Mathematicians Find New 13-Sided Shape Called 'The Hat'
gizmodo.com
gizmodo.com
The point is that it's an aperiodic monotile, which (horribly simplified) means that it's a tiling shape that creates a tiling pattern that does not repeat.
Also:
https://news.ycombinator.com/item?id=35241608 (3 comments)
https://news.ycombinator.com/item?id=35242458 (> 20 comments)
https://news.ycombinator.com/item?id=35264965 (> 50 comments)
https://news.ycombinator.com/item?id=35265569 (1 comment)
(For clarity, I am not arguing that every new discovery must have practical application)