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Can a regular pentagon be used to tile a floor?
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
Why cant a regular pentagon be used to create a regular tessellation?
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.
How are pentagons used in the real world?
The US "Pentagon" building is an example of their use.
What shape can be used to create a regular tessellation?
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
Which figure can not be used as a tessellation a square or a triangle or a pentagon or a hexagon?
All of them can be used.Any triangle or quadrilateral will tessellate. There are 15 classes of irregular convex pentagons which will tessellate. Regular hexagons and 32 classes of irregular convex hexagons will tessellate. There are also concave pentagonal and hexagonal shapes which will tessellate.
How many regular pentagons are used for a bodecahedron?
Not sure about a bodecahedron, but a dodecahedron has 12.
How many faces vertices and edges does a football have?
Footballs are not all the same.One shape that was used for footballs is the truncated icosahedron. The shape has 12 regular pentagons and 20 regular hexagons. It has 32 faces, 60 vertices and 90 edges.Footballs are not all the same.One shape that was used for footballs is the truncated icosahedron. The shape has 12 regular pentagons and 20 regular hexagons. It has 32 faces, 60 vertices and 90 edges.Footballs are not all the same.One shape that was used for footballs is the truncated icosahedron. The shape has 12 regular pentagons and 20 regular hexagons. It has 32 faces, 60 vertices and 90 edges.Footballs are not all the same.One shape that was used for footballs is the truncated icosahedron. The shape has 12 regular pentagons and 20 regular hexagons. It has 32 faces, 60 vertices and 90 edges.
Can a regular pentagon be used to tile a floor?
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
Why cant a regular pentagon be used to create a regular tessellation?
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.
Who used the first dodecahedron?
The romans. (not sure WHO exactly, but i know it was them.)
What is the number of hexagons and pentagons on an official soccerball?
There is no standard. The 2014 World Cup in Rio, for example, used the Adidas Brazuca which has no pentagons nor hexagons.
What shapes are used in a pentagon prism?
5 rectangles and two pentagons
How many heptagons are on a soccer ball?
On an official soccer ball you will find 20 hexagons and 12 pentagons. There are 60 points in which the corners of the hexagons and the hexagons connect, and the hexagons and the pentagons connect. The 20 hexagons are white, while the 12 pentagons are white.
How are pentagons used in the real world?
The US "Pentagon" building is an example of their use.
How many pentagon and hexagon are there in a volly ball?
An official soccer ball with hexagons and pentagons used as the pattern to cover it's internal rubber bladder consists of 32 panels. (There are other patterns available.)The 32 panel pattern is as follows:each pentagon is surrounded by five hexagonsthree pentagons touch each hexagon, each pentagon is separated by one of the sides of the hexagonthe lengths of the sides of the hexagons and pentagons are the sameThis being said, on an official soccer ball there are 20 hexagons and 12 pentagons.
How many faces does a football have?
Generally, there are 32 panels. A link is provided to the Wikipedia post on the ball used in football (soccer). New designs feature other construction techniques and different shapes (and numbers) of the panels.)
Why is the expression twelve times five divided by three used to find the verticies of a dodecahedron?
A dodecahedron has 12 faces. Each face is a pentagon (5 sides). Each vertex is formed where three faces meet.
