Each line of symmetry goes through a vertex and the midpoint of the opposite side. An equilateral triangle has rotational symmetry of order 3. An equilateral triangle fits into its outline three t ...

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights ...

Is there a term for the shape shown above: a smooth, continuous curve with three axes of symmetry ... centred on the opposite vertex of an equilateral triangle. The vertices of the triangle ...