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    Sierpiński Square Snowflake Curve

    Input value

    iterations | 3

    Result

    Result

    L system grammar representation

    axiom | F++XF++F++XF
rules | {X->XF-FF-XF++F++XF-FF-X}
rotation angle | 45° (degrees)

    Dimensions after 3 iterations

    curve length | 340/(8 (2 + sqrt(2)) - 2) ≈ 13.4315
enclosed area | (64 + 21 (5 + 4 sqrt(2)))/(8 (2 + sqrt(2)) - 2)^2 ≈ 0.449128

    Limiting properties

    curve length | ∞
enclosed area | 4/(3 (2 + sqrt(2))) ≈ 0.390524
capacity dimension | 2

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