(* Mathematica Graphics3D program for A047771 example.
This program produces a hexomino (6 cells) of the tetrahedral clusters with achiral symmetry of type L. The output can be manipulated with the cursor to rotate the figure. *)
newp[a_, b_, c_, d_ ] := 2 (a + b + c)/3 - d;
p1 = {0, 0, 0}; p2 = {0, 1, 1}; p3 = {1, 0, 1}; p4 = {1, 1, 0};
p5 = newp[p2, p3, p4, p1]; p6 = newp[p5, p3, p4, p2]; p7 = newp[p1, p3, p4, p2];
p8 = newp[p5, p6, p4, p3]; p9 = newp[p1, p7, p4, p3];
Show[Graphics3D[{{RGBColor[0, 1, 0], 
    Sphere[{p1, p2, p3, p4, p5, p6, p7, p8, p9}, 0.05]}, {RGBColor[0, 
     1, 0], Sphere[{p3}, 0.0]}, {RGBColor[1, 0.6, 0.6], 
    Cylinder[{{p2, p3}, {p3, p4}, {p2, p4}}, 0.025]}, {RGBColor[0.6, 
     0.6, 1], 
    Cylinder[{{p1, p2}, {p1, p3}, {p1, p4}, {p5, p2}, {p5, p3}, {p5, 
       p4}, {p6, p5}, {p6, p3}, {p6, p4}, {p7, p1}, {p7, p3}, {p7, 
       p4}, {p8, p5}, {p8, p6}, {p8, p4}, {p9, p1}, {p9, p7}, {p9, 
       p4}}, 0.025]}}], Boxed -> False, ViewPoint -> {3, -4, 5}]