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Earn +20 ptsQ: How many regular polygons will tessellate in the euclidean plane?
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What regular polygons can tessellate a plane with no overlaps or gaps?
Triangle, square and hexagon
Which regular polygons can tessellate a plane with no overlaps or gaps?
Equilateral triangle, square and regular hexagon.
Which polygons will tile the plane?
If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.
Can heptagon tessellate?
No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!
Can a regular octagon tessellate the plane by itself?
No
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