Take two rod colours, say light green (3 units) and yellow (5
units) - as many as you like of each colour.

Now try with other colour combinations. For example blue with purple - you'll want to try lots of combinations.

Full Screen Version

The longest rod (orange) is 10 units long but we do not have to stop at 10. You can have a blue-yellow rods (length 14 units) and orange-black rods (17 units long) for example.

Six blue-yellow rods and five orange-black rods make lines that differ by one (white)

Make a line of greens and a line of yellows so that the lines differ in length by one (a white rod)

Now try with other colour combinations. For example blue with purple - you'll want to try lots of combinations.

Keep a record of your results.

What do you notice ? Why does it happen ?Full Screen Version

The longest rod (orange) is 10 units long but we do not have to stop at 10. You can have a blue-yellow rods (length 14 units) and orange-black rods (17 units long) for example.

Six blue-yellow rods and five orange-black rods make lines that differ by one (white)

Once you think you have spotted what happens for a difference of 1, try a difference of 2, using plenty of different colour combinations.

Especially notice the cases where a difference of 2 can be achieved but a difference of 1 cannot.

Record, notice and explain what happens.What about other differences ?