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KoMaL A Problems
KoMaL A Problems 2019/2020
A. 775
A. 775
Part of
KoMaL A Problems 2019/2020
Problems
(1)
Set dense
Source: KöMaL A. 775
4/5/2021
Let
H
ā
R
3
H\subseteq\mathbb{R}^3
H
ā
R
3
such that if we reflect any point in
H
H
H
across another point of
H
H
H
, the resulting point is also in
H
H
H
. Prove that either
H
H
H
is dense in
R
3
{R}^3
R
3
or one can find equidistant parallel planes which cover
H
H
H
geometry