An oriental prestidigitation caught my eye yesterday in Guardian News: it will hardly detain anyone on math-fun for more than a few minutes. I was more puzzled to learn that it remained unsolved in competition. Note that the triangle in question is planar and Euclidean: perhaps contestants were misled by the implicit reference to a sphere? << Show that there is a triangle, the sum of whose three heights is less than 1mm, that has an area greater than the surface of the Earth (510M km^2). ... It was originally set in the final round of a Vietnamese TV gameshow for smart teenagers in 1998. (None of them solved it.) >> https://www.theguardian.com/science/2020/sep/07/can-you-solve-it-the-smalles... Fred Lunnon