Clear[t, 
        u];

t = {{0.00000, 0.00000, 0.00000, 0.59700}, {1.25702, 1.25702, 
            1.25702, 1.58023}, {-1.25702, -1.25702, 1.25702, 
            1.58023}, {1.25702, -1.25702, -1.25702, 
            1.58023}, {-1.25702, 1.25702, -1.25702, 
            1.58023}};
u  =  {{0.00000, 0.00000, 0.00000}, {1.61672, 1.61672, 
            1.61672}, {-1.61672, -1.61672, 
            1.61672}, {1.61672, -1.61672, -1.61672}, {-1.61672, 
            1.61672, -1.61672}};

x = Table[t[[i, 1]], {i, 1, 5}];
y = Table[t[[i, 2]], {i, 1, 5}];
z = Table[t[[i, 3]], {i, 1, 5}];
r = Table[t[[i, 4]], {i, 1, 5}];
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[{Circle[{y[[1]], z[[1]]}, r[[1]]], 
          Disk[{y[[1]], z[[1]]}, 
            0.08], 
Circle[{sq*x[[2]] - sq*y[[2]], 
              z[[2]]}, r[[2]]], 
          Circle[{sq*x[[3]] - sq*y[[3]], z[[3]]}, r[[3]]], 
          Circle[{sq*x[[4]] - sq*y[[4]], z[[4]]}, r[[4]]], 
          Circle[{sq*x[[5]] - sq*y[[5]], z[[5]]}, r[[5]]], 
          Circle[{sq*x[[2]] - sq*y[[2]], z[[2]]}, 0.1], 
          Circle[{sq*x[[3]] - sq*y[[3]], z[[3]]}, 0.1], 
          Circle[{sq*x[[4]] - sq*y[[4]], z[[4]]}, 0.1], 
          Circle[{sq*x[[5]] - sq*y[[5]], z[[5]]}, 0.1], 
          Disk[{sq*ux[[2]] - sq*uy[[2]], uz[[2]]}, 0.08], 
          Disk[{sq*ux[[3]] - sq*uy[[3]], uz[[3]]}, 0.08], 
          Disk[{sq*ux[[4]] - sq*uy[[4]], uz[[4]]}, 0.08], 
          Disk[{sq*ux[[5]] - sq*uy[[5]], uz[[5]]}, 
            0.08], {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  ->  {{-4, 4}, {-4, 4}},  
        Frame  ->  True}]

  
plot2 = 
      Graphics[{Circle[{x[[1]], y[[1]]}, r[[1]]], 
          Disk[{x[[1]], y[[1]]}, 
            0.08], 
Circle[{-y[[2]], x[[2]]}, 
            r[[2]]], Circle[{-y[[3]], x[[3]]}, r[[3]]], 
          Circle[{-y[[4]], x[[4]]}, r[[4]]], 
          Circle[{-y[[5]], x[[5]]}, r[[5]]], 
          Circle[{-y[[2]], x[[2]]}, 0.1], 
          Circle[{-y[[3]], x[[3]]}, 0.1], 
          Circle[{-y[[4]], x[[4]]}, 0.1], 
          Circle[{-y[[5]], x[[5]]}, 0.1], 
          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  ->  {{-4, 4}, {-4.0, 4.0}},  
        Frame  ->  
          True}]