12/22/2023 0 Comments Tessellation meaning in matth![]() ![]() One was to not use squares and try to find another shape that would not leave any gaps or I could find a shape to fill in the gaps between the squares. So I started putting squares where they fit above each trapezoid but then I noticed there were gapes in between every two squares. I wanted to use one more shape to make it bigger. The trapezoids fit around the hexagon perfectly making a bigger hexagon around my centerpiece. Since I choose this to be my center shape my whole creation will be base off of that making every shapes the shape of a hexagon. I started off with one yellow hexagon in the middle. One big thing I notice when looking over the tessellation I came up with is that it is based off of hexagons. Below is the tessellation I created in class. I needed to create something cool out of the shapes then remake it over and over again creating a tessellation. So I can’t just put all these random shapes together. Another thing I needed to keep in mind was that I needed a pattern. I needed to look for shapes that went together without overlapping and leaving no gaps. When pulling out the pattern blocks there were a few things I had to remember and look for. Giving students the option to use all different sorts of manipulates allows their mind to run free with what they are wanting to create. In class I started out using pattern blocks. They have been around for thousands of years and are here to stay forever which is great for me considering I cannot wait to teach my students about tessellations. The start of the tessellation era led us to tiling on walls with clay but now we have realized we can do them anytime anywhere and how beautiful they look. With Fyodorov proving this, it unofficially began the mathematical study of tessellations. In 1891 Yevgraf Fyodorov proved that every periodic tilling contains one of seventeen different groups of isometries. In his book Harmonicies Mundi, he was the first to explain the hexagonal structures of honeycomb and snowflakes. In 1619, Johannes Kepler studied tessellations. These decorations were formed by patterns of clay tiles. The Sumerians used tessellations with building wall decorations around 4000 BC. I will also talk about why this is a good activity to use in your classroom. One was with pattern blocks and the other on isometric cube paper. In this blog I am going to talk about the history of tessellations and my thought process of two tessellations I created. ![]() In class we were asked to make a tessellation. These tessellations must also have a pattern in them that keeps going on until we run out of space on the paper or wherever you are making one or you just want to be done. A tessellation is tiling of a plane using one or more geometric shapes with no overlaps or gaps. When I asked my roommates what they thought it was they had no clue. I’m a math major and did not find out that long ago. Before this last year I was unsure about what a tessellation actually is. ![]()
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