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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.
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Will a regular pentagon tessellate?
no
Can a pentagon tessellate with a hexagon?
no
Can a square and a pentagon tessellate?
No, a square and a pentagon cannot tessellate together. In order for two shapes to tessellate, their angles must add up to a multiple of 360 degrees. A square has angles of 90 degrees, while a regular pentagon has angles of 108 degrees. Since 90 and 108 do not add up to a multiple of 360, these shapes cannot tessellate together.
Why dont pentagons tessellate?
all sides have to be equal to tessellate .so the answer depends on the pentagon
Is a rectangle tessellate?
The rectangle is the simplest and most obvious case of a geometrical form that can tile a plane.
