WINDOW = {{-2, 2}, {-2, 2}, {-2, 2}};
B1 = 
        ParametricPlot3D[{Sin[ϕ] Cos[θ], 
            Sin[ϕ] Sin[θ], Cos[ϕ]}, {θ, 0, 
            2  π}, {ϕ, 0, π}, PlotRange -> WINDOW, 
          PlotPoints -> 20, DisplayFunction -> Identity, 
          AxesLabel -> {x, y, z}, Ticks -> False];
Show[B1];

B2 = 
        ParametricPlot3D[{u, v, (u^2) + (v^2)}, {u, -2, 2}, {v, -2, 2}, 
          PlotRange -> WINDOW, PlotPoints -> 20, 
          DisplayFunction -> Identity, AxesLabel -> {x, y, z}, 
          Ticks -> False];
Show[B2];

B3 = 
        ParametricPlot3D[{u, v, (u^2) - (v^2)}, {u, -2, 2}, {v, -2, 2}, 
          PlotRange -> WINDOW, PlotPoints -> 20, 
          DisplayFunction -> Identity, AxesLabel -> {x, y, z}, 
          Ticks -> False];
Show[B3];

B41 = 
        ParametricPlot3D[{u, v, (Sqrt[1 + (u^2) + (v^2)])}, {u, -2, 
            2}, {v, -2, 2}, PlotRange -> WINDOW, 
          PlotPoints -> 20, DisplayFunction -> Identity, 
          AxesLabel -> {x, y, z}, Ticks -> False];
B42 = 
        ParametricPlot3D[{u, v, -(Sqrt[1 + (u^2) + (v^2)])}, {u, -2, 
            2}, {v, -2, 2}, PlotRange -> WINDOW, 
          PlotPoints -> 20, DisplayFunction -> Identity, 
          AxesLabel -> {x, y, z}, 
          Ticks -> False];
Show[{B41, B42}];

B51 = 
        ParametricPlot3D[{(Sqrt[(u^2) + 1]) Cos[v], (Sqrt[(u^2) + 1]) 
              Sin[v], u}, {u, -1.5, 1.5}, {v, 0, 2  π}, 
          PlotRange -> WINDOW, DisplayFunction -> Identity, 
          AxesLabel -> {x, y, z}, Ticks -> False];
Show[{B51}];

B61 = 
        ParametricPlot3D[{(Sqrt[(u^2)]) Cos[v], (Sqrt[(u^2)]) Sin[v], 
            u}, {u, -1.5, 1.5}, {v, 0, 2  π}, 
          PlotRange -> WINDOW, DisplayFunction -> Identity, 
          AxesLabel -> {x, y, z}, 
          Ticks -> False];
Show[{B61}];

$TextStyle = {FontFamily -> "Times", 
        FontSize -> 12}

Show[
      GraphicsArray[{{Show[{B61}], Show[B1], Show[{B41, B42}]}, {Show[B3], 
            Show[{B51}], Show[B2]}}], AxesLabel -> {x, y, z}, 
      Ticks -> False]