{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE " " -1 262 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 14 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE " " -1 275 "" 1 12 0 0 0 0 0 2 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 -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 8 4 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 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "" 4 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 1 {PARA 3 "" 0 "" {TEXT 264 6 "ADATOK" }{TEXT 263 1 " " }{TEXT 265 40 "(Ezek k\366z\374l egyszerre egy olvashat\363 be.)" }} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 7 "sz1 " }{TEXT 256 1 "(" }{TEXT 275 15 "henger pal\341st )" }{TEXT -1 1 "\000" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 296 "restart: with(plots):with(plottools):\n a:=-1: \+ b:=1: # sz\351less\351g\n c:=0: d:=Pi: # hossz\372s\341g\n r:=5: \+ # ker\374let\n emel:=0: # kiemelked\351s az xy s\355kb\363l\n s1 := BLUE: s2:= RED: # perem sz\355nei \n k:=0: # Csavar\341s m\351rt \351ke (Henger pal\341st)\n p:=1: # Hull\341mz\341s m\351rt\351ke (He nger pal\341st)\n nev:=`sz1.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT 260 3 "sz2" } {TEXT -1 1 " " }{TEXT 256 4 " " }{TEXT 274 48 "(henger pal\341st eg ym\341s felett \341t\355vel\365 r\351szekkel )" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 307 "restart: with(plots):with(plottools):\n a:=-1: \+ b:=1: # sz\351less\351g\n c:=0: d:=Pi: # hossz\372s\341g\n r:=8: \+ # ker\374let\n emel:=1.5*sin(2*t): # kiemelked\351s az xy s\355k b\363l\n s2:= BLUE: s1:= RED: # perem sz\355nei \n k:=0: # Csavar\341 s m\351rt\351ke (Henger pal\341st)\n p:=3: # Hull\341mz\341s m\351rt \351ke (Henger pal\341st)\n nev:=`sz2.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT 259 7 "sz3 \+ " }{TEXT 261 27 "(\366n\341tmetsz\365 henger pal\341st )" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 296 "restart: with(plots):w ith(plottools):\n a:=-1: b:=1: # sz\351less\351g\n c:=0: d:=Pi: # hoss z\372s\341g\n r:=8: # ker\374let\n emel:=0: # kiemelked\351 s az xy s\355kb\363l\n s2:= BLUE: s1:= RED: # perem sz\355nei \n k:=0: # Csavar\341s m\351rt\351ke (Henger pal\341st)\n p:=3: # Hull\341mz \341s m\351rt\351ke (Henger pal\341st)\n nev:=`sz3.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT 262 0 "" }{TEXT 256 7 "sz4 " }{TEXT 272 32 "( k\351tszer csvart he nger pal\341st)" }{TEXT 273 1 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 296 "restart: with(plots):with(plottools):\n a:=-1: b:=1: # sz\351 less\351g\n c:=0: d:=Pi: # hossz\372s\341g\n r:=5: # ker\374let \n emel:=0: # kiemelked\351s az xy s\355kb\363l\n s1:= BLUE: s2:= \+ RED: # perem sz\355nei \n k:=2: # Csavar\341s m\351rt\351ke (Henger p al\341st)\n p:=1: # Hull\341mz\341s m\351rt\351ke (Henger pal\341st) \n nev:=`sz4.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 0 "" }{TEXT 258 7 "sz5 " }{TEXT 268 40 "(M\351g \366ssze nem ragasztott M\366bius szalag)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 301 "restart: with(plots):with(plottool s):\n a:=-1: b:=1: # sz\351less\351g\n c:=0: d:=4*Pi/5: # hossz\372s \341g\n r:=5: # ker\374let\n emel:=0: # kiemelked\351s az x y s\355kb\363l\n s1:= RED: s2:=BLUE: # perem sz\355nei \n k:=5/4: # C savar\341s m\351rt\351ke (M\366bius szalag)\n p:=1: # Hull\341mz\341s m\351rt\351ke (Henger pal\341st)\n nev:=`sz5.