Math and architecture are two different-looking fields, but they both have very close relationships. Underneath the beauty of the magnificent structure of architecture lies its underlying mathematical principles. In the world of architecture, mathematics is used to design aesthetic, efficient, and safe buildings. From geometry to the theory of proportions, mathematics gave architects a tool to create visual and functional works. This article will explain how math is involved in architecture, including examples and principles of math often used.
1. Geometry and Architecture
Geometry is one of the most fundamental elements of architecture. Geometric shapes like circles, triangles, and square shapes are often used in building designs. These shapes not only provide structural stability but also offer proportional and harmonious visual beauty. The famous example of using geometry in architecture is Notre-Dame Cathedral in Paris and Egyptian Pyramid, which utilizes symmetry and geometric proportions to achieve beauty and endurance.
2. Golden Rate in Architecture
Gold ratio, also known as golden ratio or phi It's a mathematical proportion found in many aspects of nature and art. In architecture, the golden ratio is used to reach a harmonious and visual aesthetic. This ratio is often used in building design to create natural and beautiful proportions for the human eye.
The example of the building that uses the golden ratio is the Parthenon in Athens, designed by the proportion that follows this ratio. Many modern architects also use the golden ratio in interior design, window placement, doors, and even in the layout of the room. Building-designed using golden ratio tends to have a natural and fun visual attraction.
3. Fraktal in Architecture
Fraktal is a mathematical pattern that can be found in many aspects of nature, and some architects use it in their designs. The fractal structure has a recurring pattern on different scales and is often seen in nature, as in the shape of leaves, branches of trees, or ice crystals. In architecture, fractals applied to building designs to create a repetitive pattern that's beautiful and complex.
One example of fractal architecture is the Eiffel Tower in Paris. Although it's not pure fractal, it uses repetitive patterns on a smaller scale, creating powerful and visual interesting structures. Fraktal is also often used in modern designs to create complex patterns in building phases or roof structures.
Four. Symmetry and Projects in Building Design
Symmetry is an important element in architectural design because it gives a sense of balance and harmony. Symmetry can be mirror symmetry (where one side of the building is a mirror of the other side) or rotation symmetry (as in circular buildings that look the same from different points of view). In addition to symmetry, proportion also plays an important role in creating aesthetic buildings. This proportion is governed by various mathematical principles that ensure that each part of the building looks harmonious with the other.
Building like the Taj Mahal in India is known for its perfect symmetry and balanced proportions, which gave a magnificent and elegant impression. Architect often uses the concept of the proportions of the theory of ancient Greek proportions, which believe that true beauty lies in harmony and balance that is achieved through the precise comparison.
5. Mathematical Function in Building Structure
In addition to aesthetic aspects, mathematics is also used in technical calculations to ensure the power and stability of buildings. Various equations and mathematical functions are used to calculate the burden, pressure, and force applied to structure. Structural analysis uses mathematical principles such as calculus, linear algebra, and numerical analysis to design buildings that can withstand externalities like winds, earthquakes, and human burdens.
For example, the computation of beams and columns in the structure requires the use of calculus and algebra to ensure that buildings can sustain the burden without deformation or collapse. The design of bridges, skyscrapers, and other buildings involves complex mathematical calculations to be safe and durable.
Six. Mathematics in Modern Architecture
In modern architecture, computers are used to do complex mathematical calculations and simulations. Computer modeling allows architects to create a realistic 3D model of buildings and test the structure before construction begins. This technique is known as Building Information Modeling (BIM) who uses mathematics to create detailed digital models. BIM allows architects and engineers to work with accurate data, reducing the risk of error in planning and construction.
Software such as AutoCAD and Rhino help architects apply principles - mathematical principles in high precision design. By using this software, architects can create complex geometric shapes, calculate volumes, and check building stability mathematically.
Conclusion
Mathematics plays an important role in architecture, both in aesthetic and structural aspects. By understanding geometry, golden ratio, fractal, symmetry and other mathematical concepts, architects can create buildings that are not only beautiful but also functional and safe. Modern technology continues to develop our ability to apply mathematics in architectural design, allowing building creation to get more and more complex and amazing.
Source: Burry, M., & Burry, J. (2010). The New Mathematics of Architecture. Thames & Hudson.
