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    6-sphere Coordinates

    Result

    (data not available)

    Equation

    (x_1 - c_1)^2 + (x_2 - c_2)^2 + (x_3 - c_3)^2 + (x_4 - c_4)^2 + (x_5 - c_5)^2 + (x_6 - c_6)^2 + (x_7 - c_7)^2 = r^2
(assuming center (c_1, c_2, c_3, c_4, c_5, c_6, c_7) and radius r)

    Properties

    diameter | 2 r
content | (16 π^3 r^7)/105≈4.72477 r^7
hyper-surface area | (16 π^3 r^6)/15≈33.0734 r^6
(assuming center (c_1, c_2, c_3, c_4, c_5, c_6, c_7) and radius r)

    Spherical homotopy groups

     | S^6
π_6 | Z
π_7 | Z_2
π_8 | Z_2
π_9 | Z_8×Z_3
π_10 | 0
π_11 | Z
π_12 | Z_2
π_13 | Z_4×Z_3×Z_5
π_14 | Z_8×Z_2×Z_3
π_15 | Z_2^3
π_16 | Z_8×Z_2×Z_9

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