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I currently have a recursion done in 3D.

At the moment, I am able to manipulate the points, but I cannot use "Joined->True" to connect them Currently this is what I have

z[1, t_] := {1, 1, 1};
A3[t_] := {{1, -t, 0}, {t, 1, -t}, {0, t, t + 1}}
W[t_] := Inverse[(IdentityMatrix[3] + A3[t])];
z[n_Integer, t_] /; n > 0 := W[t].z[n - 1, t];

Manipulate[
 ListPointPlot3D[Table[z[n, t], {n, 1, 10}], Mesh -> Full, 
  Joined -> True, PlotRange -> All, InterpolationOrder -> 1], {t, 0, 
  1}]

Any idea on how to connect the points?

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Yes. Don't know why I did that –  sidht Apr 27 '13 at 23:40
    
I deleted my comment, since it's fixed now. I'll delete this one later. –  Michael E2 Apr 28 '13 at 16:59

1 Answer 1

up vote 3 down vote accepted
Manipulate[
 Graphics3D[{Line@#, PointSize@Large, Red, Point@#} &@ Table[z[n, t], {n, 1, 10}], 
            PlotRange -> {{-1, 1}, {-1, 1}, {-1, 1}}], {t, 0, 1}]

enter image description here

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