MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2018 Harvard-MIT Mathematics Tournament
5
2018 Team #5
2018 Team #5
Source:
February 12, 2018
Problem Statement
Is it possible for the projection of the set of points
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
with
0
≤
x
,
y
,
z
≤
1
0 \leq x, y, z \leq 1
0
≤
x
,
y
,
z
≤
1
onto some two-dimensional plane to be a simple convex pentagon?
Back to Problems
View on AoPS