intothecontinuum:

Mathematica code:

Rot60 = 
 Table[
  Table[
   RotationTransform[a, {1, 1, 0}, {0, 0, 0}][Tuples[{-1, 1}, 3][[v]]],
  {v, 1, 8, 1}],
{a, 0, 2 Pi, 2 Pi/60}]

Edge := {1, 2, 4, 3, 7, 8, 6, 5, 1, 3, 4, 8, 7, 5, 6, 2}

CubeProjections[color_, pr_, b_, s_, h_, w_, m_, a_] :=
Graphics[
 Table[
  Translate[
   {AbsoluteThickness[h], If[color == 0, Black, White],
    Line[
     Table[
      Table[
       Rot60[[1 + Mod[w (y + m*x) + a, 60]]][[Edge[[k]]]][[c]],
       {c, 1, 2, 1}],
      {k, 1, 16, 1}]]},
   {s*x, s*y}],
  {x, -6, 6, 1}, {y, -b, b, 1}],
 PlotRange -> {{-pr/3, pr/3}, {-pr+1, pr-1}}, ImageSize -> 500, 
 Background -> If[color == 0, White, Black]
 ]

Manipulate[
PM = {color, pr, b, s, h, w, m, a};
CubeProjections[color, pr, b, s, h, w, m, a],
{color, 0, 1, 1}, {{pr, 17}, 1, 52}, {{b, 5}, 1, 20, 1},
{{s, 3}, 0, 5}, {{h, 1}, .01, 10},
{{w, 1}, 0, 20, 1},{{m, 1}, 0, 20, 1},
{a, 1, 60, 1}]

P = {0, 29, 20, 1.3, 2.5, 1, 0, 0}

Manipulate[
 CubeProjections30[P[[1]], P[[2]], P[[3]], P[[4]], P[[5]], P[[6]], 
  P[[7]], a],
 {a, 1, 30, 1}]