A shape tessellates when it can cover a flat surface without any gaps or overlaps. This typically occurs when the interior angles of the shape can add up to 360 degrees at each vertex where the shapes meet. Regular polygons, such as equilateral triangles, squares, and hexagons, are common examples of shapes that tessellate. Irregular shapes can also tessellate if they meet the angle and coverage criteria.
transversal
Some 3D shapes will tessellate as for example a brick wall
Yes because all 4 sided quadrilaterals will tessellate
Usually not. A part of a circular shape will not.
Any shape tesselates any of its covering spaces.
A regular pentagon will not tessellate.
Yes under certain dimensional conditions.
No.
Yes
No
transversal
Some 3D shapes will tessellate as for example a brick wall
Yes because all 4 sided quadrilaterals will tessellate
Yes it does tesselate.
Usually not. A part of a circular shape will not.
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.