Kakeya's conjecture was finally solved. And that opens new paths to engineering and quantum technology.

"Needle shown rotating inside a deltoid. At every stage of its rotation (except when an endpoint is at a cusp of the deltoid), the needle is in contact with the deltoid at three points: two endpoints (blue) and one tangent point (black). The needle's midpoint (red) describes a circle with diameter equal to half the length of the needle." (Wikipedia, Kakeya Set)

Researchers finally solved how big a space or area a pencil needs to turn on the table when somebody turns it in a certain direction. An interesting thing is that the Kakeya conjecture opens also a path to create a ball there the same pencil can turn in any direction. The thing is that the 3D ball can turn into a specific number of 2D layers. 

(Wikipedia, Kakeya Set)

Solving Kakeya's conjecture opens new paths to quantum engineering and space optimization. That conjecture can make it possible to improve the use of spaces. 

Researchers finally solved Kakeya's conjecture. And that can make it possible to create new types of qubits. Kakeya's conjecture is the way to calculate how to fit the specified length into as small an area as possible and turn it into as many directions as possible. The thing that makes Kakeya's conjecture interesting is that the ball can be shared into an unlimited number of layers. 

The ability to know how small that ball can be, that the stick can turn inside it makes it possible to make better models of qubits. In that model, the stick or line in the ball is the tool that can transport information into qubits. Kakeya's conjecture can also make it easier to create simulations for the new and powerful qubits. 

The new and powerful tools are required for the R&D work in the computer technology. Kakeya's conjecture makes it possible to create optimized spaces. Kakeyea's conjecture makes the possible to calculate the space that the metal tube takes. This thing helps to create spaces in warehouses where the stick can turn freely. That can improve calculation of the things like curves in corridors and other things. And that makes Kakeya's conjecture a multipurpose and effective tool. That tool can improve the use of CAD programs. It can automatize things like the height and width of the corridors and corners. 

https://en.wikipedia.org/wiki/Kakeya_set#