No because each interior angle is 108 degrees which is not a factor of 360 degrees
No.
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
it can tessellate * * * * * NO IT CANNOT! A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees. The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation. . Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
No.
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
it can tessellate * * * * * NO IT CANNOT! A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees. The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation. . Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
No it is not.
Yes, regular pentagons and regular hexagons can fit together to tile a flat surface. This combination can create a tessellation pattern where the pentagons and hexagons alternate, filling the space without any gaps. However, it requires careful arrangement and specific angles to achieve a seamless fit, as the internal angles of these shapes are different. Generally, this type of tiling is more complex than using just one type of polygon.
false
yes
false
Inly if the polygon has 3, 4 or 6 sides.
You might be referring to what's called a tesselation of space. Tiles on a floor are one example of a tesselation: each tile is a polygon (a square most often) and when they are laid on the floor properly there are no gaps or overlaps. A honeycomb shows another kind of tesselation.