{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "" 0 0 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "Help Heading" -1 26 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "TXT CMD" -1 256 "" 0 0 128 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE " Bookmark" 20 257 "" 0 0 0 128 0 1 1 0 0 0 0 1 0 0 0 }{CSTYLE "word" -1 258 "Times" 0 0 128 0 0 1 0 1 0 0 0 0 0 0 0 }{CSTYLE "bookmark" -1 259 "" 0 0 0 128 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "Problem" -1 260 "" 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "newpa ge" -1 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 1 0 -1 0 }{PSTYLE "vfill" -1 257 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Definition" -1 258 1 {CSTYLE "" -1 -1 "" 0 0 0 64 128 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Theorem" -1 259 1 {CSTYLE "" -1 -1 "" 0 0 219 36 36 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Problem" -1 260 1 {CSTYLE "" -1 -1 " " 0 0 0 0 255 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 3 4 0 0 0 0 -1 0 } {PSTYLE "dblnorm" -1 261 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 2 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "code" 2 262 1 {CSTYLE "" -1 -1 "Comic Sans MS" 0 0 128 0 128 1 0 1 0 0 0 0 3 0 0 }0 0 0 -1 -1 -1 3 12 0 0 0 0 -1 0 }{PSTYLE "asis" 0 263 1 {CSTYLE "" -1 -1 "Arial Narrow" 1 12 128 64 0 1 0 0 0 0 0 1 3 0 0 }0 0 0 -1 -1 -1 3 6 0 0 0 0 0 0 }{PSTYLE "subproblem" 0 264 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "dia gram" -1 265 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "dblnorm.mws" -1 266 1 {CSTYLE " " -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 2 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Item" 0 267 1 {CSTYLE "" -1 -1 "Lucida Sans" 1 12 0 0 0 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 6 -1 3 0 0 0 0 0 -1 0 }{PSTYLE "" 0 268 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 269 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 270 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 0 {PARA 3 "" 0 "" {TEXT -1 14 "More Exercises" }}{EXCHG {PARA 260 "" 0 "" {TEXT -1 67 "Exercise: Modify the vertices of \"box \" below to make a \"lightpole\" " }{MPLTEXT 1 0 1 " " }{TEXT -1 105 " with the unit square as base and 3 units high. This can be done by mod ifying the following instructions." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 368 "v1:=[.5,0,0]: v2:=[.5,.5,0]: v3:=[.5,.5,3]: v4:=[.5, 0,3]: \n v5:=[0,0,0]: v6:=[0,.5,0]: v7:=[0,.5,3]: v8:=[0,0,3]:\n front := [v1,v2,v3,v4]: back := [v5,v6,v7,v8]:\n left := [v1,v5,v8,v4]: ri ght := [v2,v6,v7,v3]:\n top := [v4,v3,v7,v8]: bottom := [v1,v2,v6,v5]: \n pole := plots[polygonplot3d]([front,back,left,right,top,bottom],st yle=patch,color=tan,scaling=constrained):" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 15 "EXERCISE: Use " }{TEXT 256 16 "plottool[sphere]" }{TEXT -1 89 " to place a \+ light on top of the pole in the form of a sphere one unit in diameter . " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 77 "EXERCISE: Place the lightpole on a rectangula r area according to the diagram." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 268 "" 0 "" {INLPLOT "6%-%)POLYGONSG6%7&7$$!\"&!\"\"F(7$$\"\"&F* F(7$F,F,7$F(F,-%'COLOURG6&%$RGBG$\")`B)e)!\")$\")fqkdF6$\")p:#R%F6-%&S TYLEG6#%&PATCHG-F$6%7&7$$F)\"\"!FC7$$\"#5FDFC7$FF$F-FD7$FCFI-F16&F3FD$ \"*++++\"F6FDF;-%(SCALINGG6#%,CONSTRAINEDG" 2 223 183 183 2 0 1 0 2 9 0 4 1 1.000000 45.000000 45.000000 10030 10061 10056 10074 0 0 0 20030 0 12010 0 0 0 0 0 0 0 1 1 0 0 0 40 146 0 0 0 0 0 0 }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 12 "DIAGRAM CO DE" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 268 "base:=plots[polygonpl ot]([ [-.5,-.5], [ .5,-.5], [ .5,.5], [-.5,.5]], style=patch,colo r=tan, scaling=constrained): ground:=plots[polygonplot]([[ -5,-5 ],[ 1 0,-5 ],[ 10, 5 ],[ -5, 5 ]],color=green, style=patch ):\nplots[display ]([base, 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EG-%(SCALINGG6#%,CONSTRAINEDG" 3 205 178 178 1 0 1 0 2 1 0 1 1 1.000000 45.000000 45.000000 14040 14091 14086 14104 14112 15010 15070 20040 0 17050 0 0 0 0 0 0 0 1 0 391 1466 0 -102 28234 0 0 0 0 0 0 }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 26 1 " " }}} {SECT 0 {PARA 4 "" 0 "" {TEXT -1 14 "Wall Placement" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "wall:=plots[polygonplot3d]([[ 10, -5, 0],[ 10,-5,10],[ 10, 5,10],[ 10, 5,0]],color=blue, style=wireframe,thickne ss=2): " }}}{EXCHG {PARA 13 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "plots[display]([light,ground,pole,wall ]);" } }{PARA 13 "" 1 "" {TEXT -1 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "plots[display]([ light,ground,pole,wall,stickperson]);" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 353 "Exercise: Place a \"stickperson\" 5.5 units high midway between the light and the wall. The stickperson is assumed to be two dimensional and to lie entirely in a plane parallel to the wall and p erpendicular to the ground. The diagram below provides a sketch of \"s tickperson\". 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yuYvYwW:yaYmyuy=jyYIxyukyiIxyx?X:::j=jyYIxyukyiIxyx?XJ:X:1:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 19 "PARTIAL STICKPERSON" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 97 "Make individual polygonplot3d plots for \+ stickperson's various components and display stickperson" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT 26 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 117 " leftleg:=[[ 5,-1,0],[ 5,0,2]]: \n Leftleg:= plots[polygonplot3d]( leftleg,style=wireframe, color=orange, thickness =3):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 26 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 " body:=[[ 5,0,2],[ 5,0,3.5]]: \nBo dy:=plots[polygonplot3d](body,style=wireframe, color=red, thickness=3) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 26 1 "\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 115 " leftarm:=[[ 5,0,3],[ 5,-2,3]]: \nLeftar m:=plots[polygonplot3d](leftarm,style=wireframe, color=purple, thickne ss=3):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 26 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 " partialstickperson:=plots[display] ([Leftarm, Body,Leftleg]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 258 "Exercise: Assume that all of the light from the globe emits from the center of the light source and determine sti ckperson's shadow and add it to the picture. Note that the shadow wil l consist of two parts - the part on the ground and the part on the wa ll. " }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 105 "Exercise: Make an anim ation in which the light moves toward stickman. Make the shadow move a ppropriately." }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 82 "Exercise: Put \+ a flag in stickman's hand and extend the shadow to include the flag." }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 118 "Exercise: Animate stickman t o the extent that he/she waves the flag, extend the animation to inclu de the flag shadow. " }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 117 "Exerci se: Make stickperson's head a (three dimensional) cube and extend the \+ shadow. " }}}}{EXCHG {PARA 0 "" 0 "" {HYPERLNK 17 "Table of contents" 1 "vpstoc.mws" "" }{TEXT -1 0 "" }}}} {MARK "0 6 0 0" 22 }{VIEWOPTS 1 1 0 1 1 1803 }