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Answer by RavenclawPrefect for Triangles that can be cut into mutually...
Here is a solution with $24$ pieces:In general proving impossibility results will be extremely hard, as it is with almost all tiling problems of this form.
View ArticleTriangles that can be cut into mutually congruent and non-convex polygons
It is easy to note that an equilateral triangle can be cut into 3 mutually congruent and non-convex polygons (replace the 3 lines meeting at centroid and separating out the 3 congruent quadrilaterals...
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