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Which other regular polygon will a regular heptagon tessellate with?
There is no such polygon.
Do nonagons tessellate?
yes * * * * * Wrong! A nonagon, regular or not, will not tessellate. In fact, no polygon with 7 or more sides will tessellate.
Is it possible to tessellate a plane by using any single type of regular polygon?
No because a regular polygon will only tessellate if its interior angle is a factor of 360 degrees. For example an equilateral triangle will tessellate because its interior angle is 60 degrees which is a factor of 360 degrees.
Why do shapes tessellate?
Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate. * * * * * Not correct. All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well. No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.
Can irregular polygons tessellate?
Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.
