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Describe a combination of a regular octagon and another regular polygon that will tessellate the plane?

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


Can a regular heptagon tessellate a plane with no overlaps or gaps?

No.


Can a regular octagon tessellate the plane by itself?

No


Does a octagon tile the plane?

A regular octagon will not tessellate but an irregular one can.


Does a regular pentagon tessellate a plane with no overlaps or gaps?

yes no yes no


What regular figure can be used with a regular octagon to tessellate the plane?

Square.


What regular polygons can tessellate a plane with no overlaps or gaps?

Triangle, square and hexagon


Which regular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


Which ragular polygons can tessellate a plane with no overlaps or gaps?

Equilateral triangle, square and regular hexagon.


Is it possible to make a tesselation with a regular octagon?

No. To tessellate a plane you would also need squares.


Can a pentagon be tessellate a plane with no overlaps or gaps?

No not normally


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.