MathDB
Problems
Contests
Undergraduate contests
Putnam
1991 Putnam
A4
A4
Part of
1991 Putnam
Problems
(1)
existence of infinite disks
Source: Putnam 1991 A4
8/20/2021
Can we find an (infinite) sequence of disks in the Euclidean plane such that:
(
1
)
(1)
(
1
)
their centers have no (finite) limit point in the plane;
(
2
)
(2)
(
2
)
the total area of the disks is finite; and
(
3
)
(3)
(
3
)
every line in the plane intersects at least one of the disks?
geometry