koch snowflake 4 - Wolfram|Alpha

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Input information

Koch snowflake |
iterations | 4

Result

Result

Iteration rule

| -> |

L system grammar representation

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

Dimensions after 4 iterations

length | 256/27 ≈ 9.48148 (times initial side length)
area | 3448/2187 ≈ 1.57659 (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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