Can you tessellate a square

A regular tessellation is a pattern made by repeating a regular polygon. A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same! To name a tessellation, go around a vertex and write down how many sides each polygon has, in order There are also "demiregular" tessellations, but mathematicians disagree on what they actually are!

Multiple regular shapes color maroon "Squares, triangles " color blue " Large grid of squares and triangles" color maroon "Hexagons, triangles" color blue " Large grid of hexagons and triangles" color maroon "Hexagons, squares, triangles" color blue " Large grid of hexagons, squares and triangles" color maroon "Octagons, squares"color blue " Large grid of octagons and squares" color maroon "Dodecagons, triangles" color blue " Large grid of dodecagons and triangles" color maroon "Dodecagons, hexagons, squares" color blue " Large grid of dodecagons, hexagons and squares".

Other shapes color purple "Irregular pentagons" color magenta " Large grid of irregular pentagons" color purple "Waffle pattern" color magenta " Large grid of waffle pattern" color purple "Fish patterns color magenta " Large grid of fish patterns". Which of the following shapes is needed to tessellate with octagons? Jul 17, As explained below. Explanation: color brown "What does it mean for a shape to tessellate?

Every tessellation is a repeating pattern. Even more importantly, every repeating pattern is based on a tessellation. A lot of things in the world have repeating patterns on them, and understanding the maths going on behind the pattern makes it a lot easier to design them.

Tessellations are used on everything from carpets to wrapping paper. Manufacturing companies also use tessellations. Often they want to cut as many pieces out of a sheet of metal as possible. If the pieces tessellate, then they can minimise the gaps, and that means they get more pieces.

Trying to avoid gaps in this way is a very famous problem, known as a packing problem. Mathematicians have been trying to solve these types of problems for hundreds of years. Try starting with a hexagon for an extra challenge! Check out a new tessellation discovered recently by mathematicians. By posting a comment you are agreeing to the Double Helix commenting guidelines. Notify me of follow-up comments by email. The other grid looks strange, as we don't recognise squares as easily when they are tilted.

Large grids of triangles and squares to print or save - both types. Here, the hexagons are further apart, with a line of triangles between them. These tessellations can be made with triangle grids. Penrose tiles - these are based on five-fold symmetry, and they never repeat!