# Elongated square gyrobicupola

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Graphics3D[GraphicsComplex[{{-1/2, -1/2, (-1 - Sqrt[2])/2}, {-1/2, 1/2, (-1 - Sqrt[2])/2},
{0, -(1/Sqrt[2]), (1 + Sqrt[2])/2}, {0, 1/Sqrt[2], (1 + Sqrt[2])/2}, {1/2, -1/2, (-1 - Sqrt[2])/2},
{1/2, 1/2, (-1 - Sqrt[2])/2}, {-(1/Sqrt[2]), 0, (1 + Sqrt[2])/2}, {1/Sqrt[2], 0, (1 + Sqrt[2])/2},
{1/2, (1 + Sqrt[2])/2, -1/2}, {1/2, (1 + Sqrt[2])/2, 1/2}, {-1/2, (1 + Sqrt[2])/2, -1/2},
{-1/2, (1 + Sqrt[2])/2, 1/2}, {(-1 - Sqrt[2])/2, 1/2, -1/2}, {(-1 - Sqrt[2])/2, 1/2, 1/2},
{(-1 - Sqrt[2])/2, -1/2, -1/2}, {(-1 - Sqrt[2])/2, -1/2, 1/2}, {-1/2, (-1 - Sqrt[2])/2, -1/2},
{-1/2, (-1 - Sqrt[2])/2, 1/2}, {1/2, (-1 - Sqrt[2])/2, -1/2}, {1/2, (-1 - Sqrt[2])/2, 1/2},
{(1 + Sqrt[2])/2, -1/2, -1/2}, {(1 + Sqrt[2])/2, -1/2, 1/2}, {(1 + Sqrt[2])/2, 1/2, -1/2},
{(1 + Sqrt[2])/2, 1/2, 1/2}}, Polygon[{{4, 7, 3, 8}, {7, 4, 12, 14}, {3, 7, 16, 18}, {8, 3, 20, 22},
{4, 8, 24, 10}, {10, 12, 4}, {14, 16, 7}, {18, 20, 3}, {22, 24, 8}, {5, 1, 2, 6}, {11, 9, 6, 2},
{15, 13, 2, 1}, {19, 17, 1, 5}, {23, 21, 5, 6}, {6, 9, 23}, {2, 13, 11}, {1, 17, 15}, {5, 21, 19},
{9, 11, 12, 10}, {11, 13, 14, 12}, {13, 15, 16, 14}, {15, 17, 18, 16}, {17, 19, 20, 18},
{19, 21, 22, 20}, {21, 23, 24, 22}, {23, 9, 10, 24}}]]]

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Johnson Polyhedra

Geometry

Index

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