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.
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.
A standard sphere, like a ball, has no flat faces; it is a three-dimensional shape with a continuous curved surface. Therefore, it can be said to have zero faces. However, if you're referring to a polyhedral ball, such as a soccer ball, it is made up of multiple flat faces, typically hexagons and pentagons. In that case, the number of faces would depend on the specific design of the ball.
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
A regular octagon cannot tile a flat surface, it needs squares as fillers. An irregular octagon can tile a flat surface alone.
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.
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.
No it will not tesselate.
They aren't - only. If you only used hexagons, you wouldn't be able to make them into a ball. Sticking only hexagons together would give you a flat piece of fabric. To get a ball shape, you use 12 pentagons, and 20 hexagons, with the same length sides. That combination is what allows you to make something nearly perfectly round out of bits that are actually flat.
Twelve regular pentagons comprise the faces of a dodecahedron.
None, they're all curved. A classic football (seldom used anymore) has 20 hexagons and 12 pentagons. The current Adidas Jabulani has 8 panels.
A standard sphere, like a ball, has no flat faces; it is a three-dimensional shape with a continuous curved surface. Therefore, it can be said to have zero faces. However, if you're referring to a polyhedral ball, such as a soccer ball, it is made up of multiple flat faces, typically hexagons and pentagons. In that case, the number of faces would depend on the specific design of the ball.
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
A regular octagon cannot tile a flat surface, it needs squares as fillers. An irregular octagon can tile a flat surface alone.
Flat 2-D objects with edges are known as polygons. These shapes are defined by straight line segments that connect at vertices, forming a closed figure. Common examples include triangles, quadrilaterals, pentagons, and hexagons, each classified based on the number of edges or sides they possess. Polygons can be regular, with all sides and angles equal, or irregular, with varying side lengths and angles.
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.
calcite has a regular arrangement of atoms.