Selective Fractalization of Chevron-Type Polygons Edges

apex angle

φ

π

3

π

2

2π

3

5π

6

number of cells

1

3

5

7

arm vectors

ℓ

1

2

ℓ

2

W vector (

w

1

,

w

2

)

w

1

w

2

1

This Demonstration explores the fractalization of arbitrarily chosen edges of arbitrary polygons. A chevron-type concave polygon is used as a representative geometrical figure. The particular edges of this chevron-type polygon are fractalized with Koch curves. Then the copies of the resulting polygons are tiled and concatenated via straight non-fractalized edges so that they form elongated structures. Two types of fractalization are considered for comparison: randomized Koch curve (red, left) and regular Koch curve (blue, right).