{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 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 "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }1 0 0 0 8 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 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 42 "3D plot of a surface with \+ apparent contour" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 41 "The surface is defined parametrically by " }{XPPEDIT 18 0 "[x,y,z] = [u^3 - uv,v,u]" "6#/7%%\"xG%\"yG%\"zG7%,&*$%\"uG\"\"$\"\"\"%#uvG!\" \"%\"vGF+" }{TEXT 258 11 ".\nWe allow " }{XPPEDIT 18 0 "u" "6#%\"uG" } {TEXT 260 5 " and " }{XPPEDIT 18 0 "v" "6#%\"vG" }{TEXT 262 94 " to ru n from -2 to +2. Later we will clip the result\nto show only the part in the cube where " }{XPPEDIT 18 0 "-2 < x,y,z < 2" "6%2,$\"\"#!\"\"% \"xG%\"yG2%\"zGF%" }{TEXT 264 73 ".\n\nWe plot the surface in wirefram e style, so that we can see through it." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "pic3;" }}{PARA 13 "" 1 "" {GLPLOT3D 496 496 496 {PLOTDATA 3 "6(-%%MESHG6$X.%)anythingG6\"6\"[gl'!%\"!!$^`r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}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "Surface 1 :=\n plot3d(\n [u^3-u*v,v,u],\n u=-2..2,\n v=-2..2,\n style=wire frame\n ):\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "\n# Genera te a separate plot of the apparent contour\nApparentContour :=\n space curve(\n [-2*u^3,3*u^2,u],\n u=-2..2,\n color=red,\n thickness=2\n ):\n\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 368 "# Combine the t wo elements. Maple automatically provides the\n# facility to rotate t he result and view it from different angles.\npic3 := \n display(\n S urface1,\n ApparentContour,\n view=[-2..2,-2..2,-2..2], # clip to t he cube where -2 < x,y,z < 2\n axes=boxed, # enclose i n a box\n shading=zgrayscale,\n labels=['x','y','z'] # label t he axes\n ):\n" }}}}}{MARK "3" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }