MathDB
Problems
Contests
International Contests
IMO Shortlist
1969 IMO Shortlist
32
32
Part of
1969 IMO Shortlist
Problems
(1)
Max no. of regions n circles can partition a sphere.
Source:
9/29/2010
(
G
D
R
4
)
(GDR 4)
(
G
D
R
4
)
Find the maximal number of regions into which a sphere can be partitioned by
n
n
n
circles.
geometry
3D geometry
sphere
dissection
combinatorics
IMO Shortlist
IMO Longlist