842|| -0.486371&lt;br /&gt;
|-&lt;br /&gt;
| 0.624094|| 0.393773|| -0.674870&lt;br /&gt;
|-&lt;br /&gt;
| 0.740886|| 0.203834|| -0.639953&lt;br /&gt;
|-&lt;br /&gt;
| 0.480217|| 0.565768|| -0.670297&lt;br /&gt;
|-&lt;br /&gt;
| 0.380930|| 0.424535|| -0.821378&lt;br /&gt;
|-&lt;br /&gt;
| -0.093422|| 0.501124|| -0.860318&lt;br /&gt;
|-&lt;br /&gt;
| -0.236485|| 0.296198|| -0.925387&lt;br /&gt;
|-&lt;br /&gt;
| -0.131531|| 0.093959|| -0.986849&lt;br /&gt;
|-&lt;br /&gt;
| -0.823562|| 0.295777|| -0.484006&lt;br /&gt;
|-&lt;br /&gt;
| 0.611066|| -0.624304|| -0.486664&lt;br /&gt;
|-&lt;br /&gt;
| 0.069496|| -0.520330|| -0.851133&lt;br /&gt;
|-&lt;br /&gt;
| 0.226522|| -0.664879|| -0.711775&lt;br /&gt;
|-&lt;br /&gt;
| 0.471308|| -0.568904|| -0.673957&lt;br /&gt;
|-&lt;br /&gt;
| 0.388425|| -0.742624|| -0.545560&lt;br /&gt;
|-&lt;br /&gt;
| 0.783675|| -0.480729|| -0.393385&lt;br /&gt;
|-&lt;br /&gt;
| 0.962394|| 0.135676|| -0.235349&lt;br /&gt;
|-&lt;br /&gt;
| 0.876607|| 0.172034|| -0.449406&lt;br /&gt;
|-&lt;br /&gt;
| 0.633405|| 0.589793|| -0.500941&lt;br /&gt;
|-&lt;br /&gt;
| 0.182276|| 0.800658|| -0.570721&lt;br /&gt;
|-&lt;br /&gt;
| 0.177003|| 0.764134|| 0.620297&lt;br /&gt;
|-&lt;br /&gt;
| -0.544016|| 0.675515|| -0.497721&lt;br /&gt;
|-&lt;br /&gt;
| -0.679297|| 0.286467|| -0.675642&lt;br /&gt;
|-&lt;br /&gt;
| -0.590391|| 0.091369|| -0.801929&lt;br /&gt;
|-&lt;br /&gt;
| -0.824360|| -0.133124|| -0.550189&lt;br /&gt;
|-&lt;br /&gt;
| -0.715794|| -0.334542|| -0.612961&lt;br /&gt;
|-&lt;br /&gt;
| 0.174286|| -0.892484|| 0.416049&lt;br /&gt;
|-&lt;br /&gt;
| -0.082528|| -0.837123|| -0.540753&lt;br /&gt;
|-&lt;br /&gt;
| 0.283331|| -0.880874|| -0.379189&lt;br /&gt;
|-&lt;br /&gt;
| 0.675134|| -0.426627|| -0.601817&lt;br /&gt;
|-&lt;br /&gt;
| 0.843720|| -0.512335|| -0.160156&lt;br /&gt;
|-&lt;br /&gt;
| 0.977304|| -0.098556|| -0.187520&lt;br /&gt;
|-&lt;br /&gt;
| 0.846295|| 0.522672|| -0.102947&lt;br /&gt;
|-&lt;br /&gt;
| 0.677141|| 0.721325|| -0.145501&lt;br /&gt;
|-&lt;br /&gt;
| 0.320965|| 0.870892|| -0.372194&lt;br /&gt;
|-&lt;br /&gt;
| -0.178978|| 0.911533|| -0.370236&lt;br /&gt;
|-&lt;br /&gt;
| -0.447169|| 0.826701|| -0.341474&lt;br /&gt;
|-&lt;br /&gt;
| -0.703203|| 0.496328|| -0.509081&lt;br /&gt;
|-&lt;br /&gt;
| -0.977181|| 0.063563|| -0.202674&lt;br /&gt;
|-&lt;br /&gt;
| -0.878170|| -0.412938|| 0.241455&lt;br /&gt;
|-&lt;br /&gt;
| -0.835831|| -0.358550|| -0.415728&lt;br /&gt;
|-&lt;br /&gt;
| -0.499174|| -0.693433|| -0.519592&lt;br /&gt;
|-&lt;br /&gt;
| -0.188789|| -0.923753|| -0.333225&lt;br /&gt;
|-&lt;br /&gt;
| 0.192254|| -0.969361|| -0.152896&lt;br /&gt;
|-&lt;br /&gt;
| 0.515940|| -0.783907|| -0.345392&lt;br /&gt;
|-&lt;br /&gt;
| 0.905925|| -0.300952|| -0.297871&lt;br /&gt;
|-&lt;br /&gt;
| 0.991112|| -0.127746|| 0.037107&lt;br /&gt;
|-&lt;br /&gt;
| 0.995135|| 0.098424|| -0.004383&lt;br /&gt;
|-&lt;br /&gt;
| 0.760123|| 0.646277|| 0.067367&lt;br /&gt;
|-&lt;br /&gt;
| 0.205221|| 0.959580|| -0.192591&lt;br /&gt;
|-&lt;br /&gt;
| -0.042750|| 0.979513|| -0.196791&lt;br /&gt;
|-&lt;br /&gt;
| -0.438017|| 0.898927|| 0.008492&lt;br /&gt;
|-&lt;br /&gt;
| -0.821994|| 0.480785|| -0.305239&lt;br /&gt;
|-&lt;br /&gt;
| -0.899917|| 0.081710|| -0.428337&lt;br /&gt;
|-&lt;br /&gt;
| -0.926612|| -0.144618|| -0.347096&lt;br /&gt;
|-&lt;br /&gt;
| -0.793660|| -0.557792|| -0.242839&lt;br /&gt;
|-&lt;br /&gt;
| -0.431350|| -0.847779|| -0.308558&lt;br /&gt;
|-&lt;br /&gt;
| -0.005492|| -0.965000|| 0.262193&lt;br /&gt;
|-&lt;br /&gt;
| 0.587905|| -0.804026|| -0.088940&lt;br /&gt;
|-&lt;br /&gt;
| 0.699493|| -0.667686|| -0.254765&lt;br /&gt;
|-&lt;br /&gt;
| 0.889303|| 0.359795|| -0.282291&lt;br /&gt;
|-&lt;br /&gt;
| 0.780972|| 0.197037|| 0.592672&lt;br /&gt;
|-&lt;br /&gt;
| 0.520121|| 0.506696|| 0.687557&lt;br /&gt;
|-&lt;br /&gt;
| 0.403895|| 0.693961|| 0.596060&lt;br /&gt;
|-&lt;br /&gt;
| -0.154983|| 0.899236|| 0.409090&lt;br /&gt;
|-&lt;br /&gt;
| -0.657338|| 0.537168|| 0.528543&lt;br /&gt;
|-&lt;br /&gt;
| -0.746195|| 0.334091|| 0.575827&lt;br /&gt;
|-&lt;br /&gt;
| -0.624952|| -0.049144|| 0.779115&lt;br /&gt;
|-&lt;br /&gt;
| 0.318141|| -0.254715|| 0.913185&lt;br /&gt;
|-&lt;br /&gt;
| -0.555897|| 0.405294|| 0.725752&lt;br /&gt;
|-&lt;br /&gt;
| -0.794434|| 0.099406|| 0.599160&lt;br /&gt;
|-&lt;br /&gt;
| -0.640361|| -0.689463|| 0.338495&lt;br /&gt;
|-&lt;br /&gt;
| -0.126713|| -0.734095|| 0.667120&lt;br /&gt;
|-&lt;br /&gt;
| 0.105457|| -0.780817|| 0.615795&lt;br /&gt;
|-&lt;br /&gt;
| 0.407993|| -0.480916|| 0.776055&lt;br /&gt;
|-&lt;br /&gt;
| 0.695136|| -0.545120|| 0.468647&lt;br /&gt;
|-&lt;br /&gt;
| 0.973191|| -0.006489|| 0.229908&lt;br /&gt;
|-&lt;br /&gt;
| 0.946894|| 0.317509|| -0.050799&lt;br /&gt;
|-&lt;br /&gt;
| 0.563583|| 0.825612|| 0.027183&lt;br /&gt;
|-&lt;br /&gt;
