How to generate uniformly random points on n-spheres and n-balls

http://extremelearning.com.au/how-to-generate-uniformly-random-points-on-n-spheres-and-n-balls/ [extremelearning.com.au]

2019-03-26 09:37

tags:
geometry
math
random
visualization

For many Monte Carlo methods, such as those in graphical computing, it is critical to uniformly sample from $d$-dimensional spheres and balls. This post describes over twenty different methods to uniformly random sample from the (surface of) a $d$-dimensional sphere or the (interior of) a $d$-dimensional ball.

source: L

Sublucid Geometry

https://zalo.github.io/ [zalo.github.io]

2019-03-16 23:31

tags:
geometry
interactive
math
physics
programming
series
visualization

Just going to link to the whole blog.

source: L

The Cube Rule of Food Identification

http://cuberule.com/ [cuberule.com]

2018-12-11 17:58

tags:
food
geometry
ideas
life
visualization

the grand unified theory of food identification

source: K

Is the Square a Secure Polygon?

http://www.math3ma.com/mathema/2018/5/17/is-the-square-a-secure-polygon [www.math3ma.com]

2018-08-16 20:32

tags:
geometry
math
opsec
visualization

Consider a square in the xy-plane, and let A (an “assassin“) and T (a “target“) be two arbitrary-but-fixed points within the square. Suppose that the square behaves like a billiard table, so that any ray (a.k.a “shot“) from the assassin will bounce off the sides of the square, with the angle of incidence equaling the angle of reflection.

Puzzle: Is it possible to block any possible shot from A to T by placing a finite number of points in the square?

source: grugq