www.GFX.0fees.netTheArtofGameDesignThispageintentionallyleftblankTheArtofGameDesignABookofLensesJesseSchellCarnegieMellonUniversityAMSTERDAM•BOSTON•HEIDELBERG•LONDONNEWYORK•OXFORD•PARIS•SANDIEGOSANFRANCISCO•SINGAPORE•SYDNEY•TOKYOMorganKaufmannPublishersisanimprintofElsevierMorganKaufmannPublishersisanimprintofElsevier.30CorporateDrive,Suite400,Burlington,MA01803,USAThisbookisprintedonacid-freepaper.©2008byElsevierInc.Allrightsreserved.Designationsusedbycompaniestodistinguishtheirproductsareoftenclaimedastrademarksorregis-teredtrademarks.InallinstancesinwhichMorganKaufmannPublishersisawareofaclaim,theproductnamesappearininitialcapitalorallcapitalletters.Alltrademarksthatappearorareotherwisereferredtointhisworkbelongtotheirrespectiveowners.NeitherMorganKaufmannPublishersnortheauthorsandothercontributorsofthisworkhaveanyrelationshiporaffiliationwithsuchtrademarkownersnordosuchtrademarkownersconfirm,endorseorapprovethecontentsofthiswork.Readers,however,shouldcontacttheappropriatecompaniesformoreinformationregardingtrademarksandanyrelatedregistrations.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans—electronic,mechanical,photocopying,scanning,orotherwise—withoutpriorwrittenpermissionofthepublisher.PermissionsmaybesoughtdirectlyfromElsevier’sScience&TechnologyRightsDepartmentinOxford,UK:phone:(�44)1865843830,fax:(�44)1865853333,E-mail:permissions@elsevier.com.YoumayalsocompleteyourrequestonlineviatheElsevierhomepage(http://elsevier.com),byselecting“Support&Contact”then“CopyrightandPermission”andthen“ObtainingPermissions.”LibraryofCongressCataloging-in-PublicationDataApplicationsubmittedISBN:978-0-12-369496-6ForinformationonallMorganKaufmannpublications,visitourWebsiteatwww.mkp.comorwww.elsevierdirect.comPrintedintheUnitedStatesofAmerica080910111254321ForNyrawhoalwayslistensThispageintentionallyleftblankviiTableofLenses.....................................................................................