{VERSION 5 0 "SUN SPARC SOLARIS" "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 Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 
{CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 1 }1 0 0 
-1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "
" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }
{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 1 }3 3 0 -1 -1 -1 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 }{PSTYLE "" 0 256 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 }{PSTYLE "" 0 
257 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 }{PSTYLE "" 0 258 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 {PARA 256 "" 0 "" {TEXT -1 26 "Solving the Frenet System," }}
{PARA 257 "" 0 "" {TEXT -1 47 " for prescribed curvature and torsion f
unctions" }}{PARA 258 "" 0 "" {TEXT -1 20 "Math 4530  Spring 05" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 75 "with(DEtools):with(plots):\n   #need DEtools
 to solve differential equations" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warni
ng, the name changecoords has been redefined\n" }}}{PARA 0 "" 0 "" 
{TEXT -1 108 "Here's a pretty self-explanatory procedure which solves \+
the Frenet system, taken more or less from the text." }}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 1126 "recreate3dview:=proc(kap,ta,a,b,c,d,e,f
,g,h)\n   #kap=curvature,ta=torsion\n   #arclength parameter from a to
 b\n   #c..d, e..f, g..h are x-y-z ranges for plot\nlocal\n   sys,   #
the Frenet system\n   p ,    #dummy for ODE solution to Frenet system
\n   ics,   #initial conditions\n   p1;    #name for ODEplot of p\nsys
:=\n   diff(alph1(s),s)=T1(s),\n   diff(alph2(s),s)=T2(s),\n   diff(al
ph3(s),s)=T3(s),\n   diff(T1(s),s)=kap(s)*N1(s),\n   diff(T2(s),s)=kap
(s)*N2(s),\n   diff(T3(s),s)=kap(s)*N3(s),\n   diff(N1(s),s)=-kap(s)*T
1(s)+ta(s)*B1(s),\n   diff(N2(s),s)=-kap(s)*T2(s)+ta(s)*B2(s),\n   dif
f(N3(s),s)=-kap(s)*T3(s)+ta(s)*B3(s),\n   diff(B1(s),s)=-ta(s)*N1(s),
\n   diff(B2(s),s)=-ta(s)*N2(s),\n   diff(B3(s),s)=-ta(s)*N3(s);\nics:
=\n   alph1(0)=0,alph2(0)=0,alph3(0)=0,\n   T1(0)=1,T2(0)=0,T3(0)=0,\n
   N1(0)=0,N2(0)=1,N3(0)=0,\n   B1(0)=0,B2(0)=0,B3(0)=1;\np:=dsolve(\{
sys,ics\},\{alph1(s),alph2(s),alph3(s),\n   T1(s),T2(s),T3(s),N1(s),N2
(s),N3(s),\n   B1(s),B2(s),B3(s)\},type=numeric);\np1:=odeplot(p,[alph
1(s),alph2(s),alph3(s)],a..b,\n   numpoints=200,thickness=1,axes=boxed
,color=black):\ndisplay(p1,scaling=constrained,view=[c..d,e..f,g..h]);
\nend:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 
82 "Here are some examples:  \nExample 1:  A helix, with constant curv
ature and torsion" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "kap1:=s
->2;\ntor1:=s->.5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%kap1G\"\"#" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%tor1G$\"\"&!\"\"" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 45 "recreate3dview(kap1,tor1,0,20,-1,3,-1,3,0
,4);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6'-%'CURVE
SG6%X,%)anythingG6\"6\"[gl'!%\"!!#c`m\"cw\"$00000000000000000000000000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-%'COLOURG6&%$RG
BG\"\"!F.F.-%*THICKNESSG6#\"\"\"-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABE
LSG6%Q&alph1F)Q&alph2F)Q&alph3F)-%*AXESSTYLEG6#%$BOXG-%%VIEWG6%;$!\"\"
F.$\"\"$F.FD;$F.F.$\"\"%F." 1 2 0 1 10 0 2 1 1 2 1 1.000000 72.000000 
42.000000 0 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT -1 10 "Example 2:" }
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "kap1:=s->.2*s;\ntor1:=s->.5
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%kap1Gf*6#%\"sG6\"6$%)operatorG
%&arrowGF(,$*&$\"\"#!\"\"\"\"\"9$F1F1F(F(F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%tor1G$\"\"&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 46 "recreate3dview(kap1,tor1,0,20,0,10,-5,5,-5,5);" }}
{PARA 13 "" 1 "" {GLPLOT3D 290 290 290 {PLOTDATA 3 "6'-%'CURVESG6%X,%)
anythingG6\"6\"[gl'!%\"!!#c`m\"cw\"$0000000000000000000000000000000000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-%'COLOURG6&%$RGBG\"\"!F
.F.-%*THICKNESSG6#\"\"\"-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%Q&a
lph1F)Q&alph2F)Q&alph3F)-%*AXESSTYLEG6#%$BOXG-%%VIEWG6%;$F.F.$\"#5F.;$
!\"&F.$\"\"&F.FH" 1 2 0 1 10 0 2 1 1 2 1 1.000000 78.000000 59.000000 
0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}
{MARK "13 0 0" 46 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 
2 33 1 1 }