Let’s create some easy Rangoli designs with dots. Rangoli is a delicate floor painting drawn almost every day in front of the houses in India to welcome guests. It is also known by different names like Kolam, Kolangal, and Muggulu. Traditionally they are done with rice powder, but nowadays colored rangoli powder are available in the market.
Rangolis can be drawn in different ways but most of them have geometrical patterns. They are usually created by dots placed at an equal distance in a pattern. So we have maths in this art. Other forms of Math art include making tessellations.
Artists have worked with mathematical concepts since a long time. Drawing three-dimensional objects on two-dimensional surfaces and understanding the world in geometrical shapes were two of the most important reasons for the relationship between maths and art.
The painter Piero Da Francesca (c. 1415 – 1492) defines the point as the tiniest thing that is possible for the human eye to see. Let us explore how math art can help us create rangoli patterns by encircling points or dots. To get started I drew
Rangoli or Kolam with dots
Let us explore how math art can help us create rangoli patterns by encircling points or dots.
To get started I drew five-millimeter gridlines on my drawing sheet. You can request your art instructor to provide such a sheet or download a free printable from the web. You can also buy graph paper online at Amazon. With practice, you will not need to work on a grid and will be able to draw patterns free hand. Rangoli is created free-hand.
Using the grid as a reference I have encircled the dots with spindle, oval, diamond and a petal shape. Think of other shapes to encircle the dots.
Using this as a building block you can make as many patterns as you wish. You can also loop leaving some dots in between. Some simple patterns are shown here.
Start by making a grid mostly in the form of a diamond. Keep enough space so that you can draw the lines easily in between them. See that the lines do not have beginning or end. The easiest and the typical rangoli flower is shown below. This flower is repeated to form more patterns. flower shape is shown below is repeated to form new patterns.
Now, let us proceed to use what we have learned in math to create rangoli patterns. We will start by using squares. We will make a pattern using one three by three (3×3) square and placing two by two (2×2) squares around it.
One by one square is only one (1×1=1) and so a single dot. We will use some of those also. The completed squares dot formations are shown below.
They have been encircled to create a simple rangoli pattern.
Another interesting pattern to make would be like a snowflake applying what we have learned from multiplication tables. To start small, let us work with a few lines of our multiplication table for three. For our core let us start with (3×3) pattern and then extend it on all four sides using (3×2) and (3×1) dot formations. We can now encircle the dots in diamond shapes to get our snowflake pattern.
After encircling the dots, I added 3 dots each along the diagonals axis to make my snowflake look fuller. You can start with a base of 5 or 7 or any number you like depending on the size of patterns you want to create.