2 problems

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Polygonal-cut conjecture for the six-piece hexagon-to-hexagram dissection
Consider a six-piece dissection of a hexagon into a hexagram in which pieces are not turned over. Polygonal-cut conjecture. Such a dissection cannot be constructed using only polyg…
Conjectureopendissection-geometry polygonal-cutsarXiv posted 2 days ago
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Three-piece equilateral-triangle-to-square dissection conjecture
Let an equilateral triangle and a square have the same area, and consider dissections into finitely many pieces that may be rearranged, with pieces allowed to be turned over. Three…
Conjectureopendissection-geometry equidecomposability polygonsarXiv posted 2 days ago

Polygonal-cut conjecture for the six-piece hexagon-to-hexagram dissection