For more than five centuries, Leonardo da Vinci’s Vitruvian Man has invited admiration but also bafflement. With its harmonious symmetry of limbs outstretched in both a square and a circle, the ...

An equilateral triangle has three lines of symmetry. There are three ways the triangle can be cut into a pair of mirrored halves. Each line of symmetry goes through a vertex and the midpoint of ...

Their work, titled "Exceptional point enhanced nanoparticle detection in deformed Reuleaux-triangle microcavity," was published in Frontiers of Optoelectronics on Aug. 8, 2024.

Take an equilateral triangle and extend its sides out across the page. Now, draw an arc centred on a corner of your choice, connecting the two lines… ...

A deformed Reuleaux-triangle resonator is adopted to break rotational symmetry, where exceptional point for enhancing nanoparticle detection only needs one scatter to realize.

This large, nearly equilateral triangle is composed of three of the brightest stars in the sky, each belonging to its own constellation.

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.