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I want to draw a Y-shaped branch in Mathematica. I am trying to draw a line of length L. In step II, I want to translate to the ending point of the line. Then I want to rotate at an angle of 45 deg to the right and draw a line of length L*0.66. Then translate back to the ending point of the first line and draw a line to the left by rotating left at an angle of 45deg. I have tried four several hours but got no success. Below is the code which I have tried:

    L = 100;
    Graphics[
        line = Line[{{0, 0}, {0, -L}}];
        Translate[line, {L/2, L}],
        line = Line[{{0, 0}, {0, - L*0.66}}];
        Rotate[line, -30 Degree]
    ]
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  • $\begingroup$ The variable p is undefined. And after Graphics, you want the graphics elements to be enclosed in a List or {..} $\endgroup$ – Michael E2 Sep 2 '18 at 0:48
  • $\begingroup$ Graphics[{Line[{{{0, 0}, {0, -1}}, {{0, 0}, {1/2, 1}}, {{0, 0}, {-1/2, 1}}}]}]? $\endgroup$ – Michael E2 Sep 2 '18 at 1:05
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You can use Rotate, Translate and Scale:

line = Line[{{0, 0}, {0, -L}}];
Graphics[{line, 
 Scale[#, 2/3, {0, 0}] & /@ 
   (Rotate[Translate[line, {0, L}], # Degree, {0, 0}] & /@ {-30, 30})}]

enter image description here

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  • $\begingroup$ Thank you so much. $\endgroup$ – BiSarfraz Sep 2 '18 at 1:36

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