       Problem:a texture on only one face of a Polyhedron

• To: mathgroup at smc.vnet.net
• Subject: [mg122813] Problem:a texture on only one face of a Polyhedron
• From: Roger Bagula <roger.bagula at gmail.com>
• Date: Fri, 11 Nov 2011 04:55:04 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```The problem is the
VertexTextureCoordinates ->
They seem to specify only one face specifically.
I'd like to get the texture on all the faces.
Here what runs to give one textured face:

gm = ExampleData[{"ColorTexture", "WhiteMarble"}];
v = {{0, 0, -(5/Sqrt[50 - 10 Sqrt])}, {0, 0, 5/Sqrt[
50 - 10 Sqrt]}, {-Sqrt[(2/(5 - Sqrt))],
0, -(1/Sqrt[10 - 2 Sqrt])}, {Sqrt[2/(5 - Sqrt)], 0, 1/Sqrt[
10 - 2 Sqrt]}, {(1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt]), -(1/2), -(1/Sqrt[10 - 2 Sqrt])}, {(
1 + Sqrt)/(2 Sqrt[10 - 2 Sqrt]), 1/
2, -(1/Sqrt[10 - 2 Sqrt])}, {-((1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt])), -(1/2), 1/Sqrt[
10 - 2 Sqrt]}, {-((1 + Sqrt)/(2 Sqrt[10 - 2 Sqrt])), 1/2,
1/Sqrt[10 - 2 Sqrt]}, {-((-1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt])), -(1/2) Sqrt[(5 + Sqrt)/(
5 - Sqrt)], -(1/Sqrt[10 - 2 Sqrt])}, {-((-1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt])),
1/2 Sqrt[(5 + Sqrt)/(5 - Sqrt)], -(1/Sqrt[
10 - 2 Sqrt])}, {(-1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt]), -(1/2) Sqrt[(5 + Sqrt)/(5 - Sqrt)],
1/Sqrt[10 - 2 Sqrt]}, {(-1 + Sqrt)/(
2 Sqrt[10 - 2 Sqrt]), 1/2 Sqrt[(5 + Sqrt)/(5 - Sqrt)], 1/
Sqrt[10 - 2 Sqrt]}};
i = {{2, 12, 8}, {2, 8, 7}, {2, 7, 11}, {2, 11, 4}, {2, 4, 12}, {5, 9,
1}, {6, 5, 1}, {10, 6, 1}, {3, 10, 1}, {9, 3, 1}, {12, 10,
8}, {8, 3, 7}, {7, 9, 11}, {11, 5, 4}, {4, 6, 12}, {5, 11, 9}, {6,
4, 5}, {10, 12, 6}, {3, 8, 10}, {9, 7, 3}};
g5 = Graphics3D[{Blue, Opacity[0.5], Specularity[White, 20],
Texture[gm],
GraphicsComplex[v, Polygon[i],
VertexTextureCoordinates -> {{1, 0}, {1/4 (-1 + Sqrt), Sqrt[
5/8 + Sqrt/8]}, {1/4 (-1 - Sqrt), Sqrt[
5/8 - Sqrt/8]}, {1/4 (-1 - Sqrt), -Sqrt[
5/8 - Sqrt/8]}, {1/4 (-1 + Sqrt), -Sqrt[
5/8 + Sqrt/8]}}]}, Boxed -> False]

```

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