Clear[t, 
        u];

  

u = {{0.00000, 0.00000, 0.00000}, {10.87992, 0, 
            0}, {-3.62657, -10.257495, 0}, {-3.62657, 
            5.128747, -10.257495}, {-3.62657, 5.128747, 
            10.257495}};

ux = 
        Table[u[[i, 1]], {i, 1, 5}];
uy = Table[u[[i, 2]], {i, 1, 5}];
uz = 
        Table[u[[i, 3]], {i, 1, 
            5}];

sq = Sqrt[2]/2;

plot1 = 
      Graphics[{  
            Disk[{sq*ux[[2]] - sq*uy[[2]], uz[[2]]}, 0.2], 
          Disk[{sq*ux[[3]] - sq*uy[[3]], uz[[3]]}, 0.2], 
          Disk[{sq*ux[[4]] - sq*uy[[4]], uz[[4]]}, 0.2], 
          Disk[{sq*ux[[5]] - sq*uy[[5]], uz[[5]]}, 
            0.2], {Thickness[0.006], 
            Line[{{0, 0}, {sq*ux[[2]] - sq*uy[[2]], uz[[2]]}}] , 
            Line[{{0, 0}, {sq*ux[[3]] - sq*uy[[3]], uz[[3]]}}], 
            Line[{{0, 0}, {sq*ux[[4]] - sq*uy[[4]], uz[[4]]}}], 
            Line[{{0, 0}, {sq*ux[[5]] - sq*uy[[5]], 
                  uz[[5]]}}]}} ]

Show[
      plot1, {AspectRatio  ->  Automatic, Axes  ->  True, 
        GridLines  ->  Automatic,  
        PlotRange  ->  {{-12, 12}, {-12, 12}},  
        Frame  ->  True}]

  
plot2 = 
      Graphics[{  
            Disk[{-uy[[2]], ux[[2]]}, 0.08], 
          Disk[{-uy[[3]], ux[[3]]}, 0.08], 
          Disk[{-uy[[4]], ux[[4]]}, 0.08], 
          Disk[{-uy[[5]], ux[[5]]}, 0.08], {Thickness[0.006], 
            Line[{{0, 0}, {-uy[[2]], ux[[2]]}}] , 
            Line[{{0, 0}, {-uy[[3]], ux[[3]]}}], 
            Line[{{0, 0}, {-uy[[4]], ux[[4]]}}], 
            Line[{{0, 0}, {-uy[[5]], 
                  ux[[5]]}}]}} ]

Show[
      plot2, {AspectRatio  ->  Automatic, Axes  ->  True, 
        GridLines  ->  Automatic,  
        PlotRange  ->  {{-14, 14}, {-14, 14}},  
        Frame  ->  
          True}]