We introduce the connection between geometric figures and abstract algebra by showing how you can associate a group with triangles. The more symmetric the triangle, the larger the group. We illustrate this by finding the group of symmetries for equilateral, isosceles and scalene triangles.
We introduce the connection between geometric figures and abstract algebra by showing how you can associate a group with triangles. The more symmetric the triangle, the larger the group. We illustrate this by finding the group of symmetries for equilateral, isosceles and scalene triangles.