Hellenica World

Elongated triangular gyrobicupola

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

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"ElongatedTriangularGyrobicupola_24.gif"

Johnson Polyhedra

Geometry