What is a Chord?

A line connecting two points on a circle — and the designs we can make with them.

Let’s start with a circle.

Pick any two points on the circle’s edge.

Connect them.

This is a chord — a line segment connecting two points on a circle.

Your Turn

Draw a circle. Pick two points. Draw a chord.

Now draw a few more — somewhere between 5 and 20 chords.

Have fun! Use color!

Finding Structure

If you want to make designs with chords on a circle, there are many approaches.

What ideas do you have? Try it.

Here’s one approach: place points around the circle that are evenly spaced.

Draw 10–20 chords connecting those points.

What does your design look like?

Is there order to it? A pattern?

Could you describe an algorithm or rule for someone else to recreate it?

Assignment

  1. Create rules or an algorithm for making a design with chords
  2. Draw a circle using your algorithm
  3. What patterns formed?
  4. What questions can you ask about this design?

Notes