Question: Closed piecewise function in 3-dimensional cartesian space of graph

How can I draw following piecewise closed function in  3-dimensional cartesian space

t:=piecewise(x>0 and y>0 and z>0,D124,x<0 and y<0 and z>0,D134,x<0 and y>0 and z<0,D123,x>0 and y<0 and z<0,D234); 

 


         max(-x + y + z, x - y + z, x + y - z) = 1 ,  0 < x and 0 < y and 0 < z
         max(-x - y - z, -x + y + z, x - y + z) = 1 ,  x < 0 and y < 0 and 0 <                                                           t:=     max(-x - y - z, -x + y + z, x + y - z) = 1 ,   x < 0 and 0 < y and z < 0
         max(-x - y - z, x - y + z, x + y - z) = 1 ,     0 < x and y < 0 and z < 0

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