All triangles will tessellate. All quadrilaterals will tessellate.
There are 15 classes of irregular convex pentagons (the latest discovered in 2015) which will tessellate.
Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate.
No convex polygon with 7 or more sides will tessellate.
There are many concave polygonal shapes as well as non-polygonal shapes which will tessellate. For example of the latter, look for MC Escher's symmetric artwork on the web.
Circles and simple ovals
no
No, it cannot.
No.
Yes, all quadrilaterals will tessellate.
Tessellation is defined as the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions. A periodic tiling has a repeat pattern. A regular quadrilateral can be used by itself to make a tessellation.
Yes it can
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
No, it is not possible.
The work "tessellation" is derived from a tessella, a small cuboid clay tile which was used to make mosaics. In the context of tessellation, as the term is used in modern geometry, the basic element is a plane shape such that multiple copies of the shape will cover a plane without gaps or overlaps.
No. Hexagons and squares will each tessellate by themselves but one can not make a tessellation out of hexagons and squares combined. However, if you add in a third shape, the triangle, one can make a tessellation.
How to Make a Tessellation?