| 0.325773|| 0.945423|| 0.006949&lt;br /&gt;
|-&lt;br /&gt;
| -0.171821|| 0.985097|| -0.007815&lt;br /&gt;
|-&lt;br /&gt;
| -0.670441|| 0.739939|| 0.054769&lt;br /&gt;
|-&lt;br /&gt;
| -0.822981|| 0.554962|| 0.121322&lt;br /&gt;
|-&lt;br /&gt;
| -0.966193|| 0.117857|| 0.229307&lt;br /&gt;
|-&lt;br /&gt;
| -0.953769|| -0.294704|| 0.058945&lt;br /&gt;
|-&lt;br /&gt;
| -0.864387|| -0.502728|| -0.010015&lt;br /&gt;
|-&lt;br /&gt;
| -0.530609|| -0.842006|| -0.097366&lt;br /&gt;
|-&lt;br /&gt;
| -0.162618|| -0.984075|| 0.071772&lt;br /&gt;
|-&lt;br /&gt;
| 0.081447|| -0.996011|| 0.036439&lt;br /&gt;
|-&lt;br /&gt;
| 0.745984|| -0.665963|| 0.000762&lt;br /&gt;
|-&lt;br /&gt;
| 0.942057|| -0.329269|| -0.064106&lt;br /&gt;
|-&lt;br /&gt;
| 0.939702|| -0.281090|| 0.194803&lt;br /&gt;
|-&lt;br /&gt;
| 0.771214|| 0.550670|| 0.319363&lt;br /&gt;
|-&lt;br /&gt;
| 0.641348|| 0.730690|| 0.234021&lt;br /&gt;
|-&lt;br /&gt;
| 0.080682|| 0.996691|| 0.009879&lt;br /&gt;
|-&lt;br /&gt;
| -0.046725|| 0.976643|| 0.209725&lt;br /&gt;
|-&lt;br /&gt;
| -0.531076|| 0.821001|| 0.209562&lt;br /&gt;
|-&lt;br /&gt;
| -0.695815|| 0.655990|| 0.292435&lt;br /&gt;
|-&lt;br /&gt;
| -0.976122|| 0.216709|| -0.014913&lt;br /&gt;
|-&lt;br /&gt;
| -0.961661|| -0.144129|| 0.233314&lt;br /&gt;
|-&lt;br /&gt;
| -0.772084|| -0.613647|| 0.165299&lt;br /&gt;
|-&lt;br /&gt;
| -0.449600|| -0.836060|| 0.314426&lt;br /&gt;
|-&lt;br /&gt;
| -0.392700|| -0.914616|| 0.096247&lt;br /&gt;
|-&lt;br /&gt;
| 0.390589|| -0.919470|| 0.044890&lt;br /&gt;
|-&lt;br /&gt;
| 0.582529|| -0.799198|| 0.148127&lt;br /&gt;
|-&lt;br /&gt;
| 0.866431|| -0.489812|| 0.096864&lt;br /&gt;
|-&lt;br /&gt;
| 0.904587|| 0.111498|| 0.411450&lt;br /&gt;
|-&lt;br /&gt;
| 0.953537|| 0.232330|| 0.191806&lt;br /&gt;
|-&lt;br /&gt;
| 0.497311|| 0.770803|| 0.398177&lt;br /&gt;
|-&lt;br /&gt;
| 0.194066|| 0.956320|| 0.218611&lt;br /&gt;
|-&lt;br /&gt;
| 0.422876|| 0.882276|| 0.206797&lt;br /&gt;
|-&lt;br /&gt;
| -0.373797|| 0.849566|| 0.372174&lt;br /&gt;
|-&lt;br /&gt;
| -0.534497|| 0.714023|| 0.452200&lt;br /&gt;
|-&lt;br /&gt;
| -0.881827|| 0.237160|| 0.407598&lt;br /&gt;
|-&lt;br /&gt;
| -0.904948|| -0.014069|| 0.425289&lt;br /&gt;
|-&lt;br /&gt;
| -0.751827|| -0.512817|| 0.414458&lt;br /&gt;
|-&lt;br /&gt;
| -0.501015|| -0.697917|| 0.511758&lt;br /&gt;
|-&lt;br /&gt;
| -0.235190|| -0.925923|| 0.295555&lt;br /&gt;
|-&lt;br /&gt;
