Growing Points III

by Simon Whitechapel

The images below are formed by finding the centers of all possible sets of n points (x_c,y_c = Σ(x₁..x_n) / n,Σ(y₁..y_n) / n). The centers are then added to the set of points and the process repeated.

vertices = 3; n = 3; repetitions = 3

v = 5; n = 4; r = 3

v = 5; n = 5; r = 3

v = 6; n = 5; r = 2

v = 14; n = 4; r = 1

v = 16; n = 4; r = 1

v = 16; n = 5; r = 1

v = 17; n = 4; r = 1

v = 16; n = 2; r = 2

Points can be inserted between the vertices:

v = 5 + 1 x inserted; n = 2..10; r = 1

v = 5 + 1i; n = 7; r = 1