8x8 or 1 to 15

Here are the kolams and rangolis in this page:
  • A rangOli inspired by sUrya K.
Rangoli: A rangOli inspired by sUrya K.
Created by jkmrao on 2013-02-19,

This chikku kOlam is inspired by the one submitted by sUrya K. This is the next level to her work. Also instead of keeping each of the wavy lines separate, I joined them. This has 13 lines. The dot pattern can be described in two ways - 8x8 square or 1 to 15 vertical one above the other. The levels of complexity are described below:
n = 0, no of lines = 0, no of dots = 1
n = 1, no of lines = 1 (1 green), no of dots = 5
n = 2, no of lines = 5 (4 green, 1 pink), no of dots = 25
n = 3, no of lines = 9 (4 green, 4 pink, 1 blue), no of dots = 61
n = 4, no of lines = 13 (4 green, 4 pink, 4 blue, 1 red), no of dots = 113

Using this data, find out the no of lines and dots for the next levels. lakshmI ma'am, you give lot of such problems on FB. This is an exercise for you Smile

I am dedicating this pattern to all young girls and boys (may their tribe increase) who have interest in the traditional art of rangavalli or kOlam with dots.

Regards! - mOhana