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1969 IMO Shortlist
39
39
Part of
1969 IMO Shortlist
Problems
(1)
Points on boundary of cube.
Source:
10/4/2010
(
H
U
N
6
)
(HUN 6)
(
H
U
N
6
)
Find the positions of three points
A
,
B
,
C
A,B,C
A
,
B
,
C
on the boundary of a unit cube such that
m
i
n
{
A
B
,
A
C
,
B
C
}
min\{AB,AC,BC\}
min
{
A
B
,
A
C
,
BC
}
is the greatest possible.
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