There are 360 teeth in the outer cog.
The numbers in the grid give the number of cogs in the small cog.
Find each of the following:
  • The number which generates a pattern with six points. hint
  • Find the other number which generates a six point pattern.
  • Look at the pattern generated by the following numbers: 45, 90, 120, 180. What is the relation between the number of point and 360 (the number of teeth in the big cog).
  • Can you find a five point pattern?
  • Why is it impossible to find a seven point pattern?