(499) 1

Part of 1996 Tournament Of Towns

Problems(1)

TOT 499 1996 Spring S A1 8 distances in a cube

Source:

Does there exist a cube in space such that the perpendiculars dropped from its eight vertices to a given plane are of length

0, 1, 2, 3, 4, 5, 6

7

?
(V Proizvolov)

geometry3D geometrycube