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No, a regular pentagon and a square cannot tessellate together. While squares can tessellate on their own, pentagons have angles that do not allow them to fit together with squares without leaving gaps. The internal angles of a regular pentagon are 108 degrees, while those of a square are 90 degrees, making it impossible to create a continuous tiling without overlaps or spaces.

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6mo ago

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Related Questions

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.


Can you tessellate a triangle and a pentagon together?

yes you can tessellate a triangle and a pentagon together.


Will a square and circle tessellate together?

No but a square will tessellate on its own.


Why doesn't the regular pentagon tessellate?

A regular pentagon doesn't tessellate because of the way the sides are joined together and hes shape of the regular pentagon.Something along those lines anyway.....


Can a octagon and a square tessellate together?

no


What shape can't you tessellate?

A regular pentagon will not tessellate.


Can a triangle square and circle tessellate together?

No.


Does a pentagon tessellate?

yes


Can a pentagon tessellate with a hexagon?

no


Will a regular pentagon tessellate?

no


Will a regular pentagon and rectangle tessellate?

No


Will a pentagon and square tessellate?

Not a regular pentagon (equal sides) and square. But suppose the pentagons are shaped like a child's drawing of a house: a square with a triangle on top where the triangle is a right isosceles triangle (90, 45, 45 deg). Align a line of these pentagons with their "rooves" facing up. Next put a second row of inverted pentagons on top - apex-to-apex. The holes left will be squares. So tessellate away.