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Is it possible to create a tesselation using only regular pentagons?
Wiki User
∙ 10y ago
No because each interior angle is 108 degrees which is not a factor of 360 degrees
Wiki User
∙ 10y ago
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It's possible to create a regular tesselation with a regular octagon?
No.
Can a pentagon and rectangle tessellate?
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Is it possible to create a tessellation from pentagons?
Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
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.
Is it possible to create a regular tesselation with a regular polygon?
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
It's possible to create a regular tesselation with a regular octagon?
No.
Can a pentagon and rectangle tessellate?
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Is it possible to create a tessellation from pentagons?
Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
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.
Is it possible to create a regular tesselation with a regular polygon?
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
Its possible to create a regular tessellation with a regular pentagon?
No it is not.
It's possible to create a regular tessellation with a regular pentagon?
false
Is it possible to create a regular tessellation with a regular octagon and an equilateral triangle?
yes
Is it possible to create a regular tessellation with a regular polygon?
Inly if the polygon has 3, 4 or 6 sides.
It's possible to create a regular tessellation with a regular heptagon?
false
Which condition will not create a gap or an overlap at vertex of polygons?
You might be referring to what's called a tesselation of space. Tiles on a floor are one example of a tesselation: each tile is a polygon (a square most often) and when they are laid on the floor properly there are no gaps or overlaps. A honeycomb shows another kind of tesselation.
Its possible to create a regular tessellation with a regualr otagon?
Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.
