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Dissection of regular octagon

Source: Russian TST 2014, Day 7 P1 (Group NG), P2 (Groups A & B)

April 21, 2023
geometrycombinatorics

Problem Statement

For what values of kk{} can a regular octagon with side-length kk{} be cut into 1×21 \times 2{} dominoes and rhombuses with side-length 1 and a 45∘45^\circ{} angle?
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