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Arnold's Trivium
1991 Arnold's Trivium
88
Problem 88
Problem 88
Source:
July 1, 2010
geometry
3D geometry
Problem Statement
How many figures can be obtained by intersecting the infinite-dimensional cube
∣
x
k
∣
≤
1
|x_k| \le 1
∣
x
k
∣
≤
1
,
k
=
1
,
2
,
…
k = 1,2,\ldots
k
=
1
,
2
,
…
with a two-dimensional plane?
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