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Vietnam Contests
Vietnam National Olympiad
1974 Vietnam National Olympiad
4
4
Part of
1974 Vietnam National Olympiad
Problems
(1)
12 lines containing the sides of a cube meet at plane p in 12 points
Source: Vietnamese MO (VMO) 1974
8/20/2018
C
C
C
is a cube side
1
1
1
. The
12
12
12
lines containing the sides of the cube meet at plane
p
p
p
in
12
12
12
points. What can you say about the
12
12
12
points?
geometry
cube
3D geometry