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 0 " " }{TEXT 256 4 " sz6" }{TEXT 269 18 " (M\366bius szalag)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 299 "restart: with(plots):with(plottool s):\n a:=-1: b:=1: # sz\351less\351g\n c:=0: d:=Pi: # hossz\372s\341g \n r:=5: # ker\374let\n emel:=0: # kiemelked\351s az xy s \355kb\363l\n s1:= BLACK: s2:= BLACK: # perem sz\355nei \n k:=1: # Cs avar\341s m\351rt\351ke (M\366bius szalag)\n p:=1: # Hull\341mz\341s \+ m\351rt\351ke (Henger pal\341st)\n nev:=`sz6.wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT 266 0 " " }{TEXT 256 7 "sz7 " }{TEXT 267 86 "(K\351tszer k\366rbefut\363 k \351tszer csavart szalag - mint egy hossz\341ban elv\341gott M\366bius szalag)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 309 "restart: with(p lots):with(plottools):\n a:=.15: b:=1: # sz\351less\351g\n c:=0: d:=2* Pi: # hossz\372s\341g\n r:=3: # ker\374let\n emel:=0.25*cos(t): # kiemelked\351s az xy s\355kb\363l\n s2:= BLUE: s1:= RED: # pere m sz\355nei \n k:=1: # Csavar\341s m\351rt\351ke (Henger pal\341st)\n p:=1: # Hull\341mz\341s m\351rt\351ke (Henger pal\341st)\n nev:=`sz7 .wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 256 "" 0 "" {TEXT -1 0 "" }{TEXT 256 4 "sz8 " }{TEXT 270 67 " ( K\351tszer csavart, 8-as alak\372,egym\341s felett elfut\363 henger p al\341st)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 307 "restart: with( plots):with(plottools):\n a:=-1: b:=1: # sz\351less\351g\n c:=0: d:=Pi : # hossz\372s\341g\n r:=8: # ker\374let\n emel:=1.5*sin(2*t): \+ # kiemelked\351s az xy s\355kb\363l\n s2:= BLUE: s1:= RED: # perem sz\355nei \n k:=0: # Csavar\341s m\351rt\351ke (Henger pal\341st)\n \+ p:=2: # Hull\341mz\341s m\351rt\351ke (Henger pal\341st)\n nev:=`sz8. wrl`:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 0 "" }{TEXT 256 6 "sz9 " }{TEXT 271 57 "(K \351tszer csavart , 8-as akak\372 \366n\341tmetsz\365 henger pal\341 st)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 296 "restart: with(plots) :with(plottools):\n a:=-1: b:=1: # sz\351less\351g\n c:=0: d:=Pi: # ho ssz\372s\341g\n r:=8: # ker\374let\n emel:=0: # kiemelked \351s az xy s\355kb\363l\n s2:= BLUE: s1:= RED: # perem sz\355nei \n k :=0: # Csavar\341s m\351rt\351ke (Henger pal\341st)\n p:=2: # Hull \341mz\341s m\351rt\351ke (Henger pal\341st)\n nev:=`sz9.wrl`:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 8 "Sz\341mol \341s" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 640 "racs:=round(36*(d- c)/Pi)+1: vonal:=(b-a)/15:\nu:=r*cos(2*t):\nv:=r*sin(2*p*t)/p:\nw:=eme l:\nx:= u + f*sin(k*t)*cos(2*t): \ny:= v + f*sin(k*t)*sin(2*t): \nz:= \+ w + f*cos(k*t): \nxb:= u + a*sin(k*t)*cos(2*t): \nyb:= v + a*sin(k*t)* sin(2*t):\nzb:= w + a*cos(k*t): \nxj:= u + b*sin(k*t)*cos(2*t): \nyj:= v + b*sin(k*t)*sin(2*t):\nzj:= w + b*cos(k*t): \nszalag:=plot3d([x,y, z],f=a..b,t=c..d,\ngrid=[5,racs],scaling=CONSTRAINED): vonal1:=tubeplo t(\{[xb,yb,zb]\},t=c..d,radius=vonal,grid=[racs,5],scaling=CONSTRAINED , color=s1, style=PATCHNOGRID):\nvonal2:=tubeplot(\{[xj,yj,zj]\},t=c. .d,radius=vonal,grid=[racs,5],scaling=CONSTRAINED, color=s2, style=PA TCHNOGRID):" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 0 "" }{TEXT 257 12 " Megjelen\355t\351s" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "displa y3d(szalag,vonal1,vonal2,style=PATCH, orientation=[-120,60]);" }{TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 0 "" }{TEXT 256 19 "VRML \+ f\341jl k\351sz\355t\351se" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 170 "vrml(display3d(szalag,vonal1,vonal2,color=COLOR(RGB,0.6,0.5,0),st yle=PATCHNOGRID),nev, background_color=COLOR(RGB,0,1,1), shininess=0.3 , specular_color=COLOR(RGB,1,1,1)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "1 0 0" 8 }{VIEWOPTS 1 1 1 1 1 1803 }