After research, the formula for calculating the sum of all numbers on each row, column and diagonal of the magic square of any order is: Nn= 1/2n(n2+ 1), where n is the magic square order and the number to be obtained is Nn.
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Hexagonal magic stars play an important role in geometry. It not only has a beautiful appearance, but also has unique laws and methods.
Hexagonal magic star is a figure composed of six equilateral triangles, each of which has equal side length. Every angle in this graph is 120 degrees, and the sum of all internal angles is 720 degrees. This special angle setting makes the hexagonal magic star have many important applications in mathematics.
Hexagonal magic star has symmetry. Each side of it is the same as the other two sides, which makes? It remains unchanged in rotation, mirror image and translation. This symmetry makes the hexagonal phantom star widely used in geometry, such as collage art and pattern design.
Hexagonal magic stars are rich in internal structure. Since each triangle is an equilateral triangle, a hexagonal magic star can be divided into many small equilateral triangles. The number and shape of these small triangles can be adjusted as needed to form different patterns and patterns. The flexibility of this internal structure makes the hexagonal magic star a very useful tool, which can be used to build complex geometric shapes and patterns.
Hexagonal magic stars also have some special properties. For example, the sum of its internal angles is 720 degrees instead of the ordinary 360 degrees. This means that in a hexagonal magic star, the included angle between parallel lines is always a multiple of 120 degrees. This special angle setting makes the hexagonal magic star play an important role in the study of trigonometric functions and trigonometric equations.
In practical application, the hexagonal magic star also has a wide range of uses. For example, in architectural design, hexagonal phantom stars are often used to construct regular and symmetrical patterns. In chemistry and biology, hexagonal phantom stars often appear in the structure of molecules and cells.