No: 19 November 25, 2009

sjymb

Regular Tetrahedron


You will select X points within the volume occupied by a regular tetrahedron with edge length of 2 units. The condition is that there should be at least 1 unit distance between each of these points. What is the maximum possible value of X?

Note: The surfaces of the regular tetrahedron (including the edges and the vertices) are considered within the volume.

geslon

有点抽象，想不清楚。看来需要纸笔画画。