ACn= X AC n+1= X + X/2 R [0,0] [x,0]
[0,0]
Good Continuation - No boundaries
R [0,0] [x,0] d(Cn-Cn+1) = Rn+(Rn+Rn/2)
[0,0]
dc
Good Continuation - Solid
Cd+Cs= 16 n°Cd = n°Cs RCd [0,0] [n,0] RCs [0,0] [-n,0]
Symmetry - No boundaries
n°Ctot = 16 n°C1 = n°C2 = n°C3 = n°C4 [X2,Y2]= [-X1, Y1] [X3,Y3]= [-X1, -Y1] [X4,Y4]= [X1, -Y1] [-x1,y1]
2 3
[x1,y1]
1 4
[0,0]
[-x1,-y1]
[x1,-y1]
Symmetry - Solid
Ia=Ib Ia= {n...xn} n 0 m 0
Ib= {m...xm} Kn = -Km
-50
0
K=0%
+50 K=100%
Similarity
n°C = 16 d(Cn- O)= R
C1
O
Proximity
dCmin=2R
C1
C2
Proximity - Solid
T= π/2 Variation degree = π/8 [X,Y]C1.4= [cos3/8π, sen3/8π]
[cosα, senα]
[X,Y]C2.4= [cos7/8π, sen7/8π] [X,Y]C3.4= [cos11/8π, sen11/8π] [X,Y]C4.4= [cos15/8π, sen15/8π] α
XC1 = YC2 = -XC3 = -YC4 YC1 = -XC2 = -YC3 = XC4
Periodicity
Area Circle
O
π/8
π/2
π
Proximity - Graph
Periods