Hellenica World

Gyroelongated square pyramid

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"GyroelongatedSquarePyramid_2.gif"

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"GyroelongatedSquarePyramid_9.gif"

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"GyroelongatedSquarePyramid_10.gif"

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"GyroelongatedSquarePyramid_11.gif"

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"GyroelongatedSquarePyramid_12.gif"

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"GyroelongatedSquarePyramid_13.gif"

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"GyroelongatedSquarePyramid_15.gif"

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"GyroelongatedSquarePyramid_17.gif"

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"GyroelongatedSquarePyramid_18.gif"

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Graphics3D[GraphicsComplex[{{-1/2, -1/2, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 -
     Sqrt[4 - Sec[Pi/8]^2]/4}, {-1/2, 1/2, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 -
     Sqrt[4 - Sec[Pi/8]^2]/4}, {0, 0, 1/Sqrt[2] + (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 +
     Sqrt[4 - Sec[Pi/8]^2]/4}, {0, -(1/Sqrt[2]), (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 +
     Sqrt[4 - Sec[Pi/8]^2]/4}, {0, 1/Sqrt[2], (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 +
     Sqrt[4 - Sec[Pi/8]^2]/4}, {1/2, -1/2, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 -
     Sqrt[4 - Sec[Pi/8]^2]/4}, {1/2, 1/2, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 -
     Sqrt[4 - Sec[Pi/8]^2]/4}, {-(1/Sqrt[2]), 0, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 +
     Sqrt[4 - Sec[Pi/8]^2]/4}, {1/Sqrt[2], 0, (20 - 27*Sqrt[2] - 2*Sqrt[-168 + 121*Sqrt[2]])/184 +
     Sqrt[4 - Sec[Pi/8]^2]/4}}, Polygon[{{6, 1, 2, 7}, {7, 5, 9}, {2, 8, 5}, {1, 4, 8}, {6, 9, 4}, {7, 2, 5},
    {2, 1, 8}, {1, 6, 4}, {6, 7, 9}, {5, 8, 3}, {8, 4, 3}, {4, 9, 3}, {9, 5, 3}}]]]

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"GyroelongatedSquarePyramid_19.gif"

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"GyroelongatedSquarePyramid_21.gif"

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"GyroelongatedSquarePyramid_23.gif"

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"GyroelongatedSquarePyramid_24.gif"

Johnson Polyhedra

Geometry