Q: Can a regular pentagon be used to tile a floor?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

it can in accompaniment with squares.

No.

A regular pentagon is one example.

A pentagon has 5 sides.A regular pentagon has no right angles (5 interior angles each 108 degrees).An irregular pentagon can have at most 3 right angles, because a 4th would leave 180 degrees to be used for the final angle (540-360), which is a straight line.

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.

Related questions

it can in accompaniment with squares.

wall tiles are used on walls. floor tiles are used on floors. if you want to interchange. you can make the wall tile as floor tile and vice-versa

Yes, travertine tile can be used on the floor of a gas fireplace.

Purchase a tube of colored caulk matching (or close to) the grout you used on the floor tile.

No, it cannot.

No.

Slippy floor.

it may not be adhereing to the tile adhesive (not enough used or improperly installed?)

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.

Green screed by BAL

If what you mean by carpet sweeper, is a regular vacuum, then they can only be used on tile floors if they have a selection that is special for bare floors.

yes because, well lets let you answer this one why.