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Is there a close relationship between architectural design and mathematics?
Yes The seismic capacity of buildings is related to mathematics. For thousands of years, mathematics has been a valuable tool for design and architecture. It has always been the source of architectural design ideas, and it is also a means used by architects to eliminate trial and error technology in architecture.

Some historical examples are-

The calculation of the size, shape, quantity and arrangement of the stones used to build the pyramids in Egypt, Mexico and Yucatan Peninsula depends on the knowledge of right triangle, square, Pythagoras theorem, volume and estimation. The regularity of the design of Machu Picchu in Peru is impossible without geometric planning.

The Parthenon in Athens, Greece, was built by the knowledge of golden rectangle, optical illusion, accurate measurement, and cutting standard-sized columns into precise proportions (always making the diameter 65438+ 0/3 of the height).

The geometric accuracy of the layout and location of Epizav Roscoe Theatre has been specially calculated to improve the acoustic effect and maximize the audience's vision.

The innovative use of circles, semicircles, hemispheres and vaults became the main mathematical ideas introduced and perfected by Roman architects.

Byzantine architects perfectly combined the concepts of square, circle, cube and hemisphere with the vault, just like the church of Sophia in Constantinople.

Architecture is a developing field. Architects study, improve, improve and reuse past ideas and create new ones at the same time. In the final analysis, architects have the freedom to imagine any design, as long as they have mathematics and materials to support the designed structure.