Not with regular pentagons because each interior angle is 108 degrees which is not a factor of 360 degrees
No, not if your floor is flat. Regular pentagons do not tile the plane. You will always end up with empty space. You would need to use some other shapes too (or irregular pentagons) http://www2.spsu.edu/math/tile/defs/pentagon.htm
Well, pentagons that tile a plane need to have angles and side lengths that have one or more in the shape.
Find the area of the tile and this will depend on the shape of the tile. Tiles for regular or semi-regular tessellation may be triangular, quadrilateral (square, rectangular, rhombic, parallelograms, trapeziums), hexagonal or octagonal. The formula for the area in each case, is likely to be different.
Yes it can tile. * * * * * No, they cannot.
Not with regular pentagons because each interior angle is 108 degrees which is not a factor of 360 degrees
No, not if your floor is flat. Regular pentagons do not tile the plane. You will always end up with empty space. You would need to use some other shapes too (or irregular pentagons) http://www2.spsu.edu/math/tile/defs/pentagon.htm
Well, pentagons that tile a plane need to have angles and side lengths that have one or more in the shape.
Find the area of the tile and this will depend on the shape of the tile. Tiles for regular or semi-regular tessellation may be triangular, quadrilateral (square, rectangular, rhombic, parallelograms, trapeziums), hexagonal or octagonal. The formula for the area in each case, is likely to be different.
Yes it can tile. * * * * * No, they cannot.
no it can't If each angle is 150 so 150 times anything does not equal 360 * * * * * A correct answer but incorrect reasoning. First, there is no requirement in the question that the polygon is regular so the each angle need not be 150 degrees. As a counter-example to your reasoning, each interior angle of a regular pentagon is 108 degrees. 108 times anything does not equal 360. Yet there are 14 different non-regular pentagons which can be used to tile a surface.
An [equilateral] triangle, square and hexagon are the only regular polygons which, by themselves, will tile a surface.
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no
No.
Yes.
Not regular heptagons.