Question: Count Triangles
Take a look at the figure below. Can you count number of different triangles in this hexagonal pattern?
Take a look at the figure below. Can you count number of different triangles in this hexagonal pattern?
- Only 3 outer hexagon points: each point makes 4; counted thrice. Unique is 12
- 2 outer hex points + 1 inner hex point: each point makes 4, counted twice. Unique is 18
- 1 outer hex point + 2 inner hex point: each point makes 3, counted once. Unique is 18
- 3 inner hex points: repeat case 1 + 2 + 3 above. Unique is 48.