My mum is disappointed in me because she found my pack of smokes and stash of weed, she won’t talk to me or anything. I let everyone down, nobody cares about me. I just took a full bottle of sleeping pills. Bye …
5732. Starfire actually has the 2nd best abs on the team. 1st is Robin (unsurprisingly) then Beast Boy is 3rd since he started working out sometime after joining the team. Raven is fit enough to do hero work so she doesn't really care and is 4th. Cyborg doesn't count since he literally has no abdominal muscles though.
#5732: “Jetzt muss ich aber auch was loswerden. Ich hör z.B. Beks oder Casper nicht, ich mag so Majoe und Hafti mehr, aber wie kann man sagen dass die whack sind?! Dieses Ciratou oder Nichts sind wirklich hammer und Casper hat auch viel hammer Tracks wie Ariel z.B. Und wie gesagt, ich mag sowas nicht mal. Aber: MUSIK IST GESCHMACKSSACHE! Jeder, der dafür jemanden hatet, ist ein Idiot!”
Things that I think are simultaneously massively tedious and super awesome: measuring π in Ancient Greece
So there was this chap called Archimedes. He lived in Syracuse, Scilly in about 250 bc. He was also super interested in π. The trouble was that the only was to find π at that time was to go measure it.
Archimedes did this in a fairly interesting way. He figured that any measurement tools of his time were basically wildly inaccurate, the up shot of this was that he couldn’t accurately find the circumference of a circle. He figured that if one were to bound a circle inside and out with regular polygons, then the perimeters of each would form bounds for the circumference of a circe and thus could find the region in which π lies.
Here, c denotes the circumference of the circe. So, 45.732 > c > 27.906. Hence, 4.5732 > π > 2.7906 (this averages as roughly 3.64, so we only have one digit of precision).
Obviously, if we increase the degree of the polygon, we will get a closer bound on π. Archimedes uses polygons with up to 96 sides, all of which were hand drawn and measured. Using this technique he was able to get accuracies of at least three decimal places. His technique was still being used, with little modification, in Europe well into the 1600s.
As one can see, the polygons in this case have many more facets, here we find that 3.234 > π > 3.116 (averages as 3.17). Clearly, we need many, many faces to get good degrees of accuracy.