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objects and \+ view them in lower dimensions." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 99 "1. First choose points e1,e2,e3,e4, ... \+ to represent points in whichever space you are thinking. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 105 "2. Draw a sketch of the object - even if it can't be drawn in 3 dimensions - lets make a general object: " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 83 "3. Represent the object by abstractly listing its two \+ dimensional faces as a list." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 43 "4. Assign values to the points e1, e2, ... " }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 106 "5. Choos e a direction from which to project the object and project it onto a s pace of one less dimensions " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 36 "Lets begin with the cube in 3 space." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 287 "" 0 "" {OLE 1 75265 1 "[xm]Br=Wfo RrB:::wk;nyyI;G:;:J;j:J:ZJJ;j:JyyyyyI<:^:vyyyyy=:::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::uyyyyy]>wAwyyyqxK=j=J> j>J?j?J@j@>:W:YJ:><:y;;\\:FBNBVB^BfBnBvB>C FCNCVC^CfCnCvC>DIFINIVI^IfInIvI>J>ELq^H_mvJ::::: :::gjR<:T><::;tP[bbaEKsW:A:;R:B:F:AlqfG[maNFO=;::::::: :_J;@J@Wlj^HMMufF;J:::::::N=?R:=:AZ:vYxY:B ::::::f:;JLYk:J:F::];MLt:;::::::wJ;@jyyyyyI:;Z::::::J;j:wAwAjy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::j:nyyYZDjysyOj;B:;JZC:bKIZ:>d::::::::::j:b:B:::::::::::::::::::::::::::::::::::::::::: :::::::::::=^:NJVJ^JfJnJvJ>KFKNK :;JUJNJMkAk:>=>:St?=Jau:Ch=:yay=:::::::::::::::: 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