Semi-Regular TessellationA When two or three types of polygons share a common vertex, a semi-regular tessellation is formed. There are three types of regular tessellations: triangles, squares and hexagons. What is the length of the line segment joining points B and F? Regular tessellationsA Regular tessellations are tile patterns made up of one single shape placed in some kind of pattern.Line up the shapes to make a colorful tessellation (no gaps) and glue them to a piece of colored paper. Use the template shapes to cut the colored paper. Use the above figure to answer the questions that follow: Cut out the pre-drawn triangles in the template or design your own. Question.In an equilateral triangle tessellation, how many triangles must meet at a vertex An equilateral triangle has three sides, so n 3. Tessellation, also referred to as tiling, is a pattern of repeating shapes without gaps or overlaps as they cover a surface or geometric plane. Jennifer Li and Maggie Smith Tessellations Ap13 / 39. He used regular octagons, squares and triangles for his floor tessellation pattern n 3 180 1 2 3 180 3 60 Each angle in an equilateral triangle is 60 degrees. To ensure accuracy in his work, he made the pattern on the Cartesian plane. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons.Ī craftsman thought of making a floor pattern after being inspired by the above design. At the right of Figure 2 we see a somewhat larger pattern, along with the distribution of the count of live cells at each generation after 45,000 generations. You may find tessellation patterns on floors, walls, paintings etc. Historically, tessellations were used in ancient Rome and in Islamic art. A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

Triangle tessellation template