Page 269 - Math_Genius_V1.0_C6_Flipbook
P. 269

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\13_Chapter_9\Chapter_9
                 \ 06-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





                Rangoli Pattern


                Kolams and Rangoli are popular in India. Kolams are decorative geometrical patterns that adorn
                the entrances of households and places of worship.

                A kolam is a drawing of line curves and loops around a regular grid of points. It shows four-fold/
                order 4 rotational symmetry. In South India, Pulli and Neli Kolam are popular.
                ‘Pulli’ means dot and ‘Neli’ means curve. These patterns are designed from the dots.
















                Let us learn how to make some rangoli patterns.

                Lakshmi Hridayam Rangoli

                A group of dots numbered 1 to 5 is placed, keeping a dot encircled at the centre. Dots of adjacent
                groups are connected cyclically using the rule 1–3–5–2–4–1–3–5–2–4. Repeat the same for all the
                remaining dots.



















                7 Dot Rangoli Design

                Draw a 7 by 7 dots square. Cross the dots falling on the diagonals. Keeping 1 at the centre of each
                of the four cross sections, place the numbers 1 to 5 on the dots as shown below. Join 2–4–3–4–2 as
                the first internal layer and 1–2–5–3–5–2–1 as an outer layer.
                Repeat the pattern in each part to get a design.


                                                             5  4  3   4  5
                                                         5      2  2   2     5

                                                         4   2     1      2  4
                                                         3   2  1      1  2  3
                                                         4   2     1      2  4
                                                         5      2  2   2     5
                                                             5  4  3   4  5

                                                                  267                                           Symmetry
   264   265   266   267   268   269   270   271   272   273   274