1, the bottom is a regular polygon: the bottom of a regular pyramid is a regular polygon, and each vertex corresponds to a vertex on the bottom. Because the bottom surface is a regular polygon with equal internal angles, the bottom surface is a convex polygon.

2. All sides are isosceles triangles: because the distance between the vertex and the bottom of a regular pyramid is equal, the vertical lines from the vertex to the bottom are also equal, making the height of each side of the triangle equal, so the triangles on each side are isosceles triangles.

3. The sides are perpendicular to the bottom: because the distance between the vertex and the bottom of a regular pyramid is equal, the vertical lines from the vertex to the bottom are also equal, which makes the heights of all sides of a triangle equal. At the same time, because the triangle on each side is an isosceles triangle, the height on the bottom is equal, that is to say, the height of each side of the triangle forms a 90-degree angle with the bottom, that is, the triangle on each side is perpendicular to the bottom.

4. The projection of the vertex on the bottom surface is the center of the bottom surface: because the distance between the vertex and the bottom surface of a regular pyramid is equal, the vertical lines from the vertex to the bottom surface are also equal. This means that the height of the right pyramid is equal, so the projection of the vertex on the bottom surface is the center of the bottom surface.

The application of positive pyramid;

1. Architectural design: The shape and structure of a regular pyramid are often used in architectural design. For example, the pyramids in Egypt and the obelisk in France were designed and built with the shape and structure of regular pyramids. These buildings are not only solid in structure, but also show solemn, mysterious and shocking visual effects.

2. 3D modeling and computer graphics: In 3D modeling, animation and computer graphics, regular pyramid is a common geometric shape, which can be used to describe the shape and appearance of objects in 3D space. By rotating, translating and scaling the regular pyramid, various complex 3D models and scenes can be created.

3. Mathematical research and application: A regular quadrangular pyramid is also a polyhedron in mathematics. It has some special properties, such as the side is perpendicular to the bottom, the bottom is a regular polygon, and the side is an isosceles triangle. These properties make the regular pyramid applied in geometry, topology and group theory.

4. Industrial manufacturing and production: Regular pyramids are also used in industrial manufacturing and production. For example, the shape and structure of some machine parts can be designed and manufactured by using regular pyramids. In addition, in the manufacturing process, the right pyramid can be used to describe and measure the parameters such as size, angle and position in the manufacturing process.