Question

Please help me out I am in a tough stiuation

1.Please write this in your own words
Tessellations were used by the Sumerians (about 4000 BC) in building wall decorations formed by patterns of clay tiles. Decorative mosaic tilings made of small squared blocks called tesserae were widely employed in classical antiquity, sometimes displaying geometric patterns. The 5 best shapes to use in tessellations are triangles, squares, hexagons, octagons, and dodecagons (12-sided polygons).The three types of tessellations are regular tessellations, semi-regular tessellations, and mosaic tessellations. Regular tessellations are those in which all of the tiles are the same shape, such as in a checkerboard. Semi-regular tessellations are those in which several different shapes are used, but all the shapes fit together without gaps. Mosaic tessellations are those that are made up of a combination of several different shapes, and often contain curved lines.
The thought process for working with each of the three types of tessellations is similar. First, you should consider the shapes that you want to use. If you are creating a regular tessellation, you will need to choose a single shape that can be repeated to form the tessellation. For semi-regular and mosaic tessellations, you will need to choose several shapes that can fit together without gaps. Once you have chosen the shapes, you can begin to arrange them in a way that creates the desired effect. For semi-regular and mosaic tessellations, you may need to experiment with different combinations of shapes to find the best arrangement. Finally, you can create a final draft of the tessellation that can be used to make the design. Lastly the rules, the first rule is The tessellation must tile a floor (that goes on forever) with no overlapping or gaps. The second rule is that the tiles must be regular polygons - and all the same. Third rule is on each vertex must look the same.

Answer 1

The Sumerians employed tessellations to create wall decorations made of clay tile patterns around 4000 BC. In classical antiquity, tesserae—small squares blocks—were frequently used to create decorative mosaic tiling, which occasionally had geometric designs. Triangles, squares, hexagons, octagons, and dodecagons are the 5 greatest forms to utilize in tessellations (12-sided polygons). Regular tessellations, semi-regular tessellations, and mosaic tessellations are the three different forms of tessellations. Regular tessellations, like those seen in a checkerboard, have tiles that are of the same form. Multiple diverse forms are employed in semi-regular tessellations, but they all fit together seamlessly. Tessellations that include multiple distinct shapes and frequently have curving lines are known as mosaic tessellations.

Working with each of the three categories of tessellations requires a similar way of thinking. You should first think about the forms you wish to employ. You must select a single shape that may be repeated again in order to create a regular tessellation. To create semi-regular and mosaic tessellations, you must select a number of forms that can fit together seamlessly. After selecting the forms, you may start arranging them to get the desired result. You might need to experiment with various form pairings for semi-regular and mosaic tessellations to determine the ideal arrangement. A final version of the tessellation that can be utilized to build the design may then be created. The regulations are last, and the first rule is With no overlaps or gaps, the tessellation must cover an endless floor. The tiles must all be identical regular polygons, which is the second requirement. The third requirement is that every vertex be identical.