but why would you graffiti the quadratic formula
some thugs just want to watch the world learn
Japanese mathematician Shinichi Mochizuki claims to have found proof for the Abc Conjecture. If true, this means all prime numbers will be linked. The conjecture was proposed in 1985 and has remained unsolved until then.
Instead of explaining the conjecture myself, I’ll quote Yahoo! (if you’ll forgive me), as they had the simplest explanation:
The ABC conjecture makes a statement about pairs of numbers that have no prime factors in common, Peterson explained. If A and B are two such numbers and C is their sum, the ABC conjecture holds that the square-free part of the product A x B x C, denoted by sqp(ABC), divided by C is always greater than 0. Meanwhile, sqp(ABC) raised to any power greater than 1 and divided by C is always greater than 1.
I wouldn’t hold my breath waiting for confirmation, though. Shinichi Mochizuki’s proof is around 500 pages long.
A torus is shape defined as the shape formed by rotating a circle around an axis coplanar with the circle. The resulting shape will have one of three forms: a ring torus, in which the axis if revolution does not touch the circle; a horn torus, in which the circle is tangent to the axis; and a spindle torus, in which the axis is a chord of the circle. There are many real examples of the torus shape around the house: donuts, bundt cakes, life preservers, bicycle inner tubes and cushions.
The word torus is unchanged from Ancient Rome: the Latin word torus was a cushion. In architecture, the base of many columns contains a toroid, which acts as a ‘cushion’ for the column.
GIF of torus shapes courtesy Kieff who created the GIF and released it to the public domain. Thank you Kieff for such a beautiful image, and thank you for sharing your work with the world!
Image of The Column of Trajan, Rome, Dedicated in A.D. 113 to commemorate the emperor’s victory over the Dacians courtesy Roger Ulrich under a Creative Commons 3.0 license. Thank you Roger for releasing your word to Creative Commons.