{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{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 "Text \+ Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }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 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{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 "" {TEXT -1 67 "Describe how six identical pipes are joined together symmetrically." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "tau:=1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(plots):w ith(plottools):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name chan gecoords has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "x:=cos(t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "y:=sin( t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "u:=x*tau:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "z:=(1-s)*2+s*u:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "a1:=plot3d([x,y,z],t=-Pi/4..Pi/4,s=0..1,sca ling=constrained,grid=[30,8]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "a2:=rotate(a1,0,0,2*Pi/4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "a3:=rotate(a1,0,0,4*Pi/4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "a4:=rotate(a1,0,0,6*Pi/4):" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 24 "a:=display(a1,a2,a3,a4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "b1:=reflect(a,[[0,0,0],[1,0,tau],[1,1,tau]]): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "b2:=rotate(b1,0,0,2*Pi/ 4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "c:=display(a,b1,b2): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "cc:=reflect(c,[0,0,0]): " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 17 "d:=display 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