1, axisymmetric figure: such as square, rectangle, diamond, circle, etc. These figures form two identical figures on both sides of a straight line passing through its center, so they are called axisymmetric figures.
2. Centrally symmetric graphics: such as parallelogram, trapezoid, diamond, etc. All the vertices of these figures revolve around a central point, and any straight line passing through the central point can divide the figure into two identical parts.
3. Mirror symmetrical graphics: such as buildings, cars, faces, etc. Some parts of these figures form mirror images in the mirror, but they are not symmetrical as a whole.
4. Rotate symmetrical figures: such as snowflakes and beehives. These figures can be rotated by a certain angle to get exactly the same figure.
5. Pan-symmetric graphics: such as butterflies and vases. The symmetry of these figures is not only manifested in shape, but also in color and texture.
6. Geometrically symmetrical figures: such as bows and flowers. These figures have obvious symmetry in shape and structure and are often used as decorations.
7. Algebraically symmetric graphics: such as the graphic representation of Yang Hui triangle and Fibonacci sequence. The symmetry of these figures is determined by mathematical formulas or algebraic expressions.
Homology of * * symmetric graphs;
1, Aesthetics: Symmetric graphics often have a simple, symmetrical, coordinated and regular aesthetic feeling, giving people a beautiful enjoyment. For example, the axisymmetric graphics and the central symmetric graphics that are common in our lives all show the characteristics of beauty and generosity.
2. Balance: Symmetric graphics often have the characteristics of balance and stability, which can give people a sense of security and stability. For example, buildings are usually designed as symmetrical structures to enhance their stability and safety.
3. Uniqueness: For an axisymmetric figure, its symmetry axis is unique. Similarly, for a figure with a symmetrical center, its symmetrical center is unique. This means that by finding the symmetry axis or center of the graph, we can determine the uniqueness of the graph.
4. Regularity: Symmetric figures often have obvious regularity and repeatability, because they can be copied and repeated through symmetric operations. For example, our common axisymmetric figures such as squares, rectangles and diamonds are all regular and repetitive.
5. Universality: Symmetric graphics widely exist in nature and daily life. For example, animals, plants, crystals and other natural objects all have some symmetry. At the same time, many cultural symbols and signs also use symmetrical graphics as design elements to convey certain information and images.