PlayStation 3 Keys

It seems that geohot and the members of the group fail0verflow, who found (and in geohot's case, published) many of Sony's private signing keys for the PS3 console, are being sued by Sony. I could rant for a while about how everything they've done is perfectly legal, and how stupid the DMCA is (I probably will in the future), but actions speak louder than words, so here are the keys that geohot published before he took them down: Continue reading PlayStation 3 Keys

Righteous hack: getting 263 - 1 points in a silly Facebook game

Security through obscurity doesn't work. Every once in a while I like to prove this fact, by getting worldwide high scores on vulnerable leaderboards. The first time I did this was to Area Flat 3 (which was an awesome game when I was in elementary school, and is still pretty fun). Check the all-time top 100 scores for H4X0R (I know, not very original; I was 13, sue me). But that hack was child's play compared to this one. Continue reading Righteous hack: getting 263 - 1 points in a silly Facebook game

Solving Polynomials

A well known (if not by name) theorem is the Abel–Ruffini theorem, which states that there is no algebraic expression for the roots of polynomials with degree higher than 4.

A not-so-well-known fact is that for any polynomial \(P(x)\), it is possible to find (with exact arithmetic) a set of ranges each containing exactly one root of \(P(x)\). One such algorithm is due to James Victor Uspensky in 1948. Continue reading Solving Polynomials