| 0.228983|| -0.953940|| 0.193819&lt;br /&gt;
|-&lt;br /&gt;
| 0.734025|| -0.634898|| 0.241062&lt;br /&gt;
|-&lt;br /&gt;
| 0.913753|| -0.063253|| -0.401316&lt;br /&gt;
|-&lt;br /&gt;
| 0.905735|| -0.161487|| 0.391875&lt;br /&gt;
|-&lt;br /&gt;
| 0.858930|| 0.342446|| 0.380749&lt;br /&gt;
|-&lt;br /&gt;
| 0.624486|| 0.607581|| 0.490777&lt;br /&gt;
|-&lt;br /&gt;
| 0.289264|| 0.857479|| 0.425508&lt;br /&gt;
|-&lt;br /&gt;
| 0.069968|| 0.902169|| 0.425671&lt;br /&gt;
|-&lt;br /&gt;
| -0.286180|| 0.940700|| 0.182165&lt;br /&gt;
|-&lt;br /&gt;
| -0.574013|| 0.805119|| -0.149309&lt;br /&gt;
|-&lt;br /&gt;
| 0.111258|| 0.099718|| -0.988776&lt;br /&gt;
|-&lt;br /&gt;
| -0.305393|| -0.944228|| -0.123160&lt;br /&gt;
|-&lt;br /&gt;
| -0.601166|| -0.789576|| 0.123163&lt;br /&gt;
|-&lt;br /&gt;
| -0.290645|| -0.812140|| 0.505919&lt;br /&gt;
|-&lt;br /&gt;
| -0.064920|| -0.877163|| 0.475785&lt;br /&gt;
|-&lt;br /&gt;
| 0.408301|| -0.862216|| 0.299789&lt;br /&gt;
|-&lt;br /&gt;
| 0.566097|| -0.725566|| 0.391264&lt;br /&gt;
|-&lt;br /&gt;
| 0.839364|| -0.427387|| 0.335869&lt;br /&gt;
|-&lt;br /&gt;
| 0.818900|| -0.041305|| 0.572448&lt;br /&gt;
|-&lt;br /&gt;
| 0.719784|| 0.414997|| 0.556497&lt;br /&gt;
|-&lt;br /&gt;
| 0.881744|| 0.450270|| 0.140659&lt;br /&gt;
|-&lt;br /&gt;
| 0.401823|| -0.898220|| -0.178152&lt;br /&gt;
|-&lt;br /&gt;
| -0.054020|| 0.791344|| 0.608980&lt;br /&gt;
|-&lt;br /&gt;
| -0.293774|| 0.763994|| 0.574465&lt;br /&gt;
|-&lt;br /&gt;
| -0.450798|| 0.610347|| 0.651351&lt;br /&gt;
|-&lt;br /&gt;
| -0.638221|| 0.186694|| 0.746873&lt;br /&gt;
|-&lt;br /&gt;
| -0.872870|| -0.257127|| 0.414708&lt;br /&gt;
|-&lt;br /&gt;
| -0.587257|| -0.521710|| 0.618828&lt;br /&gt;
|-&lt;br /&gt;
| -0.353658|| -0.641974|| 0.680291&lt;br /&gt;
|-&lt;br /&gt;
| 0.041649|| -0.611273|| 0.790323&lt;br /&gt;
|-&lt;br /&gt;
| 0.348342|| -0.779183|| 0.521087&lt;br /&gt;
|-&lt;br /&gt;
| 0.499167|| -0.622441|| 0.602826&lt;br /&gt;
|-&lt;br /&gt;
| 0.790019|| -0.303831|| 0.532500&lt;br /&gt;
|-&lt;br /&gt;
| 0.660118|| 0.060733|| 0.748702&lt;br /&gt;
|-&lt;br /&gt;
| 0.604921|| 0.294161|| 0.739960&lt;br /&gt;
|-&lt;br /&gt;
| 0.385697|| 0.379346|| 0.841032&lt;br /&gt;
|-&lt;br /&gt;
| 0.239693|| 0.207876|| 0.948332&lt;br /&gt;
|-&lt;br /&gt;
| 0.012623|| 0.258532|| 0.965920&lt;br /&gt;
|-&lt;br /&gt;
| -0.100557|| 0.457147|| 0.883688&lt;br /&gt;
|-&lt;br /&gt;
