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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

August 22, 2019
paperfoldingsquarecombinatoricscombinatorial geometrygeometry

Problem Statement

a) Fold a 10×1010 \times 10 square from a 1×1181 \times 118 rectangular strip. b) Fold a 10×1010 \times 10 square from a 1×(100+93)1 \times (100+9\sqrt3) rectangular strip (approximately 1×115.581\times 115.58). The strip can be bent, but not torn.