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    Koch Snowflake

    Input value

    iterations | 5

    Result

    Result

    Iteration rule

     | -> |

    L system grammar representation

    axiom | F--F--F
rules | F->F+F--F+F
rotation angle | 60° (degrees)

    Dimensions after 5 iterations

    length | 1024/81 ≈ 12.642 (times initial side length)
area | 31288/19683 ≈ 1.5896 (times initial area)

    Limiting properties

    length | ∞
area | 8/5 ≈ 1.6 (times initial area)
capacity dimension of curve | (2 log(2))/log(3) ≈ 1.26186
capacity dimension of enclosed area | 2

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