Fractal Deformation Using Displacement Vectors Based on Extended Iterated Shuffle Transformation

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The following are animations for Figures 4, 5, and 6 in the paper. Click the items.

Figure 4: Fractal deformations of a Sierpinski gasket.

• (A) continuous deformation
• (B) k_b= 0, δ_v(s) = 0.75
• (C) k_b= 1, δ_v(s) = 0.75
• (D) k_b= 2, δ_v(s) = 0.75
• (E) k_b= 3, δ_v(s) = 0.75
• (F) k_b= 9, δ_v(s) = 0.75
• (G) k_b= 0, δ_v(s) = 0.50
• (H) k_b= 0, δ_v(s) = 0.50 --- 0.75

• an example of continuous transition
  (This example is not shown in the paper.)

Figure 5: Fractal deformations of a Black Spleenwort fern.

• (A) continuous deformation
• (B) k_b= 0, δ_v(s) = 0.95
• (B-1) magnified image of (B) in RED frame
• (B-2) magnified image of (B) in BLUE frame
• (B-3) magnified image of (B) in GREEN frame
• (C) k_b= 1, δ_v(s) = 0.80
• (D) k_b= 2, δ_v(s) = 0.65
• (E) k_b= 6, δ_v(s) = 0.05

Figure 6: Fractal deformations of a Twin-Dragon.

• (A) continuous deformation
• (B) k_b= 0
• (B-1) magnified image of (B) in RED frame
• (B-2) magnified image of (B) in BLACK frame
• (B-3) magnified image of (B) in GREEN frame
• (C) k_b= 2
• (D) k_b= 5
• (E) k_b= 8