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To determine which combinations will tile a flat surface, you need to check if the shapes can cover the area without gaps or overlaps. Regular polygons like squares, equilateral triangles, and hexagons can tile a flat surface effectively. Some irregular shapes can also tile, but their specific arrangements must be analyzed. Generally, the key is that the interior angles of the shapes must add up to 360 degrees around a point where they meet.

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1mo ago

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Can a octagon tile a flat surface alone?

A regular octagon cannot tile a flat surface, it needs squares as fillers. An irregular octagon can tile a flat surface alone.


Can squares and regular octagons tile a flat surface?

Yes, squares can tile a flat surface because their equal sides and right angles allow them to fit together without any gaps. Regular octagons, however, cannot tile a flat surface by themselves because their angles (135 degrees) do not allow for a perfect fit without leaving gaps. However, a combination of squares and octagons can tile a flat surface, as the squares can fill in the gaps created by the octagons. This arrangement is known as a semi-regular tiling.


Which regular polygons will fit together to tile a flat surface?

Triangles, squares and hexagons. That is if they all have to be the same. If you use different regular polygons, you can tile a flat surface with triangles and 12-sides or with squares and 8-sides for example.


Can regular pentagons and regular hexagons tile a flat surface?

Regular pentagons cannot tile a flat surface without leaving gaps, as their internal angles (108 degrees) do not allow for a perfect fit. In contrast, regular hexagons can tile a flat surface efficiently because their internal angles (120 degrees) allow them to fit together perfectly without any gaps. Thus, while hexagons are capable of tiling, pentagons are not.


Can a dodecagon be used to tile a flat surfc?

No, a regular dodecagon cannot be used to tile a flat surface. Tiling requires shapes to fit together without gaps or overlaps, and the internal angles of a regular dodecagon (150 degrees) do not allow for such arrangements. While irregular dodecagons might be able to tile under certain configurations, a regular dodecagon cannot do so on its own.

Related Questions

Can a octagon tile a flat surface alone?

A regular octagon cannot tile a flat surface, it needs squares as fillers. An irregular octagon can tile a flat surface alone.


What type of underlayment do you need when installing tile floor?

Before installing tile flooring, you need a clean FLAT surface. Tile is not a flexible material so the flat surface ensures the tile will match up correctly. You also need to sand the underneath flooring so that the grout and tile cement will be able to form a cohesive nature with tile and permanently fix the tile to the surface.


Which regular polygons will fit together to tile a flat surface?

Triangles, squares and hexagons. That is if they all have to be the same. If you use different regular polygons, you can tile a flat surface with triangles and 12-sides or with squares and 8-sides for example.


When were ancient roman mosaics made?

Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.Mosaics are made of small pieces of tile which form a design or a picture. This picture is affixed to a flat surface, usually a floor. You can liken them to our present day ceramic tile floors.


Can you cover rough slate tiles with linoleum?

Linoleum must be on a firm flat surface. It is recommended that the tile be removed.


How far does a ball roll on tile?

The distance a ball rolls on tile would depend on factors such as the initial velocity, surface friction, and angle of inclination. In general, the smoother the tile surface and the greater the initial velocity, the farther the ball will roll.


Can you lay engineered hardwood over tile flooring?

Yes, you can lay engineered hardwood over tile flooring as long as the tile is in good condition and the proper preparation steps are taken to ensure a flat and stable surface for installation.


Can you lay LVP over tile flooring?

Yes, luxury vinyl plank (LVP) can be installed over tile flooring as long as the tile surface is clean, flat, and in good condition. It is important to follow the manufacturer's guidelines for installation to ensure a successful outcome.


Can you tile over kitchen carpet?

Not really...for tile to be properly set it must be on a hard surface. A carpeted surface will not provide the hard surface needed for tile to properly bond.


Can you put luxury vinyl plank flooring over tile?

Yes, luxury vinyl plank flooring can be installed over tile as long as the tile surface is clean, flat, and in good condition. It is important to follow the manufacturer's guidelines for installation to ensure a proper and long-lasting result.


Can you tile over fireplace tiles?

Though people do tile over tile, it's really not recommended. The underlying surface can make or break a tile installation. Preparing that surface is the most important step. So I'd remove the old tile, prepare the surface properly and then install your new tile. This will insure the long lasting beauty of your fireplace tile.


Can a dodecagon be used to tile a flat surfc?

No, a regular dodecagon cannot be used to tile a flat surface. Tiling requires shapes to fit together without gaps or overlaps, and the internal angles of a regular dodecagon (150 degrees) do not allow for such arrangements. While irregular dodecagons might be able to tile under certain configurations, a regular dodecagon cannot do so on its own.