If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
An equilateral triangle cross section can be obtained by cutting the cube by a plane defined by the midpoints of the three edges emanating from any one vertex.
