Everyone knows that all circles are similar. But did you know that all parabolas are similar?
The ratio of the red parabolic arc length and the blue focal parameter is √2 + log(1+√2) = 2.29558… for any parabola. This is the universal parabolic constant, the “π of parabolas”. pic.twitter.com/JntitYWd7q
Pick uniformly distributed random points in a 6×6 square. The average distance from the centre is √2 + log(1+√2) = 2.29558…
It's the universal parabolic constant! How crazy is that‽ Where is the parabola in this problem about random points in a square??? pic.twitter.com/AOnYPFNubR
A final surprise! We can connect e, π, and the universal parabolic constant.
Plot the function y=exp(-x) over the positive x-axis and rotate the graph about the x-axis. The surface you get has area π × the parabolic constant. pic.twitter.com/jL13wWpRBv
The 'Code-Breaking' series from TRM intern Georgie Bumpus concludes with 'Elliptic Curve Cryptography'. Used in iMessage, Google Chrome, @Bitcoin, and by the US government to secure your data online. Find out how it all works here: https://t.co/BB0J2mZVDX
"I don't think I can ever stop watching it…" #MarsHelicopter project manager MiMi Aung talks about how Ingenuity flew just the way they had expected it to fly. See the hi-res video. pic.twitter.com/cBoCzSlpZB