A regular polygon's angles are measured by the formula 180 * (n - 2) / n.
Regular polygons will only tesselate if m * ( 180 * (n - 2) / n ) = 360, where m is an integer.
Let's go through all the possible regular polygons.
3 sided polygon: m * ( 180 * 1 / 3 ) = 360 -> 60m=360 -> m=6, Able to tesselate
4 sided polygon: m * ( 180 * 2 / 4 ) = 360 -> 90m=360 -> m=4, Able to tesselate
5 sided polygon: m * ( 180 * 3 / 5 ) = 360 -> 108m=360. Not able to tesselate
6 sided: m * ( 180 * 4 / 6 ) = 360 -> 120m=360. Able to tesselate
We do not need to check more, for the polygons that are able to tesselate have a decreasing m value, from 6 to 4 to 3. The next possible m value would be 2, and we know this cannot happen, because if m = 2, then the polygon would have to have angles of 180 degrees; impossible.
Therefore, we can only tesselate using triangles, squares, and hexagons.
For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.
Strictly speaking, no, because a semi-regular tessellation must be based on regular polygons and rhombi are not regular polygons. However, octagons and rhombi can be used to make a non-regular tessellation.
The only shapes which can be used for a regular tessellation are:An equilateral triangle,A squareA regular hexagon.There are also non-regular polygons as well as shapes which are not polygons which can tessellate
Regular, although the term is more usually used with polygons and polyhedra.
See the answer below.
For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.
Strictly speaking, no, because a semi-regular tessellation must be based on regular polygons and rhombi are not regular polygons. However, octagons and rhombi can be used to make a non-regular tessellation.
The only regular polygons are those with 3, 4 or 6 sides.
Regular tessellations can be made using triangles, squares, and hexagons.
The only shapes which can be used for a regular tessellation are:An equilateral triangle,A squareA regular hexagon.There are also non-regular polygons as well as shapes which are not polygons which can tessellate
It has two regular polygons which can be used together to tessellate a plane.
Regular, although the term is more usually used with polygons and polyhedra.
All regular polygons. But there are also others which look like squashed versions of regular polygons. A "squashed" square makes a rhombus. Similarly there are squashed polygons with larger numbers of sides. They should be called equilateral polygons, but that phrase is not much used.
See the answer below.
There are regular polygons (with 3, 4 and 6 sides).There are irregular convex polygons (with 3, 4, 5 or 6 sides). There are [irregular] concave polygons with various numbers of sides.
Most regular polygons will not tessellate but if their interior angles is a factor of 360 degrees then they will tessellate or if their angles around a point add up to 360 degrees then they also will tessellate.
Semi-regular tessellation is a tessellation of the plane by 2 or more different convex regular polygons. A semi-regular tessellation combines two or more regular polygons. Each semi-regular tessellation has a tupelo, which designates what kind of regular polygon is used.