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Graphics3D[GraphicsComplex[{{-1/2, (1 + Sqrt[2])/2, (-9 - 2*Sqrt[2])/64 + (-1 - Sqrt[2])/2},
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{-1/2, (-1 - Sqrt[2])/2, (-9 - 2*Sqrt[2])/64 + (1 + Sqrt[2])/2},
{0, -(1/Sqrt[2]), (-9 - 2*Sqrt[2])/64 + (1 + 2*Sqrt[2])/2},
{0, 1/Sqrt[2], (-9 - 2*Sqrt[2])/64 + (1 + 2*Sqrt[2])/2},
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{1/2, (-1 - Sqrt[2])/2, (-9 - 2*Sqrt[2])/64 + (-1 - Sqrt[2])/2},
{1/2, (-1 - Sqrt[2])/2, (-9 - 2*Sqrt[2])/64 + (1 + Sqrt[2])/2},
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{1/Sqrt[2], 0, (-9 - 2*Sqrt[2])/64 + (1 + 2*Sqrt[2])/2},
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{14, 16, 12}}]]]

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