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Can a square and a pentagon tessellate?
No, a square and a pentagon cannot tessellate together. In order for two shapes to tessellate, their angles must add up to a multiple of 360 degrees. A square has angles of 90 degrees, while a regular pentagon has angles of 108 degrees. Since 90 and 108 do not add up to a multiple of 360, these shapes cannot tessellate together.
Does a regular pentagon tessellate a plane with no overlaps or gaps?
yes no yes no
Do Congruent regular pentagon's tessellate a plane?
No because the angles are not factors of 360 degrees
Can a pentagon tesselate?
Type your answer here... yes As of late 2016, there are 15 irregular pentagons which will tessellate.
You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
