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Can a regular hexagon be tiled by (smaller) regular hexagons?

Best Answers

Yes. In fact, the Honeycomb conjecture, proven by Thomas C. Hales in the late 90s, states that regular hexagons utilize the least perimeter possible to tessellate infinitely many areas in the plane. read more

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A regular hexagon can be drawn with a compass and a scale. Form 2 equilateral triangles with vertices opposite each other then you have the Star of David. read more

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Hexagons (16)
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Illustrative Mathematics
Source: illustrativemathematics.org

Further Research

reflecting hexagons G-CO Building a tile pattern by
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Regular Hexagon Loops : nrich.maths.org
nrich.maths.org