Enlarging Regular Polygons

Geometry Level 1

It is possible to arrange four copies of an equilateral triangle to cover an equilateral triangle with twice its side length. The same holds for a square:

However, doing the same exercise with a regular polygon with more sides requires some overlapping:

Covering a regular pentagon with double the side length requires 6 pentagons

Covering a regular pentagon with double the side length requires 6 pentagons

How many identical regular hexagons are needed to cover a regular hexagon with double the side length?

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