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

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

D124:=max(-x+y+z,x-y+z,x+y-z)=1; 
D134:=max(-x+y+z,x-y+z,-x-y-z)=1;
D123:=max(-x+y+z,x+y-z,-x-y-z)=1;
D234:=max(x+y-z,x-y+z,-x-y-z)=1;

 

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);

 

 

t :=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 < z
       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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