Q: It's possible to create a regular tesselation with a regular octagon?

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yes

Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.

No because each interior angle is 108 degrees which is not a factor of 360 degrees

Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.

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.

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yes

Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.

No because each interior angle is 108 degrees which is not a factor of 360 degrees

Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.

An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.

No - because they would leave a small, square-shaped space between each tile.

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.

A regular octagon can tessellate the plane when combined with regular squares. By placing a square in the center of the octagon and surrounding it with eight octagons, the shapes can be repeated infinitely, filling the plane without gaps or overlaps

No it is not.

false

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.

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.