An equilateral triangle has rotational symmetry of order 3. An equilateral triangle fits into its outline three times in a full 360° turn. Image caption, ...

For more than five centuries, Leonardo da Vinci’s Vitruvian Man has invited admiration but also bafflement. With its ...

If the triangle is rotated a full 360°, it never looks the same except when it arrives back at its original starting position. It only has one order of rotational symmetry, the starting position.