The map p[x,y,z,w]=(ax + z + cw , y + bx + dw) sends
(1000) to (a,b), (0100) to (0,1), (0010) to (1,0),(0001) to (c,d).
Each choice of a,b,c,d gives a different view of the Hypercube.
To choose a view, make a choice of abcd in the formula for p,
evaluate it, along with the line "Edges of the Hypercube". Put this abcd in the PlotLabel, and evaluate Show.