Question: Variables do not define

The purpose is to display the projection of a 3D plane, defined by the points of P. "res" contains the points projected on a 2D plane and all variables beginning with "vlak" contain the points from res that should be connected to form a plane. The command polygonplot connects the points. Every time, it gives the error message "Error, (in plots:-polygonplot) points are not in the correct format". When I copy the code to a place outside the procedure, I discovered some variables are not defined.

restart:with(linalg):with(LinearAlgebra):with(VectorCalculus):with(plots): eerste:=proc(V,N,P) local M,M1,M2,I4,NT; NT:=Transpose(N); M1:=V.NT; I4:=IdentityMatrix(4); M2:=(N.V).I4; M:=M1-M2; M.P; end proc: tweede:=proc(OS,r,s,P1) local VC,K: K:=Matrix(4,3,[r,s,OS]); VC:=(MatrixInverse(Transpose(K).K)).Transpose(K); VC.P1; end proc: project:=proc(P,V,N,OS,r,s) local P1,P2,i,j,n: P1:=eerste(V,N,P); P2:=tweede(OS,r,s,P1); n:=ColumnDimension(P2); for i from 1 to n do for j from 1 to 2 do P2[j,i]:=P2[j,i]/P2[3,i]; end do: end do: DeleteRow(P2,3); end proc: P:=Matrix([[ 0 , 10 , 10 , 0 , 0 , 10 , 10 , 0 , 5 ], [ 0 , 0 , 10 , 10 , 0 , 0 , 10 , 10 , 5 ], [ 0 , 0 , 0 , 0 , 30 , 30 , 30 , 30 , 40 ], [ 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 ]]): V:=Vector([60,60,50,1]); N:=Vector([1,0,0,0]); OS:=Vector([10,10,0,1]); r:=Vector([0,1,0,0]); s:=Vector([0,0,1,0]); Vector[column](%id = 18446744073889448174) Vector[column](%id = 18446744073889448414) Vector[column](%id = 18446744073889448534) Vector[column](%id = 18446744073889448654) Vector[column](%id = 18446744073889448774) translatie:=t->Matrix([[ 1 , 0 , 0 , 1*t ], [ 0 , 1 , 0 , 1*t ], [ 0 , 0 , 1 , 0 ], [ 0 , 0 , 0 , 1 ]]); [1 0 0 VectorCalculus:-*(1, t)] [ ] [0 1 0 VectorCalculus:-*(1, t)] t -> [ ] [0 0 1 0 ] [ ] [0 0 0 1 ] f:=proc(t) local volgende,res,vlak_onder,vlak_links,vlak_voor,vlak_rechts,vlak_boven,vlak_achter,vlak1,vlak2,vlak3,vlak4,pp1,pp2,pp3,pp4,pp5,pp6,pp7,pp8,pp9,pp10: volgende:=MatrixMatrixMultiply(translatie(t),P): res:=project(volgende,V,N,OS,r,s): vlak_onder :=Transpose(Matrix([Column(res,1),Column(res,2),Column(res,3),Column(res,4)])): vlak_links :=Transpose(Matrix([Column(res,1),Column(res,2),Column(res,6),Column(res,5)])): vlak_voor :=Transpose(Matrix([Column(res,2),Column(res,3),Column(res,7),Column(res,6)])): vlak_rechts:=Transpose(Matrix([Column(res,3),Column(res,4),Column(res,8),Column(res,7)])): vlak_achter:=Transpose(Matrix([Column(res,1),Column(res,4),Column(res,8),Column(res,5)])): vlak_boven :=Transpose(Matrix([Column(res,5),Column(res,6),Column(res,7),Column(res,8)])): vlak1:=Transpose(Matrix([Column(res,8),Column(res,7),Column(res,9)])): vlak2:=Transpose(Matrix([Column(res,8),Column(res,7),Column(res,9)])); vlak3:=Transpose(Matrix([Column(res,8),Column(res,5),Column(res,9)])); vlak4:=Transpose(Matrix([Column(res,5),Column(res,6),Column(res,9)])); pp1:=polygonplot(vlak_onder): pp2:=polygonplot(vlak_links): pp3:=polygonplot(vlak_voor): pp4:=polygonplot(vlak_rechts): pp5:=polygonplot(vlak_achter): pp6:=polygonplot(vlak_boven); pp7:=polygonplot(vlak1); pp8:=polygonplot(vlak2); pp9:=polygonplot(vlak3); pp10:=polygonplot(vlak4); {pp1,pp2,pp3,pp4,pp5,pp6,pp7,pp8,pp9,pp10}: end proc: display(f(0),scaling=constrained); Error, (in plots:-polygonplot) points are not in the correct format

Above, you can see the code. When only pp1->pp7 is displayed, and pp8->pp10 is placed between commenting marks, it works fine. Otherwise it doesn't work, it looks like Maple does not define the variables pp8->pp10. I don't understand because there is no difference between pp7 and pp8.

Thanks in advance