This is the 2 times table wrapped round a circle, you can also see it in your cup of tea.
After reading 's great article the other day (found here) about a program he wrote to display numbers. I felt inspired to show some other interesting ways you can lay out numbers. This is one of my favorites and here's how it works.
Clock Arithmetic.
Making a pattern like this is actually quite simple, I started with a series of points spread round in a circle then started drawing straight lines between them doubling the number of the point so
- 1 goes to 2,
- 2 goes to 4,
- 3 goes to 6 and so on.
When you get to a number higher than the number of points then just like a clock you keep counting round.
Basically, the reason 15:00 hours is 3 o'clock is because we use what's called the Modulo operator. What happens is you divide 15 by 12 (the number of points) and use the remainder which is 3, the same rule applies here in the picture but I made a lot more than 12 points.
You really can see this shape in a cup of tea, maybe you already have, I hope after reading this seeing it will make you think of your two times table. :)
Weird Fractals.
The program isn't limited to just one multiplication table though and I made the number of points modifiable too so after a bit of playing following all the same rules here's the 72 times table mapped with 129,600 points.
Leave a comment.
If you have a favorite number and colour and you'd like a fractal making tell me and I'll post the results for you, if you're interested in the code that's cool too.