A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

The file also provides teardrop2d, which is useful for 3D printable holes. Many of the commands have module forms that produce geometry and function forms that produce a path.

Participants were required to estimate whether there were more dots in the right array or in the left one, by pressing spatially congruent keys on the keyboard. FIGURE 3. Results of Experiment 2.