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You cannot tessellate eight-sided polygons by themselves?
True
Is there such thing as a 3D hexagon?
No. Regular hexagons tessellate and cannot form a 3-d shape.No. Regular hexagons tessellate and cannot form a 3-d shape.No. Regular hexagons tessellate and cannot form a 3-d shape.No. Regular hexagons tessellate and cannot form a 3-d shape.
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.
Why can't a regular octagon tessellate?
To be able to tessellate where a vertex meets other vertices, the total of those angles must be a full circle of 360°. The interior angle of an Octagon is 135° which does not divide into 360° which means there cannot be a complete number of vertices meeting and so it cannot, by itself, tessellate. However, two octagons meeting at a point would have 135° + 135° = 270° leaving 90° which is the interior angle of a square. So octagons and squares together will tessellate.
Explain why a regular nonagon does not tessellate?
because there are to many sides * * * * * Each interior angle of a regular nonagon is 140 degrees. At any point in the tessellated plane, a whole number of shapes must come together and the sum of their interior angles must be 360 degrees. 140 does not go into 360 and so a regular nonagon cannot tessellate.
Can you tessellate five sided regular polygons by themselves?
five-sided polygons cannot tessellate
Is it true that you cannot tessellate seven sided polygons by themselves?
You cannot tessellate convex polygons with 7 or more sides.
You cannot tessellate seven sided polygons by themselves?
True.
You cannot tessellate eight-sided polygons by themselves?
True
You cannot tessellate six-sided regular polygons by themselves.?
False
You cannot tessellate eight-sided regular polygons by themselves.?
True
You cannot tessellate eight-sided regular polygons by themselves?
true
You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
Is it true You cannot tessellate seven sided regular polygons by themselves?
Yes, it is true that you cannot tessellate seven-sided regular polygons (heptagons) by themselves. This is because the interior angle of a regular heptagon is approximately 128.57 degrees, which does not divide evenly into 360 degrees. As a result, heptagons cannot fit together without leaving gaps or overlapping, thus preventing them from tessellating.
CAn You cannot tessellate eight sided regular polygons?
A regular octagon will not tessellate - the 'spaces' left over are squares.
Which polygons cannot be used to form a regular tesselation?
Most regular polygons will not tessellate but if their interior angles is a factor of 360 degrees then they will tessellate or if their angles around a point add up to 360 degrees then they also will tessellate.
Can irregular polygons tessellate?
Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.
