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Why does a regular pentagon wont tessellate and a regular hexagon will?
The interior angle of a regular pentagon is 108 degrees, whereas that of a hexagon is 120 degrees.At the point where the tessellating polygons meet, the sum of all the angles must be 360 degrees. 108 does not divide 360 evenly whereas 120 does.
What is a regular tilling of a plane shape called?
It is tessellating where there are no gaps or overlaps.
What do all tessellating shapes do?
tessalating shapes are shapes that can be moved in different angles from one point of the shape
What are polygons that are regular polygons?
regular polygons are the ones that all sides are equal
How are polygons classified?
polygons are classified according to?
If a tessellation is regular how many sides can the tessellating polygon have?
The tessellating shape can have 3, 4 or 6 sides.
Explain why regular polygons with more than 6 sides will not tessellate?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.
Can any tessellating shape be used as a unit for measuring area?
Yes a unit for measure can be used as a tessellating shape:)
Can regular pentagon tessellate by themselves?
"yes"The answer above is incorrect. it was proven hundreds of years ago that regular pentagons do NOT tessellate. there are methods for tessellating pentagons, but they are not regularpentagons.yes the answer in the middle is write polygons can not tessellate
Can you make a tessellation with non-tessellating polygons if you combine more than one shape?
yes it can, it is quite easy to pick a non tessellate shape and pick another shape(tessellate or not) that when put together make a square and there you go.
Does a decagon tesselate?
yes of course * * * * * A decagon does NOT tessellate. All triangles and quadrilaterals do, there are 14 tessellating pentagons and a number of hexagons (including regular hexagons). There are no tessellations which use polygons of the same shape - regular or irregular - for polygons with 7 or more sides.
Why will only three of the regular polygons tessellate the plane?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.
Why does a regular pentagon wont tessellate and a regular hexagon will?
The interior angle of a regular pentagon is 108 degrees, whereas that of a hexagon is 120 degrees.At the point where the tessellating polygons meet, the sum of all the angles must be 360 degrees. 108 does not divide 360 evenly whereas 120 does.
What is a regular tilling of a plane shape called?
It is tessellating where there are no gaps or overlaps.
what is the name of polygons you given to a shape?
There are lots of different types of polygons Polygons are classified into various types based on the number of sides and measures of the angles.: Regular Polygons Irregular Polygons Concave Polygons Convex Polygons Trigons Quadrilateral Polygons Pentagon Polygons Hexagon Polygons Equilateral Polygons Equiangular Polygons
How do you determine which type of transformation could be used on a tile as part of the tessellating plane?
by saying no
Which shape have more than one vertex?
All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.All polygons and polyhedra.
