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Q: Can regular pentagon tessellate by themselves?

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Shapes such as circles, regular pentagons, and heptagons.Most regular polygons will not tessellate on their own. Only triangles, squares and hexagons will.With irregular polygons there is more of a choice. All isosceles or scalene triangles, parallelograms, trapeziums and kites will tessellate as will some higher order polygons.

It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.

Yes like all 4 sided quadrilaterals a kite will tessellate.

yes

hexagons work because each angle is 120 degress, as you say, and 3 times 120 equals 360 degrees. So three hexagons will surround a point with no 'space" left over. but the interior angle of a pentagon is108 degrees. three pentagons together only fill up 3 time 108, or 324 degrees. There is space left over. But four pentagons would overlap. so 3 is not enough and 4 is too many. Pentagons cannot surround a point the way hexagons do.

Related questions

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

no

A regular pentagon will not tessellate.

No

A regular pentagon

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.....

the answer is yes

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.

yes no yes no

no. only irregular pentalgons can tesselate

yes you can tessellate a triangle and a pentagon together.

No.

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