| 0.046967|| 0.628588|| 0.776319&lt;br /&gt;
|-&lt;br /&gt;
| -0.430391|| -0.445405|| 0.785097&lt;br /&gt;
|-&lt;br /&gt;
| -0.434291|| -0.196228|| 0.879139&lt;br /&gt;
|-&lt;br /&gt;
| -0.256637|| -0.336867|| 0.905902&lt;br /&gt;
|-&lt;br /&gt;
| -0.131372|| -0.158910|| 0.978514&lt;br /&gt;
|-&lt;br /&gt;
| 0.102379|| -0.208767|| 0.972592&lt;br /&gt;
|-&lt;br /&gt;
| 0.195687|| -0.450129|| 0.871258&lt;br /&gt;
|-&lt;br /&gt;
| 0.627319|| -0.423148|| 0.653771&lt;br /&gt;
|-&lt;br /&gt;
| 0.687439|| -0.171583|| 0.705682&lt;br /&gt;
|-&lt;br /&gt;
| 0.275920|| -0.021255|| 0.960946&lt;br /&gt;
|-&lt;br /&gt;
| 0.459367|| 0.157466|| 0.874178&lt;br /&gt;
|-&lt;br /&gt;
| 0.285395|| 0.583184|| 0.760556&lt;br /&gt;
|-&lt;br /&gt;
| -0.812174|| 0.460303|| 0.358461&lt;br /&gt;
|-&lt;br /&gt;
| -0.189068|| 0.641223|| 0.743698&lt;br /&gt;
|-&lt;br /&gt;
| -0.338875|| 0.476480|| 0.811252&lt;br /&gt;
|-&lt;br /&gt;
| -0.920994|| 0.347186|| 0.176727&lt;br /&gt;
|-&lt;br /&gt;
| 0.040639|| 0.024465|| 0.998874&lt;br /&gt;
|-&lt;br /&gt;
| -0.739132|| -0.353747|| 0.573190&lt;br /&gt;
|-&lt;br /&gt;
| -0.603512|| -0.286615|| 0.744060&lt;br /&gt;
|-&lt;br /&gt;
| -0.188676|| -0.547059|| 0.815554&lt;br /&gt;
|-&lt;br /&gt;
| -0.026045|| -0.397820|| 0.917094&lt;br /&gt;
|-&lt;br /&gt;
| 0.267897|| -0.649041|| 0.712023&lt;br /&gt;
|-&lt;br /&gt;
| 0.518246|| -0.284891|| 0.806386&lt;br /&gt;
|-&lt;br /&gt;
| 0.493451|| -0.066533|| 0.867225&lt;br /&gt;
|-&lt;br /&gt;
| -0.328188|| 0.140251|| 0.934143&lt;br /&gt;
|-&lt;br /&gt;
| -0.328188|| 0.140251|| 0.934143&lt;br /&gt;
|-&lt;br /&gt;
| -0.328188|| 0.140251|| 0.934143&lt;br /&gt;
|-&lt;br /&gt;
| -0.328188|| 0.140251|| 0.934143&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[Voxel]]&lt;br /&gt;
*[[wikipedia:surface normal|Wikipedia on surface normals]]&lt;br /&gt;
*[http://www.sleipnirstuff.com/forum/viewtopic.php?t=8048 Perfect normals discovery thread]&lt;br /&gt;
*[http://www.sleipnirstuff.com/forum/viewtopic.php?f=10&amp;amp;p=168646#168646 bglman&amp;#039;s values for indices 1-3]&lt;br /&gt;
*[http://www.sleipnirstuff.com/forum/viewtopic.php?f=10&amp;amp;p=168513#168513 bglman&amp;#039;s values for index 4]&lt;br /&gt;
&lt;br /&gt;
*[http://ppmsite.com/forum/viewtopic.php?t=30026 .VPL research thread]&lt;/div&gt;</summary>
		<author><name>en&gt;Renegade</name></author>
	</entry>
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