Answer:
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.
Step-by-step explanation:
The 5 best shapes to use in tessellations are:
1. Hexagon
1. Hexagon 2. Triangle
1. Hexagon 2. Triangle 3. Square
1. Hexagon 2. Triangle 3. Square 4. Rectangle
1. Hexagon 2. Triangle 3. Square 4. Rectangle 5. Rhombus
Each of these shapes has properties that make them ideal for creating tessellations. The hexagon, triangle, and rhombus are all regular polygons, meaning that they have sides of equal length. This makes them ideal for creating regular tessellations, as they can easily be repeated to form a pattern. The square and rectangle are both quadrilaterals, and can be used to create semi-regular and mosaic tessellations. The sides of these shapes can be arranged in different ways to create unique patterns.