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Can regular pentagons and regular hexagons fit together to rip a flat surface?
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Can you tile a surface with a regular hexagon?
Yes you can. Envision a beehive - it is made of regular hexagons.
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.
How many pentagons tessellate to make a 3d shape?
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
Do the pentagons and the hexagons on its surface help the soccer ball do anything?
Yes, in theory: the number of panels a ball has determines the movement and spin a player can create due to reduced drag from less edges and vertices. The size and weight of an official ball must comply with FIFA guidelines. The current World Cup match ball (adidas' Jabulani) has 8 panels, none of which are hexagons or pentagons. The materials used are also in constant evolution: the Jabulani is not made of traditional leather, but of textured ethylene-vynil acetate (EVA).
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
Why do bees build their nests using pentagons?
They do not use pentagons but hexagons. Hexagons are the most efficient division of a surface.
Can a regular octagon be tessellated?
no it cant be unless you use pentagons and octagons like on a soccer ball * * * * * That is an unbelievably rubbish answer! Tessellation - unless otherwise specified - refers to covering a 2-d surface, not the surface of a sphere. Normal soccer balls do not have pentagons and octagons but pentagons and hexagons.
Can you tile a surface with a regular hexagon?
Yes you can. Envision a beehive - it is made of regular hexagons.
Will pentagons fit together to form a flat surface?
No it will not tesselate.
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.
What is the surface area of a soccer ball that has 12 pentagons and 20 hexagons?
A regulation size 5 soccer ball has a circumference between 68 and 70 centimeters. This translates into a surface area between 1471.865 cm2 and 1559.718 cm2.
How many pentagons tessellate to make a 3d shape?
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
Do the pentagons and the hexagons on its surface help the soccer ball do anything?
Yes, in theory: the number of panels a ball has determines the movement and spin a player can create due to reduced drag from less edges and vertices. The size and weight of an official ball must comply with FIFA guidelines. The current World Cup match ball (adidas' Jabulani) has 8 panels, none of which are hexagons or pentagons. The materials used are also in constant evolution: the Jabulani is not made of traditional leather, but of textured ethylene-vynil acetate (EVA).
What does a tessellation look like?
They are shapes or figures that can be put together to form a surface with no cracks in between and no overlapping. Squares, hexagons, and triangles are all examples of tesselations.
What would a 3d hexagon look like from the side?
A regular hexagon cannot make a 3d figure because a regular hexagon tessellates. As a result t will make a large tiled surface. If the hexagon is not regular then the side elevation will depend on the shape of the hexagons and how they are configured.
What is the surface of a hexahedron?
They are plane faces which can have from 3 to 5 sides (triangles, quadrilaterals and pentagons)..
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
