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Sharygin Geometry Olympiad
2006 Sharygin Geometry Olympiad
5
5
Part of
2006 Sharygin Geometry Olympiad
Problems
(1)
fold a 10 x 10 square from a 1 x 118 rectangular strip (may be bent, not torn)
Source: Sharygin 2006 CR 5 VIII a, IX-XI b
8/22/2019
a) Fold a
10
×
10
10 \times 10
10
×
10
square from a
1
×
118
1 \times 118
1
×
118
rectangular strip. b) Fold a
10
×
10
10 \times 10
10
×
10
square from a
1
×
(
100
+
9
3
)
1 \times (100+9\sqrt3)
1
×
(
100
+
9
3
)
rectangular strip (approximately
1
×
115.58
1\times 115.58
1
×
115.58
). The strip can be bent, but not torn.
paper
folding
square
combinatorics
combinatorial geometry
geometry