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Can regular pentagons and regular hexagons tile a flat surface?
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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 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 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.
Are the faces of a polyhedron all flat surfaces?
Yes and its flat surface faces are in regular shapes.
What is a flat closed surface that has congruent and parallel opposite sides?
That could be numerous polygons: a square, a regular hexagon, a regular octagon, a regular dodecagon ... Any regular polygon with an even number of sides could be your answer.
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.
Will pentagons fit together to form a flat surface?
No it will not tesselate.
Why does a soccer ball have pentagons and hexagons on it?
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.
What solid has 12 flat faces?
Twelve regular pentagons comprise the faces of a dodecahedron.
How many flat panels are there on a soccer ball?
None, they're all curved. A classic football (seldom used anymore) has 20 hexagons and 12 pentagons. The current Adidas Jabulani has 8 panels.
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 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.
Why does calcite break in smooth flat surface?
calcite has a regular arrangement of atoms.
Are the faces of a polyhedron all flat surfaces?
Yes and its flat surface faces are in regular shapes.
Does a plane mirror produce regular or diffuse reflections?
A flat plane mirror produces regular reflections since its polished reflective surface is flat compared to the wavelength of light. If the surface is rough or irregular compared to the wavelength, the light will be scattered, resulting in diffuse reflection.
Is the sphere has a flat surface?
It does not have a flat surface.
What is a flat closed surface that has congruent and parallel opposite sides?
That could be numerous polygons: a square, a regular hexagon, a regular octagon, a regular dodecagon ... Any regular polygon with an even number of sides could be your answer.
