{VERSION 6 0 "IBM INTEL NT" "6.0" } {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 } {CSTYLE "" -1 35 "" 0 1 104 64 92 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier " 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output " -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "restart:with(geom3d) :with(linalg):with(plots):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 127 "Pr ogramme de vision en relief d'un poly\350dre R. ferreol 2005;\n regard er avec lunettes \340 verre gauche rouge, et verre droit bleu." }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 120 "L'oeil est plac\351 en A=(a,b,c), regarde un objet plac\351 en M=(x,y,z) a travers le plan passant par \+ O et orthogonal \340 (OA)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 196 "X:=(1-t)*a+t*x:\nY:=(1-t)*b+t*y:\nZ:=(1-t)*c+t*z:\nt:=solve(a*X+b *Y+c*Z,t):r:=sqrt(a^2+b^2+c^2):s:=sqrt(a^2+b^2):A:=matrix(3,3,[a/r,-b/ s,-a*c/r/s,b/r,a/s,-b*c/r/s,c/r,0,(a^2+b^2)/r/s]):B:=inverse(A):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "C:=simplify(multiply(B,matri x(3,1,[X,Y,Z]))):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 235 "le suffixe \+ r (comme rouge), concerne l'oeil droit (comme il regarde par le verre \+ bleu, il ne voit que le trac\351 rouge)\nle suffixe b (comme bleu), co ncerne l'oeil gauche (comme il regarde par le verre rouge, il ne voit \+ que le trac\351 bleu)" }{TEXT 256 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 243 "xr:=subs([a=ar,b=br,c=cr],s*C[2,1]):xr:=unapply(xr,[ x,y,z]):\nxb:=subs([a=ab,b=bb,c=cb],s*C[2,1]):xb:=unapply(xb,[x,y,z]): \nyr:=subs([a=ar,b=br,c=cr],s*C[3,1]):yr:=unapply(yr,[x,y,z]):\nyb:=su bs([a=ab,b=bb,c=cb],s*C[3,1]):yb:=unapply(yb,[x,y,z]):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 156 "l'oeil droit a pour longitude theta+eps \+ et pour latitude lambda ; l'oeil gauche a pour longitude theta-eps et \+ pour latitude lambda ; la distance \340 O est d." }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 211 "d:=5:theta:=Pi/5:lambda:=Pi/5:eps:=0.05:\na r:=d*cos(theta+eps)*cos(lambda):br:=d*sin(theta+eps)*cos(lambda):cr:=d *sin(lambda):\nab:=d*cos(theta-eps)*cos(lambda):bb:=d*sin(theta-eps)*c os(lambda):cb:=d*sin(lambda):\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 308 "projb:=proc(M)\n[xb(seq(M[i],i=1..3)),yb(seq(M[i],i=1..3))]\n end:\nprojfaceb:=proc(face)\nmap(projb,face)\nend:\nprojpolyb:=proc(po ly)\nmap(projfaceb,poly)\nend:\nprojr:=proc(M)\n[xr(seq(M[i],i=1..3)), yr(seq(M[i],i=1..3))]\nend:\nprojfacer:=proc(face)\nmap(projr,face)\ne nd:\nprojpolyr:=proc(poly)\nmap(projfacer,poly)\nend:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "u:=cos(theta)*cos(lambda):v:=sin(th eta)*cos(lambda):w:=sin(lambda):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "hexahedron(p,point(o,u,v,w),1):cube:=evalf(faces(p)) :\ndodecahedron(pp,point(o,-2*u,-2*v,-2*w),1):poly:=evalf(faces(pp)): " }}{PARA 8 "" 1 "" {TEXT -1 65 "Error, attempting to assign to `geom3 d:-cube` which is protected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 237 "display(plot(projpolyr(poly),color=red),\nplot(projpolyb(poly), color=COLOR(RGB, 0/256, 256/256, 256/256)),\nplot(projpolyr(cube),col or=red),\nplot(projpolyb(cube),color=COLOR(RGB, 0/256, 256/256, 256/2 56)),\naxes=none,scaling=constrained);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 7 "" 1 "" {TEXT -1 154 "Warning, unable to evaluate t he functions to numeric values in the region; see the plotting command 's help page to ensure the calling sequence is correct\n" }}{PARA 7 " " 1 "" {TEXT -1 154 "Warning, unable to evaluate the functions to nume ric values in the region; see the plotting command's help page to ensu re the calling sequence is correct\n" }}{PARA 13 "" 1 "" {GLPLOT2D 398 395 395 {PLOTDATA 2 "6>-%'CURVESG6$7'7$$\"0cBPUpJ4$!