No, as the works of the Dutch artist Maurits Cornelis Escher show.
I will place a link below that may help you with this question. and more.
regular
true.. and polygon
false
polygon Good Luck with
A tessellation is when a shape is repeated over and over creating an image without any spacing.... like triangles put together next to one another in an endless plane.The tessellation is a repeating pattern of figures that covers a plane without any gaps or overlaps.Honeycomb is a tessellation of hexagonal cells. You can see tessellation on some pavements.Source: http://www.icoachmath.com/SiteMap/Tessellation.html
No, not normally
true!! apex.
Circles and simple ovals
false
Tessellations are named based on the number of polygons located at a vertex. For example: A regular tessellation, made from only triangles is named 3.3.3
Only if the quadrilateral is a square.
It is a regular tessellation.
A tessellation is the laying out of one or more convex polygons over a certain amount of space without gaps. A pure tessellation is a tessellation in which only one shape is applied to cover an area.A tessellation is a design that covers a plane with no gaps and no overlaps.A pure tessellation is one that uses only one shape
regular
true.. and polygon
No. Because tessellation is about using lost (infinitely many) copies of a polygon to cover a surface, One polygon does not comprise a tessellation.
A regular polygon has 3 to 5 or more sides and angles, they should be all equaled. A regular tessellation means a tessellation made up of congruent regular polygons.