verityhull
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  • 23-03-2019
  • Mathematics
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Explain clearly why a regular hexagon will tessellate but a regular decagon will not.

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EdwardYang EdwardYang
  • 23-03-2019

A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.

The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)

The regular decagon will not tessellate because 360° is not divisible by 144°.

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