Welcome back to the Blog about Mathematics. This week’s topic will be the tessellation. I will be analyzing my featured image and connect it to mathematics. A tessellation is a picture that is created by using patterns. The patterns can include multiples of the same shape or multiples of the same shapes. The picture created by the patterns must be able to fill the space of any paper without overlapping or gaps in order to be considered a tessellation. In this tessellation, two shapes are used. Triangles and the shapes that form flowers are used here. Tessellations are created as works of art. Mathematics can be applied in order to create works of art. I chose the tessellation as the picture for this week because tessellations are the works of art where application of mathematics is most obvious. The sum of measures of angles that share a point must be equal to three hundred sixty degrees in order to form a tessellation. Many transformations are used to create tessellations. Triangles that share lines are exact reflections of each other. Translations are the most common transformation in any transformation. (If anyone can prove me wrong, they should post the link of their proof as a comment.) All of the triangles are exact copies of other triangles that are pointing in the same direction. Glide reflections can be found in this tessellation. The triangles are translated both horizontally and vertically. All of the triangles are translations of other triangles pointing in the same direction and reflections of triangles that are in the same row, but pointing towards each other. I hope I analyzed the tessellation well. Let me know in the comments if you are still confused. I won’t be back for a while. You could follow my other blog while you wait for me to come back here.

©Crystal A Murray(CC BY-NC-SA 2.0)

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