This is a visualization of a times table inspired by This YouTube video by Mathologer.
There is an equidistant arrangement of points around a circle. Each point is multiplied by the value in the times table and a line is drawn from the point to the result of this value. This creates some interesting visual effects, especially when the number of points becomes large.
For example, for 10 points and the 2 times table (the default when you visit this page) you will have:
0 × 2
no line1 × 2
line from 1 to 22 × 2
line from 2 to 43 × 2
line from 3 to 64 × 2
line from 4 to 85 × 2
line from 5 to 0 - if you run out of points, the remainder of value divided by the total points is taken. This is called modulo, or%
. So5 × 2
is10
and there are 10 points,10 % 10
is0
6 × 2
line from 6 to 27 × 2
line from 7 to 48 × 2
line from 8 to 69 × 2
line from 9 to 8
Try playing around with the number of points as well as the times table value to see what interesting shapes you can create!
Change the numbers as you wish. You can also press the play button, which will increase the times table by .1
every tenth of a second. It will also cycle through vibrant colors for the lines.