General statistics
List of Youtube channels
Youtube commenter search
Distinguished comments
About
Lawrence D’Oliveiro
Mathologer
comments
Comments by "Lawrence D’Oliveiro" (@lawrencedoliveiro9104) on "Secrets of the NOTHING GRINDER" video.
5:17 One of the luminaries from the Islamic Golden Age, back when Europe was still in the Dark Ages.
3
/me pulls string on Talking Barbie Doll “Math is hard!” Moral: don’t get life lessons from a Talking Barbie Doll.
3
1:47 As the point on the handle gets closer to the middle screw, the ellipse gets more and more eccentric, until at the screw, it becomes a line (horizontal in the video). Further along towards the other screw, its eccentricity is reduced until it reaches zero at the midpoint (perfect circle), then increases again, this time the ellipses are squashed the other way, until at the end screw, the shape traced becomes a line that is vertical in the video. Beyond that the eccentricity reduces again, but it won’t reach zero until you get to an infinite distance.
1
3:17 At this point, I’d guess that you can have any integer number of slider axes ≥ 2, and furthermore they don’t even have to be distributed at uniform angles (subject only to the mechanical limitations of actually building a physically possible shape). As the centre point between the pivots always lies on a 4D* linear spiral, a projection of that world line along any axis will produce a sine wave. Furthermore it will always be a sine wave of the same amplitude and frequency, just with phase dependent on the axis angle. *3 dimensions of space + time
1
6:04 OK. ;)
1
5:17 From the Islamic Golden Age, when Europe was in its Dark Ages.
1