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Q: Will a square and a circle tessellate?

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No but a square will tessellate on its own.

no

Yes. A simple case would be where they combine into a square.

In order for a polygon to tessellate, the angles must add up to 360 degrees, to come full circle. Triangles have 60 degree angles, so 6 of them circle together. Squares have 90 degree angles, so 4 of them tessellate to a point. Hexagons can even tessellate, because the 120 degree angles add up to 360. But pentagons have 108 degree angles. Three of them add up to 324, only leaving 36 degrees left to close the circle.

No. Circles lack straight edges, and thus cannot tesselate with triangles.

Related questions

No but a square will tessellate on its own.

No.

A square can tessellate but a regular pentagon can't tessellate

No.

No.

No.

because a circle is round. you need uncurved edges to tessellate.

yes

No. Bye

No, but an octagon and a square can tessellate.

Hexagon: Yes Circle: No

Yes.

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