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How many regular polygons tesselate?
By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.
Can a pentagonal prism tesselate?
Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.
Does a regular 20 sided polygon tesselate?
No
Why does a regular octagon doesn't tesselate?
A regular octagon does not tessellate because the interior angles of a regular octagon, which measure 135 degrees, cannot perfectly fit together without leaving gaps. When attempting to tile a plane with regular octagons, the angles do not sum to 360 degrees around a point, making it impossible to cover a surface without overlaps or spaces. In contrast, shapes like equilateral triangles, squares, and hexagons can tessellate since their angles can combine to meet the necessary conditions for tiling.
Is octagon regular or not?
An 8 sided octagon can be either regular or irregular in shape.
How many regular polygons tesselate?
By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.
Can a regular octagon and a square tessellate?
You cannot use a regular octagon on it's own to make a tiling pattern without any gaps. However a regular Octagon and a square can be used together to make a tessellation. Many people think that regular octagons tesselate on their own because they do not appreciate the need for no gaps.
Can a regular heptagon tesselate?
No, it cannot.
Can a regular heptagon tesselate itself?
No.
Does a regular hexagon tesselate?
Yes, a regular hexagon does tessellate.
Can a pentagonal prism tesselate?
Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.
Does a regular 20 sided polygon tesselate?
No
Which regular polygons will tesselate?
Triangle, square, hexagon.
Why does a regular octagon doesn't tesselate?
A regular octagon does not tessellate because the interior angles of a regular octagon, which measure 135 degrees, cannot perfectly fit together without leaving gaps. When attempting to tile a plane with regular octagons, the angles do not sum to 360 degrees around a point, making it impossible to cover a surface without overlaps or spaces. In contrast, shapes like equilateral triangles, squares, and hexagons can tessellate since their angles can combine to meet the necessary conditions for tiling.
Is a rectangle a regular tesselate?
Yes a rectangle will tessellate with no gaps or overlaps
Can a regular pentagon tessellate by it self?
no. only irregular pentalgons can tesselate
You cannot tesselate eight sided regular polygons by themselves?
True
