Trigonometry/For Enthusiasts/What Tessellations are Possible with Regular Polygons

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A tesselation or tiling means a pattern or arrangement of polygons that can (by indefinite repetition) be made to cover an arbitrarily large area of the plane with no gaps.

Investigate what tessellations are possible with regular polygons
Did you consider polygons that had a mix of different types of polygon, e.g hexagons and squares?
Can you be sure that you haven't missed any out? Can you prove it?