In 13 lines. The actual logic is 3 lines.
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Canvas.setpenopacity(0.8);
const turtle = new Turtle();
turtle.penup();
turtle.left(90);
turtle.goto(-50,20);
turtle.pendown();
function walk(i) {
turtle.forward(0.5);
turtle.left(((i&-i)<<1)&i?90:-90);
return i < 2**16+1;
}