Graphic concept:
A regular Pentagon is a closed shape consisting of five equal-length line segments connected end to end. Plane figures with equal internal angles are called regular pentagons. Every corner of a regular Pentagon is 108, and each side is equal in length. A regular Pentagon is a rotationally symmetric figure, but not a centrally symmetric figure.
Regular pentagonal structure;
First, the radius of a Pentagon is determined by the unit circle. C is the center of the unit circle, m is the midpoint of the radius of circle C, and d is located on the circumference perpendicular to the other half diameter of MC. Let the bisector of the angle CMD be the intersection of the bisector of the angle CMD and CD. Make a straight line parallel to MC with Q, so that the intersection with circle C is P, and then DP is the side length of a regular Pentagon.
The application of regular pentagons;
1. Architectural design
Regular pentagons are often used in elevation, plane layout and structural design in architectural design. Many towers are designed into regular pentagons.
2. Art and decoration
Regular pentagons are widely used in art and decoration. In many ancient cultures, regular pentagonal geometric elements were used in patterns and patterns to achieve aesthetic effects. In addition, many artists also use regular pentagons as the composition and proportion basis of painting, sculpture and design creation.
3. Mathematical research
Regular Pentagon is a classical mathematical problem, and exploring its properties and construction methods has always been one of the important topics in mathematical research. Mathematical concepts such as golden ratio and Fermat's last theorem are closely related to regular pentagons.
4. Seal mark
Regular pentagons are often used as symbols of organizations, institutions or trademarks. The Olympic rings all use regular pentagons to convey specific meanings and values.
Step 5 be natural
In nature, some objects and creatures also present regular pentagons. The petal arrangement of many plants, the body structure of starfish and the crystal morphology of some crystals all have the characteristics of regular pentagons.