#9$!0ClL(H:na! #:7$$\"09G]U\\h(=F*$!0a))Hl$QM;F*7$$\"0&y%y&[VlcF-$!0_dd0y.!Q!#;7$$\"0 BX*>(>u:\"F*$\"0S4#fJ85?F*7$$\"0d)y%4@Ho#F*$\"0?gwv#Qa:F*-%'COLOURG6&% $RGBG$\"*++++\"!\")$\"\"!FKFJ-F$6$7'7$$\"00nJb#p[)*F-$!0;\"\\VJnRCF*7$ $\"07LyFCrV#F*$!0Xx_-.%Q6F*F'F.7$$\"0H-[Y%))*3&F-$!0-Zjf!>iGF*FC-F$6$7 '7$$!0&HsVL\"*GCF*$\"0)G\"\\0xW-&F-7$$!0\\V&=I\"RC#F*$\"0jGs!pxs7F*7$$ !0DL?.'>3gF-$\"0Q6^Q+Kq#F*7$$!0,w*4\"H!oD#F87$ $!0-?\"4(oW:&F-$!0zdE],lj\"F*7$$!0!4#\\)=MM?F*$!0!**)G*p-Y9F*FC-F$6$7' 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"Curve 20" "Curve 21" "Curve 22" "Curve 23" "Curve 24" " Curve 25" "Curve 26" "Curve 27" "Curve 28" "Curve 29" "Curve 30" "Curv e 31" "Curve 32" "Curve 33" "Curve 34" "Curve 35" "Curve 36" "Curve 37 " "Curve 38" "Curve 39" "Curve 40" "Curve 41" "Curve 42" "Curve 43" "C urve 44" "Curve 45" "Curve 46" "Curve 47" "Curve 48" "Curve 49" "Curve 50" "Curve 51" "Curve 52" "Curve 53" "Curve 54" "Curve 55" "Curve 56 " "Curve 57" "Curve 58" "Curve 59" "Curve 60" "Curve 61" "Curve 62" "C urve 63" "Curve 64" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "#TruncatedTetrahedron(gon, o , r)" }}{PARA 0 "" 0 "" {TEXT -1 25 " TruncatedOctahedron(" } {TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " } {TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 25 " Tru ncatedHexahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 26 " TruncatedIcosahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ") " }}{PARA 0 "" 0 "" {TEXT -1 27 " TruncatedDodecahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 30 " SmallRhom bicuboctahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" } {TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 34 " SmallRhombiicosidodecahedron(" }{TEXT 35 3 "gon" } {TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" } {TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 30 " GreatRhombicuboctah edron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 28 " TruncatedCuboctahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " } {TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }} {PARA 0 "" 0 "" {TEXT -1 34 " GreatRhombiicosidodecahedron(" } {TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " } {TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 32 " Tru ncatedIcosidodecahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 " " 0 "" {TEXT -1 14 " SnubCube(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", \+ " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 1 ")" }} {PARA 0 "" 0 "" {TEXT -1 22 " SnubDodecahedron(" }{TEXT 35 3 "gon " }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " }{TEXT 35 1 "r" } {TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 19 " cuboctahedron(" } {TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" }{TEXT -1 2 ", " } {TEXT 35 1 "r" }{TEXT -1 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 23 " ico sidodecahedron(" }{TEXT 35 3 "gon" }{TEXT -1 2 ", " }{TEXT 35 1 "o" } {TEXT -1 2 ", " }{TEXT 35 1 "r" }{TEXT -1 441 ") duality \+ faces HexakisIcosahedron HexakisOctahed ron \nPentagonalHexacontahedron PentagonalIcositetrahedron P entakisDodecahedron radius RhombicDodecahedron \+ \nRhombicTriacontahedron schlafli TetrakisHe xahedron TrapezoidalHexecontahedron TrapezoidalIcositetrahedron \nTr iakisIcosahedron TriakisOctahedron TriakisTetrahedron \+ ;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "13 1 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }