3d polygon sichtbare legende

[Nic Hutter <nic_hutter@XXXXXXX.de>]

Liebes Forum,

es stellt sich folgendes Problem:
Ich möchte den unten angegebenen polygon zeichnen, der
sich aus einer punktwolke ergibt, wobei die einzelnen
punkte als ländernamen kodiert sind.

problem: bei der 3-dimensionalen darstellung zeigt
mathematica ALLE ländernamen an, d.h. auch jene, die
eigentlich durch das polygon verdeckt sein sollte
(nicht sichtbar sein sollten).

kann man das ändern?
vielen dank im voraus.
gruß
nic hutter


Needs["Graphics`Graphics3D`"]

pointlist = Table[{{-0.972, 0.372, -0.348}, {0.012,
0.931, -0.118}, {-1.053, \
-0.479, 0.588}, {0.025, 0.973, 0.711}, {
          0.525, 2.050, 1.035}, {-0.021, -1.109,
-0.210}, {2.869, 1.062, \
1.411}, {0.545, -0.776, 1.460}, {-0.845, 0.122,
-0.172}, {-0.514, -0.247, \
-0.348}, {-0.295, -0.996, -0.427}, {-0.059, -0.741,
-0.904}, {0.405, 0.836, \
-0.232}, {0.616, -0.586, 0.115}, {-1.237, -1.413,
-2.561}}];

pointgraph = ScatterPlot3D[pointlist, AxesLabel -> {A,
B, C}, PlotStyle -> {
      RGBColor[1, 0, 0], PointSize[.03]}];

Legende = Legende = 
  Show[Graphics3D[{
    Text["deu", {-0.972, 0.372, -0.348}, {0, -1}],
Text["fra", {
            0.012, 0.931, -0.118}, {0, -1}], 
              Text["gbr", {-1.053, -0.479, 0.588}, {
          0, -1}], Text["ita", {
            0.025, 0.973, 0.711}, {0, -1}],
Text["esp", {0.525, 2.050,
               1.035}, {
          0, -1}], Text["nld", {-0.021, -1.109,
-0.210}, {0, -1}], \
Text["grc", {2.869, 1.062, 1.411}, {
          0, -1}], Text["prt", {0.545, -0.776, 1.460},
{0, -1}], Text["bel", \
{-0.845, 0.122, -0.172}, {
          0, -1}], 
            Text["swe", {-0.514, -0.247, -0.348}, {0,
-1}], Text["aut", \
{-0.295, -0.996, -0.427}, {0, -1}], Text["dnk
            ", {-0.059, -0.741, -0.904}, {0, -1}],
Text["fin", {
            0.405, 0.836, -0.232}, {0, -1}], Text["irl
            ", {0.616, -0.586, 0.115}, {0, -1}],
Text["lux
            ", {-1.237, -1.413, -2.561}, {0, -1}]},
Axes -> True, AxesLabel \
-> {A, B, C}, PlotRange -> {{-1.3, 3}, {-1.6, 2.1},
{-2.6, 1.5}}]]

Show[pointgraph, Legende]

Mut = Show[Graphics3D[{Polygon[{{0.54500000,
-0.77600000, 1.46000000}, \
{0.52500000, 2.05000000, 1.03500000}, {2.86900000,
1.06100000, 1.41100000}}], \
Polygon[{{0.54500000, -0.77600000, 1.46000000},
{-1.05300000, -0.47900000, \
0.58800000}, {0.52500000, 2.05000000, 1.03500000}}],
Polygon[{{2.86900000,
         1.06100000, 1.41100000}, {0.40500000,
0.83600000, -0.23200000}, \
{-1.23700000, -1.41300000, -2.56100000}}],
Polygon[{{0.40500000, 0.83600000, \
-0.23200000}, {0.52500000, 2.05000000, 1.03500000},
{-1.23700000, \
-1.41300000, -2.56100000}}], Polygon[{{0.52500000,
2.05000000, 
          1.03500000}, {0.40500000, 0.83600000,
-0.23200000}, {
              2.86900000, 1.06100000, 
            1.41100000}}], Polygon[{{-0.02100000,
-1.10900000, -0.21000000}, \
{2.86900000, 
            1.06100000, 1.41100000}, {-1.23700000,
-1.41300000, \
-2.56100000}}], Polygon[{{-0.02100000, -1.10900000,
-0.21000000}, \
{0.54500000, -0.77600000, 1.46000000}, {2.86900000,
1.06100000, 
            1.41100000}}], Polygon[{{-1.05300000,
-0.47900000, 0.58800000}, \
{-0.02100000, -1.10900000, -0.21000000}, {-1.23700000,
-1.41300000, \
-2.56100000}}], Polygon[{{-0.02100000, -1.10900000,
-0.21000000}, \
{-1.05300000, -0.47900000,
               0.58800000}, {0.54500000, -0.77600000,
1.46000000}}],
             Polygon[{{0.52500000, 2.05000000,
1.03500000}, {-0.97200000, \
0.37200000, -0.34800000}, {-1.23700000, -1.41300000,
-2.56100000}}], 
              Polygon[{{-0.97200000, 0.37200000,
-0.34800000}, {-1.05300000, \
-0.47900000,
               0.58800000}, {-1.23700000, -1.41300000,
-2.56100000}}], \
Polygon[{{-1.05300000, -0.47900000, 0.58800000},
{-0.97200000, 0.37200000, \
-0.34800000}, {0.52500000,
               2.05000000, 1.03500000}}]}, PlotRange
-> {{-1.3, 3}, {-1.6, \
2.1}, {-2.6, 1.5}}, Axes -> True]]

Show[Mut, Legende, AxesLabel -> {A, B,
   C}, PlotRange -> {{-1.3, 3}, {-1.6, 2.1}, {-2.6,
1.5}}, Axes -> True]






        

        
                
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