Source: Nature.com, Mar 2017
To explore the mathematical possibilities of alternative geometries, mathematicians imagine such ‘non-Euclidean’ spaces, where parallel lines can intersect or veer apart. Now, with the help of relatively affordable VR devices, researchers are making curved spaces — a counter-intuitive concept with implications for Einstein’s theory underlying gravity and also for seismology — more accessible. They may even uncover new mathematics in the process.
Visualizing such geometries could be especially useful as a mathematical tool, she says, because “very few people have thought of visualizing them at all”.