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A regular pentagon has 5 equal sides and 5 equal angles. If each vertex (corner) is joined by a line to the pentagon's centre there are 5 equal angles at the centre, which total 360 degrees. Therefore each one is 360/5 degrees = 72 degrees. The other angles inside the 5 triangles are equal and must total 180 - 72 degrees = 108 degrees. The "external angles" equal the ones at the centre (72 degrees).
Now, if a regular figure is to tesselate it must have angles which are simple fractions of 360 degrees, like 10 or 15 or 20 or 30, 40. 45, 60, 90, and angles of 72 or 108 degrees are no use for the purpose.
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∙ 12y ago
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Can Regular pentagon tile the plane?
No.
Can a regular pentagon and regular hexagon tile together in a plane?
Yes it can tile. * * * * * No, they cannot.
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
Can a regular triangle tile a plane?
Yes.
Can a regular heptagon and equilateral triangle tile a plane?
No
Does a regular pentagon tile the plane?
no
Can Regular pentagon tile the plane?
No.
Can a regular pentagon and regular hexagon tile together in a plane?
Yes it can tile. * * * * * No, they cannot.
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
Can Regular hexagon tile the plane?
Yes.
Can regular octagon tile the plane?
Not by itself.
Will a square and a regular heptagon tile a plane?
No.
Can a regular triangle tile a plane?
Yes.
Will a regular heptagon and equilateral triangle tile a plane?
No.
Can a regular heptagon and equilateral triangle tile a plane?
No
Can a regular polygon always tile the plane?
Not always
Is it possible to tile a floor with copies of a regular pentagon?
yes you can draw a picture to help
