Yes
yes
Whatshapes/pictures can create tessellations?Triangles,hexagons & squares.
Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.
Regular tessellations can be formed by three types of polygons: equilateral triangles, squares, and regular hexagons. These shapes can cover a plane without gaps or overlaps, as their internal angles appropriately fit together. Other polygons, such as pentagons or heptagons, do not create a regular tessellation because their angles do not allow for a perfect fit around a point.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
No it is not.
false
yes
Whatshapes/pictures can create tessellations?Triangles,hexagons & squares.
false
Inly if the polygon has 3, 4 or 6 sides.
Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.
Regular tessellations can be formed by three types of polygons: equilateral triangles, squares, and regular hexagons. These shapes can cover a plane without gaps or overlaps, as their internal angles appropriately fit together. Other polygons, such as pentagons or heptagons, do not create a regular tessellation because their angles do not allow for a perfect fit around a point.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
No, it is not possible to create a regular tessellation using regular heptagons. A regular tessellation requires that the interior angles of the shapes used add up perfectly around a point, and the interior angle of a regular heptagon is approximately 128.57 degrees. Since this angle does not divide evenly into 360 degrees, regular heptagons cannot tessellate the plane without leaving gaps or overlapping.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.