The Buffon’s needle experiment says that if you drop N needles of length L onto a floor with strips of width 2L, the ratio of N and the number of needles across lines is approximately π
[video by Tamás Görbe]
[read more: https://t.co/SBnFqjQuYF]
The graph of y²+z²+(3.4-√(x^2+4))²=([0...2])^2. You can get these by producing Cassini ovals in 2 dimensions using r=f(x), then by making y²+z²=r². #math#graphing#3D
⚡Quadruple Pendulum⚡
A quadruple pendulum simulated with no friction.
Since it is impossible to achieve that level of certainty, we cannot predict the motion of a pendulum.👇
Classic: A circular pen has a fence whose height varies continuously. Does there exist two points 180-degrees "apart" on the fence such that a bar placed at those points is perfectly horizontal?
Three lines meet at the vertices of an equilateral triangle of side length 2. For a point P in the plane, let a,b,c be its respective distances from each of the lines.
What is the locus of the points P such that a+b-c = sqrt(3)?
How about for a-b-c=sqrt(3)?
Three lines intersect at points to make an equilateral triangle side length 2.
Interior of triangle = locus of all P such that the sum of P's distances from the three lines is a+b+c = sqrt(3).
What if this is 3-dimensional?
What is locus of P with a+b+c = sqrt(3) + 1?