![]() What are the other two? They are triangles and hexagons. Of course, you would have guessed that one is a square. Each vertex (the points where the corners of the tiles meet) should look the same.All the tiles must be the same shape and size and must be regular polygons (that means all sides are the same length).The tessellation must cover a plane (or an infinite floor) without any gaps or any overlaps.There are only three rules to be followed when doing a "regular tessellation" of a plane If you use only one kind of polygon to tile the entire plane - that's called a "Regular Tessellation"Īs it turns out, there are only three possible polygons that can be used here. There are different kinds of tessellations – the ones of most interest are tessellations created using polygons. The word “Tiling” is also commonly used to refer to "tessellations". Of course, when we are talking about floors, the shapes used to cover it are mostly rectangles or squares (in fact, the word " tessellation" comes from the Latin word tessella - which means " small square"). The one difference here is that technically a plane is infinite in length and width so it's like a floor that goes on forever. That is a good example of a "tessellation". And you'll notice that the floor is covered with some tiles or marbles of different shapes. That is a flat surface - called a "plane" in mathematical terms. To explain it in simpler terms – consider the floor of your house. A tessellation is simply is a set of figures that can cover a flat surface leaving no gaps.
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