Regular polygons tessellate because their interior angles can perfectly fit together without any gaps or overlaps. For example, in the case of equilateral triangles, squares, and hexagons, the angles add up to 360 degrees around a point, allowing them to fill a space completely. Only certain regular polygons—specifically, triangles, squares, and hexagons—can do this due to their specific angle measures. This property enables them to tile a plane efficiently.
Yes a regular 6 sided hexagon will tessellate
No.
Any polygon with external angles which are equal to a factor of 360 will tessellate. The only regular polygons which will tessellate are equilateral triangles, squares, and hexagons.
of course not. it mellessellates
Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.
There is no such polygon.
A regular pentagon
Yes a regular 6 sided hexagon will tessellate
No.
yes * * * * * Wrong! A nonagon, regular or not, will not tessellate. In fact, no polygon with 7 or more sides will tessellate.
Any polygon with external angles which are equal to a factor of 360 will tessellate. The only regular polygons which will tessellate are equilateral triangles, squares, and hexagons.
of course not. it mellessellates
If their exterior angles are factors of 360 then they will tessellate.
Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.
No because as the polygon gets smaller the angles and sides get biggerso they can't tessellate by themselves.
An equilateral triangle, a square and a hexagon.
No, it is not true that you cannot tessellate a six-sided polygon by itself. Hexagons are a type of polygon that can tessellate, which means they can be arranged in a repeating pattern to completely cover a plane without any gaps or overlaps.