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Augmented truncated cube
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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},
{-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},
{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},
{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},
{(1 + Sqrt[2])/2, -1/2, (-9 - 2*Sqrt[2])/64 + (-1 - Sqrt[2])/2},
{(1 + Sqrt[2])/2, -1/2, (-9 - 2*Sqrt[2])/64 + (1 + Sqrt[2])/2},
{(1 + Sqrt[2])/2, 1/2, (-9 - 2*Sqrt[2])/64 + (-1 - Sqrt[2])/2},
{(1 + Sqrt[2])/2, 1/2, (-9 - 2*Sqrt[2])/64 + (1 + Sqrt[2])/2},
{(1 + Sqrt[2])/2, (1 + Sqrt[2])/2, -1/2 + (-9 - 2*Sqrt[2])/64},
{(1 + Sqrt[2])/2, (1 + Sqrt[2])/2, 1/2 + (-9 - 2*Sqrt[2])/64},
{(1 + Sqrt[2])/2, (-1 - Sqrt[2])/2, -1/2 + (-9 - 2*Sqrt[2])/64},
{(1 + Sqrt[2])/2, (-1 - Sqrt[2])/2, 1/2 + (-9 - 2*Sqrt[2])/64},
{(-1 - Sqrt[2])/2, -1/2, (-9 - 2*Sqrt[2])/64 + (-1 - Sqrt[2])/2},
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{(-1 - Sqrt[2])/2, (1 + Sqrt[2])/2, -1/2 + (-9 - 2*Sqrt[2])/64},
{(-1 - Sqrt[2])/2, (1 + Sqrt[2])/2, 1/2 + (-9 - 2*Sqrt[2])/64},
{(-1 - Sqrt[2])/2, (-1 - Sqrt[2])/2, -1/2 + (-9 - 2*Sqrt[2])/64},
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{20, 14, 10}, {8, 16, 18}, {4, 22, 28}, {26, 24, 2}, {6, 11, 5, 12}, {11, 6, 2, 24},
{5, 11, 22, 4}, {12, 5, 10, 14}, {6, 12, 16, 8}, {8, 2, 6}, {24, 22, 11}, {4, 10, 5},
{14, 16, 12}}]]]
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Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
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